
Kata Pengantar
Segala puji dan syukur kami panjatkan kepada Tuhan yang Maha Esa karena berkat kebaikan-Nya kami mampu menyelesaikan tugas makalah ini dengan baik dan tepat waktu. Tidak lupa, tim penyusun atau kelompok sebelas ingin mengucapkan terima kasih kepada Dr. Makmuri, M.Si. dan Agus Agung Permana, M.Pd. selaku dosen pengampu yang sudah membantu kami dalam proses penggarapannya. Bahan ajar yang berjudul ”E-BOOK TRANSFORMASI GEOMETRI” disusun oleh kami selaku kelompok 4 (empat) untuk memenuhi tugas mata kuliah Media dan TIK dalam Pembelajaran Matematika.[br]Dalam penyusunan e-book ini, kami sudah berusaha seoptimal mungkin mengusahakan yang terbaik. Namun, kami tidak menutup kritik beserta saran sehingga di kemudian hari kami bisa membuat satu makalah yang lebih berkualitas. Semoga makalah berikut bisa mempunyai dampak dan manfaat bagi kita semua.[br][br][br]Jakarta, 28 September 2023[br][br][br]Penulis[br]
A. Translasi
A. Translasi[br] 1. Translasi Titik[br] a. Konsep[br] b. Latihan Soal[br] 2. Translasi Garis[br] a. Konsep[br] b. Latihan Soal
Translasi terhadap titik pusat (a,b)
Applet Translasi Titik terhadap titik pusat (a,b)
Catatan:
Gunakan Applet [b]Translasi Titik[/b] di atas untuk memahami konsep [b]Translasi Titik[/b] dan membantumu menyelesaikan latihan soal di bawah ini.
a. Konsep Translasi Titik terhadap titik pusat (a,b)
Translasi Titik adalah pergeseran suatu titik pada suatu bidang datar dengan jarak dan arah tertentu. Translasi dinotasikan dengan T(a,b) dengan a dan b adalah komponen translasi.[br][br]Rumus dari translasi adalah A(x,y) [math]\longrightarrow[/math] A'(x+a , y+b) = A' (x' , y')[br]Keterangan:[br](x,y) adalah asal titik yang digeser[br](x' , y') adalah titik dari bayangan[br](a,b) adalah komponen translasi[br][br]Titik awal dapat dinyatakan dengan A dan titik setelah mengalami pergeseran dinyatakan dengan A' atau A aksen.
b. Latihan Soal Rotasi Titik terhadap titik pusat (a,b)
1. Tentukan bayangan dari titik A(2,4) pada translasi T(3,5)![br]2. Tentukan bayangan dari titik A(-5,3) pada translasi T(7,-8)!
Applet Translasi Garis terhadap titik pusat (a,b)
Catatan:
Gunakan Applet [b]Translasi Garis[/b] di atas untuk memahami konsep [b]Translasi Garis[/b] dan membantumu menyelesaikan latihan soal di bawah ini.
a. Konsep Translasi Garis terhadap titik pusat (a,b)
Translasi Garis adalah pergeseran suatu garis pada suatu bidang datar dengan jarak dan arah tertentu. Translasi dinotasikan dengan T(a,b) dengan a dan b adalah komponen translasi.[br][br]Rumus dari translasi adalah A(x,y) [math]\longrightarrow[/math] A'(x+a , y+b) = A' (x' , y')[br]x'=x+a[br]x=x'-a[br][br]y'=y+b[br]y=y'-b[br][br]Keterangan:[br](x,y) adalah asal titik yang digeser[br](x' , y') adalah titik dari bayangan[br](a,b) adalah komponen translasi[br][br]Titik awal dapat dinyatakan dengan A dan titik setelah mengalami pergeseran dinyatakan dengan A' atau A aksen.[br][br]Substitusikan nilai x dan y yang telah ditanslasikan, selanjutnya persamaan garis bayangan akan ditemukan.[br][br]Contoh Soal:[br]Garis [i]k [/i]dengan persmaan 2x+3y=6 ditranslasi dengan komponen translasi T (1,3). Tentukan bayangan garis [i]k [/i]tersebut![br]Pembahasan:[br]A(x,y) [math]\longrightarrow[/math] A'(x+a , y+b) = A' (x' , y')[br]x'=x+a[br]x'=x+1[br]x=x'-1[br][br]y'=y+b[br]y'=y+3[br]y=y'-3[br][br]2x+3y=6[br]2(x'-1)+3(y'-3)=6[br]2x'-2+3y'-9=6[br]2x'+3y'-11=6[br]2x'+3y'=17
b. Latihan Soal Rotasi Garis terhadap titik pusat (a,b)
1. Garis [i]k [/i]dengan persamaan 3x+4y=12 ditranslasi dengan komponen translasi T(2,4). Tentukanlah bayangan garis [i]k [/i]tersebut![br]2. Titik P(a,b+2) digeser dengan T(3,2b-a) sehingga hasil pergeseran menjadi Q(3a+b,-3). Tentukan posisi pergeseran titik R(2,4) oleh translasi T di atas.
1. Refleksi terhadap titik pusat O(0,0)
Applet Refleksi Titik terhadap titik pusat O(0,0)
Catatan:
Gunakan [b]Applet Refleksi Titik[/b] di atas untuk memahami konsep [b]Refleksi Titik[/b] dan membantumu menyelesaikan latihan soal di bawah ini.
a. Konsep Refleksi Titik terhadap titik pusat O(0,0)
Titik A(x, y) dicerminkan terhadap titik O(0, 0) menghasilkan bayangan [br]A'(x', y')[br]Mari kita tentukan matriks pencerminan terhadap titik O(0,0). Misalkan [br]matriks transformasinya adalah [br][img]data:image/png;base64,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[/img][br]
b. Latihan Soal Titik terhadap titik pusat O(0,0)
1. Tentukan bayangan dari titik B(-2,1) yang direfleksikan terhadap titik pusat O(0,0)[br] Jawab:[br] Titik asal B(-2,1) [br] Refleksi titik pusat O(0,0) [br] Maka kita pakai rumus diatas: bahwa jika B(-2,1) .........mendapat bayangan B'(2,-1)[br][br]2. Bayangan dari titik P(3,-1) terhadap titik pusat O(0,0) adalah...[br] Jawab:[br] Titik asal P(3,-1)[br] Refleksi titik pusat O(0,0)[br] Maka titik bayangan P'(-3,1)
Applet Refleksi Garis terhadap titik pusat O(0,0)
Catatan:
Gunakan [b]Applet Refleksi Garis[/b] di atas untuk memahami konsep [b]Refleksi Garis[/b] dan membantumu menyelesaikan latihan soal di bawah ini.
a. Konsep Refleksi Garis terhadap titik pusat O(0,0)
Sifat bayangan dalam refleksi sebagai berikut:[br]1. Jarak benda terhadap cermin = jarak cermin dengan bayangan[br]2. Membentuk sudut tegak lurus dengan garis cermin[br]3. banda asal = benda bayangan
b. Latihan Soal Garis terhadap titik pusat O(0,0)
1. Sebuah garis dengan persamaan –2x + 4y – 1 = 0 dicerminkan terhadap titik [br] asal O(0, 0). Tentukan persamaan bayangan garis tersebut![br][br] Jawab:[br] Kita substitusikan harga x dan y ke persamaan gari -2x + 4y - 1 + 0 [br] diperoleh -2(-x) + 4 (-y) - 1 = 0[br] 2x - 4y - 1 = 0 [br] Maka bayangan garis yang kita peroleh adalah: 2x - 4y - 1= 0 [br] [br]2. Bayangan garis 2x -3y + 1 =0 [br] Jawab: [br] Kita substitusikan harga x dan y ke persamaan gari 2x - 3y + 1 = 0 [br] diperoleh -2(-x) - 3 (-y) + 1 = 0[br] 2x + 3y + 1 = 0 [br] Maka bayangan garis yang kita peroleh adalah: 2x + 3y +1= 0
1. Rotasi terhadap titik pusat O(0,0) dengan sudut positif dan sudut negatif
1. Applet Rotasi Titik terhadap titik pusat O(0,0) dengan sudut positif
2. Applet Rotasi Titik terhadap titik pusat O(0,0) dengan sudut negatif
Catatan:
Gunakan [b]Applet Rotasi Titik[/b] di atas untuk memahami konsep [b]Rotasi Titik[/b] dan membantumu menyelesaikan latihan soal di bawah ini.
a. Konsep Rotasi Titik terhadap titik pusat O(0,0) dengan sudut positif dan sudut negatif
[b]A. [/b][b]Rotasi (Perputaran) [/b][br][br][justify]Cobalah kamu mulai mengamati keadaan lingkungan disekitarmu! Benda manakah yang mengalami pergerakan dengan cara berputar? Ada banyak contoh benda yang mengalami pergerakan dengan cara berputar, seperti: Perputaran jarum jam yang bergerak ke posisi angka tertentu, kipas angin, kincir angin, dan lain-lain. Pada kesempatan kali ini, kita akan mempelajari tentang gerak berputar (rotasi) suatu benda yang mempunyai sudut putaran dan pusat putaran pada bidang koordinat.[/justify]Coba kamu perhatikan gambar Rotasi objek dengan pusat rotasi yang berbeda-beda berbeda berikut![br][img]data:image/png;base64,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[/img][br][justify]Pada gambar terdapat tiga objek (segitiga) yang berputar dengan sudut putaran tertentu. Hasil putarannya akan bergantung pada pusat putaran dan besarnya sudut putaran. Gambar A merupakan putaran suatu benda yang sudut putarannya terletak pada objek itu sendiri. Gambar B merupakan putaran benda yang pusat putarannya berada di tepi benda itu sendiri, dan Gambar C merupakan putaran benda yang pusat putarannya berada di luar benda. Namun bentuk dan ukuran benda tidak berubah setelah diputar.[br][br][b]Perhatikan gambar berikut ini! [br][img]data:image/png;base64,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[/img][/b][br][br]Oleh karena itu, dengan metode induktif diperoleh sifat rotasi, sebagai berikut:[br][br][img]data:image/png;base64,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[/img][br][br]Selanjutnya, kita akan melakukan eksperimen lagi untuk memahami konsep rotasi. Perhatikan pergerakan titik pada Rotasi Titik dengan sudut β dan Pusat O(0,0) berikut:[br][br][img]data:image/png;base64,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[/img][/justify][br][br]Masih ingat konsep trigonometri? [br][br][br]Pada segitiga OCA, koordinat objek adalah A (r cos α, r sin α). Diputar sebesar sudut α dan Pusat O(0, 0) sehingga posisi benda menjadi di koordinat A' (r cos(α+β), r sin(α+β)).[br][br]Selanjutnya, kita akan mencoba mencari konsep rotasi. [br]Misalkan matriks rotasi adalah [img]data:image/png;base64,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[/img] sehingga:[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAiAAAADGCAYAAADrCzuqAAAgAElEQVR4Ae2djdXjNs5G00JqSAvpISWkhm0hHWwH6SAVpIJtYBtIB+lhvnPny81iEJCibNmSbfAchxIJ4ucBCEKy8853X7o1Ao1AI9AINAKNQCPwZAS+e7K8FtcINAKNQCPQCDQCjcCXLkA6CBqBRqARaAQagUbg6Qh0AfJ0yFtgI9AINAKNQCPQCHQB0jHQCDQCjUAj0Ag0Ak9HoAuQp0PeAhuBRqARaAQagUagC5COgUagEWgEGoFGoBF4OgJdgDwd8hbYCDQCjUAj0Ag0Al2AdAw0Ao1AI9AINAKNwNMR6ALk6ZC3wEagEWgEGoFGoBHoAiTEwH//+98vP/300zef3377LVDML//4448vP//885xoxyy8/vOf/+xY0aSNQCPQCDQCjcBrINAFSPDTn3/++eXHH3/8WkRw8FN8fP/9919+/fXXQDW+hJ4C5qiGDujUrRFoBBqBRqAReDcEugBJHv3hhx++Fh4OU1D8+9//9vbrGwneTORxixUKFuZ++eWX4Zo4x1sX+dFz75uYSPc3s75oBBqBRqARaATeAIEuQIIT+Qrlu++++0JPoxCgoPBrEIsM+t9///1LLFag5Z5iBXruaXEN49DEwgL+0DDH2xd638REuq/M+j+NQCPQCDQCjcCbINAFSHAkhQAFCG8wKAYoFig0aBYnFAi2+BaEoiEWL9AwFgsYxiwy5ME8RQu0yKCXTtnSdt8INAKNQCPQCLwLAl2ABE/6VQhFxr/+9a+vxYLTvsnwnp4Cxd+HME9xEVteYxETaRhDFoWIb00sZixGIn1fNwKNQCPQCDQC74BAFyDBixQBFA00igHeaPjGg0KDgsPGPfQWCXxdQiFB880FbzYsSqDjjQkfruEvPWu49rcmrGcddPJSbveNQCPQCDQCjcA7INAFyF9epACg4LBgYJiCwzcTFAPcM8+Ha99YQEvxAC1zFjG+8WCMwsOihXsKC+Uxpxx4Rboo4y9Vu2sEGoFGoBFoBF4egS5A/nIhBz1vO3zjwbBjFB825kdFAXMUHbFxH3lyLT967uOYa6sx527p4UfB41uWW3hUa+BJAXVkewTPI/VrXo1AI9AINAL3I/CUAoRD7+hDast0ZPq/tW7RfsI8eHCw5wJJ22/xkUWNb3zkdU8febYP70Gy1zYCjUAjcG0E7i5A+CpiVFzwhM/XDWf976QcZny1ceQBeW13/v9vSSg0csNHlZ/u8REFAvj6RifLvOU+8/xEH96CW69pBBqBRuDVEPjnSbXDAg+L6mCDDeNnFR+awdclHMijr02ke4few7oqQBhjPrd7fMRaYuDIVvH8JB8eiWXzagQagUbgygjcXIDwKp+3HxQYPAXnxluHo5+Os4zVe3TkYHv3xtsmCoJccFF44Kvc7vURckZf6WRZq/cjnp/iw1Wcmq4RaAQagVdH4OYChP9rhAPMAy8DwWEY/zfTOM8TLQciBYpP5bzGp0ioDsq4luu4Pr7ZUBcOsdg4JPOhHOevds1hG+1a0Q9fgDd4Yqu4spb/q4b53GY+sjjBH37FIu7I4Xrk3yyHe/khU36M43P0pZ/xfDUfVhj0WCPQCDQCjcD/EPj2pP7f+PSKw803Ch76cYGHxehvWHBwcQhxGPFDUdrqD0ZZx3pkUMDkQzDyjDpxkKLrKzQPevqVBiYWClUBUvGY+UiM6SkOKGC4xuf0ext2UFSpWyyGoowtvq/kwy1ber4RaAQagU9H4KYChEOeA4xWFSAeNPSzxloOFQ64UbEyW0/Rgi6xwa+Sy+Fp0RTpr3oNHhRYK0UIh7uH+ir2q3RgRpFn0XcvXtiEvjYLyZXC5tV8qI3dNwKNQCPQCPwTgd0FCAddfJPgH9SKhz4FBU/OW81DML/F2FrnfC5+OMxyQSLtyuGFzlf7cGDPGjbHwso3CtFH1fpVH8EHHaA/omU/EE+xIJnJyGtntD3XCDQCjUAjcG0EtquEoD+HG4dRdUjHAiQXBoHFN5ccnvC65e0HjCxgfEuA3BGvVzu8fAMScf0GvL9usKvyx1YBsuojCgT4r7yhqPTLY8iNRRVvsYiDlfZqPlyxqWkagUagEfhUBHYVIDyp5oPNIiAelKtP1/C753t9n/aRzbW/J6mc+UqHFwcyuFhYVfYwRpGCXblRMGQ/ZZpVH4Ep/KJ/M6899+gMPxo8t/SMvF/Jh1Hvvm4EGoFGoBH4JwLLBQiHIk+u+UmYQ4QDJb55cGx2aHn48PVLdYj+U9V6BJ04xPjM5L3S4UVhtlV8gMbo9y74Y+trjRUfiek9RWL2GnZZ0FDc5HjK9PH+lXwY9e7rRqARaAQagX8isFyAjJK/T9LxSdavVvxhZBbLIWTR4XoOIoqReCBxUEW+mQ/38OEg26KzUKl4vOIY9oJPbh7w4pvnvd/yUfxtBvjy2xp9JI/crxQ1rEFvfB2L1syrun83H1Y29lgj0Ag0Ap+CwD9PsMJyX8NzAMS3DB44HCjMxad2Dqzqx6WMe5ghikONtXxywbJSgPCkz9pYuGQTPJSjfpnmle4t2sCH69gY85PxjHRcVz4CR9ZH3+nnra+FpIsxkmUqd6tAyuvezYfZvr5vBBqBRuDTEFgqQG4BhcNvqzCY8eUQYz1P6rPGQbl14EGz98CbyXyXuXt9lHHgrQxFzVaLBegWrfPtQ5HovhFoBBqB90DgYQUI8HDob/0WYQQja7feWPAKf4t/PzmPEP7/8Xt8FDlTKMJr9iYKevy196uX9mFEuq8bgUagEXgPBB5agHAY8bS79fuMPVDylQP8eOsRvyaoePgWZeuriGrtp4w9wkcZO77Cwxf4Ln9llGnzffswI9L3jUAj0Ai8BwIPLUCEiIKBp+MjGkUHv1HYevOBTA6+rbcoR+j0DjyO9FHGg9+OVL/xyXT5vn2YEen7RqARaATeB4GnFCDvA1db0gg0Ao1AI9AINAJHINAFyBEoNo9GoBFoBBqBRqAR2IVAFyC74GriRqARaAQagUagETgCgS5AjkCxeTQCjUAj0Ag0Ao3ALgS6ANkFVxM3Ao1AI9AINAKNwBEIdAFyBIrNoxFoBBqBRqARaAR2IdAFyC64mrgRaAQagUagEWgEjkCgC5AjUGwejUAj0Ag0Ao1AI7ALgS5AdsHVxI1AI9AINAKNQCNwBAJdgByBYvNoBBqBRqARaAQagV0IdAGyC64mbgQagUagEWgEGoEjEOgC5AgUm0cj0Ag0Ao1AI9AI7EKgC5BdcDVxI9AINAKNQCPQCByBQBcgR6DYPBqBRqARaAQagUZgFwJdgOyCq4lvQeCXX3758tNPP/39+de//vXljz/+WGb173//+8vvv/++TD8jRC66/PnnnzOynmsEGoFGoBF4MAJdgDwY4Gb/5ctvv/325bvvvvtaRPznP//58vPPP3/5/vvvl6H54YcfvrDuiEbhcRSvI/RpHo1AI9AIfCoCXYB8quefaDcFCEWEjQKAgiQ2aHxL4tsO3lZQrED7448/fp3/73//+3UZhQRvRljDGxU+zkHgHPNc05RB360RaAQagUbgXAS+PQXO1aWlvykCFgiaxz2FgY17CgwKD4oDCg6KD4sM34BQuDDGB3qKE8YoMFjDOO3XX3/9yp85rxmHJ3QWOMrvvhFoBBqBRuD5CHQB8nzMP04iBQQfig6+eqHgsFig4GDMe8ChSKB4oPH7Eehj8+2GYxQUsaCh6KBAkYdvRpARCxXXd98INAKNQCPwfAS6AHk+5h8lkcOfQ59Cg0KBYiO+gaC44E2GzbcUFg0ULpEeOsYoMmzw8GsWx5AHXSxe4ENh0q0RaAQagUbgfAS6ADnfB2+tAYUChYCNYiO+reA+Fglx3jcWfh3jG434NYpvUJjjw710FjPK5m0KH4obCxznum8EGoFGoBF4LgJdgDwX74+SxiHPGw8+FAY0egoIiw6KBeYpSihU6P06hp453lrEcdY6Dj/WQcO4c/JTDrIpbrKMj3JIG9sINAKNwIUQ6ALkQs54N1UoIHwzwdsImmPxDYRj0kQcGPONRhxnTHr6yI9r5uNYlB353HvNGx6Lq3t59fpGoBFoBD4JgacUIPlHg58E8KNt5U1AfMp/tDx8yZuEfLg/Wu5V+ce3OSs6vupeeFW9/d0PfmKv8BWcza//KICv0thX6HpvUQsf7LuXz7NxwRe+xQQH3myaa3io4D7/JkwdOzeJxOv0dxcgvtKuTCaYCJi46Su6HrsNAZ782aTxB5m3cdq3ikRAMn+15LbPym+pqzgHB/A3QX674tu7V90Lr6o36HNQxf3h4R73C9fE8ooPv/XoY+7YU6sxNdIAHsTrVWwa6VmNc17w8e0mRRT+sTHO/Oih6xNzk9i8Yn9XAULFSXDwfXvVGO/io0Lm9cdM5q+Y5PaiP4pzxkn0K+1V98Kz9QbTUT5ZwVkaCidyU84/8EZGbBQh+JE1r948gD3An2EPBRNy723us6i7RX7kjZ/wVywk4/wn5aZo9yte31yAECQEARs8VqiCQBXO+Dtsam3q/lsE8P0Rh8W3XK91N4tzns5GSTBa8ap74Qy9jypA0J2DMR5m+ISxXIAwzlN1NR79+ArX5ORn23FUAYLu+c0GtsA/N95uzc6XT8hNGZNXvP+nZxetIFDY5KMAGb0mIyFwaBFUJG8KFIuYqpCJ6lDZkvRZy4eAjU/g8I7fHyInzsOLe+XLY+sQiWuiTPTNGybqy7X2IQvdaciDD2NZv7ieTSYdtGDqk4Y2MGZjDnr04hrZ0tGvNPzJeuThFxr6cp+TOfdbNqzIfAYNtsywHukwi3OwXimwR3sBXMFaPvgMWjDdikliQ1roYxxgC7ziXsGOrGv0NTygjz4e6S1W0CoDO8AYOci+taHTaqzOZKBXxkR7o43ysNjyftaz3n2Fn9zjYMBn1KADH7DmAy33Nsfdd/LVN9CpJ2uJgdi4h7ayDzr5sVae6A8u9zR43eNzZLM34RNtQl90FY+sI/tmtE/AAH637Pksp+8fh8BNBQjBZpIgeHF0bDo/BpPzJjnWkyDoCRL4MDdq0BiMBKZPONIjk3l4MM8H3gRpbNC46VnD/CjAWYet2OcmJeCRYSKAx6zBGx7ihGzWMoYuo+aGhJamHmKKfegVbeHaceRyj34mJnjMmj5BNnzAhusZRsyJzYz32XPaQb/awAtMaPovrtUXcSxfgz9+yrT4lVjSr/hK/xEXMz1ZC09jg3XqiXz9rV/QIcY9NMiOcrQPv9NGen+d/Gue9ciFlnXsZ/Ti/taGHtGWW/nEmEUf9gP6Zj/IX3u39gj0t+Yw1oERWPHxXh30m37NucOYgd7c6Vp64oDxUWMOXLQR+hhHo3Vb4/CQ5xbtaN6YNv7AAl3ByLG8Nsd9nn+V3JT1/qT7byuHRcsJZJOMiSsuNanOgpIkQ0KY0USeBqNjrGPMBj/uY7Bm3UjqebNAM6qi4Z3lMgYP5LF2tUGLvatr0Ak5sSEzHkzMm6wiHeMRixV/mAAif3TVTxHXKIt5Pq/QSGr4INo403srzmdrndvC3nkS7UrzoIwxi59IxjT8hI2ZX/YT89lvrLOpF33VWBtjDBr0YOyeZszdw0OM8Ld2zA4yZbFvkL/awADMRhhlPtBG/qyLflJXc6vrWZPXZn9CW41FHtgXY38kzzWrPXxXMRjxjMWTuOK/WQMXZI/aDI/Rmh5/LgJj7w304KCKm4ggyQFYHZ6ZHRvKpJnn8n11OEYaEw5PDLFVAYpcDpbRgRrXj+Rib06+cV11TaLZk5xJFMgZYWTyiAkFua6LPtIfM5vRLSZDeIlfPOyybVubHBuu9iEGttpKnG/xYF7sR7TO50NnRE88zPQ3ZnPyzn5SLvRVc76ac79BExsycgzF+XxtDK/EB7xXmzlJTOnZ86O9JF/0iPvG8VG/J4fBA2xYk/es/JFd+dZ1cf9Cl/MdYyP9R/u7kqc+VY8fVvwFzZ6iJPuH2EK3EVboZn6q9GQsx/yIrsfPQ2BXAeLTVRWAMdi2AsNDMifJEQxswNnhbdKNOsCLhIOusUFDYMMv00c61+cNqu6jxJ15eA+fnDCcG/UeAmwkk6m0znlv73hMVuDABh+10YGyhTv8XmmTE2/4Ycvvq3E+wjOOb+0FMJ75JvLiGv1nB2kV86wj3vFVbMhmfxCXMV6gmeltjOXDAd2Yu6chN+u5lx88cr7A51uHIvOsXWnmgdUcBk8LoRFO+KOyHfqYO9yvWfZIf3XNvkEen3vbFq4r/OGRc+pWbpnFKDK31q/o1TSPReDb03lDFpsgb9BqY5ugRuwsGHLSG9FvBdIoEElC1QZjAzNO0OdNHHWo5I4SfFyXr0cJI9NV9+DLAUUSgo8N/dEvN/TLyZf7mMDymsqH6pz9nddWGGWaK9xjDzjkQ7PSbTXOq7V5bGsvbPkm8xsdMtJV/tCX+QBiDXuR2MpF0Ezvar+5p4mlexq8q7jew5P1ed9XMZ55bmEb6bV3NYe5Fnrxy3sSP+T9pu+QZxvJrtazprJdvlmeMvb04HaP39Uv780qlqNe4hjH4vXW+kjb1+cgsFyAELAEeN5wBk88yB0bBWV1SM7M3wqkKhDdpOpAnzc8yX+2AbNcNggY8NnT1AUMVxo6RTxNFtoCj1Gy4SCJyde1kV/WAb45icADGdWhFddnjOLcla7xfU5wlX574rxan8cqbKXRN/FwcW7Ubx2SlT/Yb/jSvQuN18gxPqPMmd55v8GLuEO3exu80e+eVmGE/xkH81Gr1o1o9+awXOCxPtpJbCI/7nFks28Zj7HL2swP2sr3jFe+hEclb2TvbPxePjmekEVMwRc9R61aF2lHeESavj4XgeWMMXKmT0oEg20rseZD0nWjniAkgZo82JQckCZRN5iHJffQx+BljjE3sjSuqWQrFznQgwGJzGQe+asDfW6uyeOje2wDI+0TY3VnHZsTzJEHf5qbNtqkXmDGQVMddvoLfvDALg8leLm20hcsou8rmlca2xPnK3aJbYV7dbhs8aRoRkf8xAe+MQ7xBbFhrBg7UX7cG/qbsdhmehsbxBbr3RfIlZ97NfJcuUZ/+N3asBs9Yn4Qg4hT5u+6uH9HscDaPTlM3voAbPJ69yk9+kpb5Q70Mj9gpw37iI/c9KX7FDrjJMvLa1fuwTvitrIm0mBD5CE+xKRxHOm9Zt0sVt4tN2n3O/VLBYgBgkNjoHFN4PDJwcIGGW146N0MK2Ca5JQD35zg2LDoAE31ZgNdCVbmRzRZF4IfXtAjEz2QixzG4+YQi4iP/GaJTJrYk4DAT1255rCKTZ+oF3OVDujMenSeYU6iExdlOWaBE+VzbWKNOGSaV7oXU7CKfhRX8GFur72jveAhsAcjZBuTxjk+jk2/oW8VO8SMPKDB7sqmkd7Ici/RsxaM3BcRu6jXyjWYwPPWxt4x1umN6VnsI8t1Ue5s38J3i6e8yBlgrD70cd9Chw/xibq7ttLBAlDspbWgzbmReWMNGdBFedh+TwOLe3wuHtgDLz6jmIx6sm6kOzEJnyquI4++PheBpQLkFhUtCHJyvIXXK6xhg5OwP6mRREka3eYIvOpeeEW9b41Jizk9Sd7igLMYd/zqfbbj6vpSLN1SwGzF5q1xcHW83k2/hxUgAMXhNHp6ficg2UTY+inFFr7rJ4x9Efyqe+HV9OYhYG/O4SmagzvuX3hwyL1a801U9Rbkirb41iZiv6UntPir335sIXX9+YcWIAQKCWH1VeX14WoNQcAk94oJ+iwPvupeeCW90ZWn6T1xySHGm453elWP/eTdV7CJQo9iYrVRWGEbbziq1rmpQuW6Yw8tQDSbAoQnqW6vjwC+XPl+9vUtfYwFr7oXXkFvDp893/sTxxxkFC7v1ig+sG9PMXYGBpwL6LnS8C/Fx+hrsc5NKyhei+YpBci1TG5tGoFGoBFoBBqBRuBsBLoAOdsDLb8RaAQagUagEfhABLoA+UCnt8mNQCPQCDQCjcDZCHQBcrYHWn4j0Ag0Ao1AI/CBCHQB8oFOb5MbgUagEWgEGoGzEegC5GwPtPxGoBFoBBqBRuADEegC5AOd3iY3Ao1AI9AINAJnI9AFyNkeaPmNQCPQCDQCjcAHItAFyAc6vU1uBBqBRqARaATORqALkLM90PIbgUagEWgEGoEPRKALkA90epvcCDQCjUAj0AicjUAXIGd7oOU3Ao1AI9AINAIfiEAXIB/o9Da5EWgEGoFGoBE4G4FDChD+5UX+WeVu5yHAvxQ5+ieqz9OqJTcCjUAj0Ag0AjUCdxcgFB8//PDDF/pXaVf/p8X/+OOPLxQU9LaVf2qaf9Yaum6NQCPQCDQC10Hgzz///JrTc16/jobnaHJXAQKoFB+///77OdrvlIq+P/7442Xf1qDfTz/99OX777//u49vNQhe5n777bfS8lfzR2lEDzYCjUAj8GYI+KD+3XffDfP30SYj8+ovBu4qQPjaJR6QRwN4ND8O90d/VUSRQCFwS0M/CiTXw4uApbcRUIyNAssiRR6u674RaAQagUbgfgR4Mz3KvzPu5vP4ZntGf+8c5wmfK7ebC5Bng3kviLw14O3Bow/mXDCs6o1+ubBA14ofRdQssJh7pcJwFaOmawQagUbgbARu/QqfHM83Bs9qnBOPfuC+15abC5DZIUd1GKs8DlIKljiWFWcOGj5VkeD8rPJ0fUXDm4WtQ1kZUf6W3tmOqmDINNU9v99Ax9j4aisXJcyjZzXuWnRmHrpujcCjEHBf790jR+iDzLhPq72b5UiT10rnfJU/pGEtnxmNtPSZVhmR5lWu1V3cuY8t45rpI63X0uS1zoMzc1mW83tjUPrIDxmr/kTurQUI549nkHZrh33GQToxl85eezJG4hbtgibSbfFWhn1FH/lJt6e/qQBBaHXAAYYHqfM4i4OV+9FvF6jS4u8eoEUGTZ5xHn4ZWOYZV1Z8QwBw8Bz9VgUZWQfWWACoywqwUfcVemlYF39Aik5Uy+BZNeYifaaZFYiZtu8bgVsQYA8Sh8TuaG/fwne2BpnENnL5sE9I6urBvq1a3t9xnx6RY7JMcgY6kY/ofRLlPuamvO7se7BAP3qb+IAZc+RaMNeOR/gEnmKHHGSTC6Nev/7669dx5vX/LCdCH88R8jv84D1bJw720Gq7Yys99rBPiAXWqwtrb8FwZn+cUzfw09aoA3ogf9TAKO+ffD4S7xZXIz7V+E0FCIZUDsChGIIyBquJiTVVcsAwgsfA0hECYnJxnt6NrUFuCO9zgKgPfdXQDZ7qx3r0YpzPnobdIzkjPtjqOnRwo6CDdue14F/5QDpwh+dovXTdNwL3IODecu/cw2tlLXuDmGaPmsDZP8gf7dVn5Jiou/sZHWnoi65iZW6La65yDYZgHJuHpT7WPnClPcIn5OPozyzTe88X9EBPMY/6q6M5lnt8QUGA7vH8yeuqe2TMcm+1hhhAPueZOiObMWzZi+GK/eiY9UQe9rKehk8Z05eV7vhh5XzEtr1FyO4CRIUFsVLYjTYzinU6BfCr5nyWxb2OY52JCHoaOkbZOrqSoa70Nq4BHBluOudijxOhjR/WIC+Oca1ucb3XUT9sw57RRnJNFVzO0YvdCNtI29evhwBxSQzM4uoZVhGv7JVR46GEpHSPnpWt7A/2GvxnbWsfOH9vjok6VHuTMXCKCfoIbKLce6+rg9VcSw6ziVnG/iifwLfKvWBHbqR5AMc8z7rsR2jRt8qpyMAn1Zpoa87l6EHxksc91F0be22KeZ316EBvW8Vwxf4qDpEXMUMuGEBbtUpHxlhT+YjxHBcVX8d2FyAeljh11ARxRsPayrjIczSfx90kBlmWqz6Rt9dWd97Tyz8GS5z3GkfqZHucQnB6bz8LTgNavugPj5isnLOXr/dVj23w6fZeCBBLxPpoo3NgE8Pug1kRfS8yxKhxqtzMk/1JHKpPnp/dj2wl/ldi271MX7XRfB7fyjHy9mDIhxr64rOMwT3YKPOIHt9VB8osP+a4Osono3ydx4k7dN4qIjyzsr6sRedZw5/QxA/y8GUc4zof7JEvurMmNouSGJvwWYlr+GzZr35RJjbnc62ic83M/5kPa7ClinP55X53AQI4WwDNDIoK5E0e57gezVfjBBcOwXg+BI7NAPQ+9tCaQB0nkPaA6Dp6HIx+exp45uDNmy3zW8FYu/PGy7z6/nUQ4AAjNvMBhwXMkTBMrMY2sfKoRuyii8U4Mit5zG/ljazjzNYqkeb13Fe5ItKN5qvxWY6RZ7XnsGOm7y3YKO+onhyY8yC80TuPoy+HcG4zGyNthW2cH+W+ahxexjzxBda5VYdodfjndaN79KhifETPOPQVjmAWdV7FUFkz+5GZ9az4V3TyN4d4T4//GY96x3n4gdFK21WAuJFQYNZQbkWBrUB0Pj/pOU6PTrHYIEmwOWKyi/RZ7+wQ+I2SaF5b3cMPeatNTPOBAsbwGrVZ0LjGpzGSYrf3QIBkyqdqxASxa8Gp/7f2a8VrZczYJbEavx7AcU/Ki325khekH9mqXSv7bLb3keP8vTlGnbEv71vHZvruxUZ5R/TECzpXPmM8+sz8mGPwSJ+IF7Jic5wxdDbOudePVaxXuZKx7Kcoa3aNHqzf05CV8zA+jzjuwXDF/sru7E9sqOi0LdPr/5n95IJZgSJv+vEJF6n+urZqzJs1kgrijCbSo2gOmhh4zFeVI+M0Ag9HxgY4ccwNZpKMtBlgZLFWmVGXuG50Db9Zosnr3DhxDTLRIRZReR32x8SQ571Hnxjkjnf/eggYKzHxagWxnWOPOGJsdS/Ka7U3H8Q4VMcYz/JTx0p/aezlU9Fa5KzuTfbKo3OMesdDkjHyIfsYP2DLSOc92CjrqJ5cN8o16B39C47kJse050ifeIbkfI2O5jLkm6PFAV3zGHP5gIUvNvChaYN8tnpkzw7gvF574p4Qr2psRZ8V+7Pd6JX9yVhFpw2ZHnzBTZxHuoXPfqwAACAASURBVLLncsElz9jvKkAIPhSqkoJM924kgNRInIHS0bnyg4556Q1OxlhPYHLNeJVwCF5BU1d6xgGUtfBgPT3jXOfEFddW1+gCr9WmPepPUkc2NhC4VTOgR/NxDVjCq9vrIzBLFMSPCVVL3Ruz/SrtLT2xm2PLomS0B9BxZU/NbDUJrursHqNHr0flGPTRfmSRP7BDPyAXP438sYrNqt2rdPgQfauG/uZHcMcmchzXrNGXR/sEfuiFPPADN+7NeciO54b34J+b5xZz0MEbX7CeMXjvafAAl9WmLGNBXRmPbQ+G8qAHH++1n8IAv4GZ8ea5gR4WDsxBA61jUadbz8dVW3YVICiO02bNTTejyXOugT9OyUAYJMxjGIDboGUNQcQ8H/jlxhhAZ944hbV85MsYfHDq3sY6N8nKWuixKWLAhjFoKh7Qs26luflm/Fb4NM25COA/9l4V22jGHHERG74nsTyqGbuRv/GW95k0zLMPZ23LVnjw2dPi/npUjlEf8gbY0IsD+pJjZrlhBRtlHNWTW4kdc1/mW+VH8MM+DzvWPMInykEW/GMO41qcmY/5O9uAD8yZ7h/GWMO4PsrrRvfwQJ/Vhp7gqD0jXfdguGU/vMBF7NDVe3pxqOiiXZX/GYMHdo0a/IkraGdtXk2klSQOBL9qQ/c9gfMMO8F05sisAw5dcazr4D1LMNJ1f20ESF74cZQsmYtxBB2xRbJ7VEMmesVGwTOTyUHHunh4xfVcb9ma6d/lfgWbo20lH+KPbo3AkQj4EJHzQ5axK/II1FcuQEjKvFKKiToD8sx7nTR6+si6QMehYvWa56t7k9pVbK507LFtBNh3xO6osTejjzlYKAYcGxUuI35b4xbCMXYtHOJYxQddZw8CW7ZWPN9lbAubo+0E61fO6Ufj0fyOQ2DlAWi5AHmng4ykfIVN52uqlcMBnXmy3HqllcPnnfyWbfukew6m/BVLtJ94puDA39AZW1wTO7MDP/JZvbbYQC4ykYGOW0888KeQmu2/LVtXdXxFui1sjrbpk7E+Gsvm9y0C5qRvR7+9+8gC5FsIzrvjkJi9rj5CM4obksws4R8hp3k8DgHflHHIjxqFKbHEh4KARjGA32dfd4z4bY2jCzKVEeVurYWWmKzaiq3VuncZm2FztI2+xZrF1dEym9/nIMDDz2ifi0KdBZwNvU9UHawBlBe57ALkRRw1UNO3WOzBd2jkEGKyevP3brbu9dcMm728tug/HestfHr+PgSM5dlb++UCRGaPeJq6z8xevYVAFyBbCF17nj2HD32zcW1tt7Uzl1T2vJut22h8SzHD5lvK++98qKz8cD/35vDpCKzE8u4CpIP19cKqC5BzfOYGBP+tD7SjJp932Xsze2ZzI3zeaXzFfmm2Yop5aEdNPu8SVyM7e/wcBFYK3C5AzvHNU6WSiPo3IE+F/FBh73ZQzOyZzR0K6kWZPdP+Z8q6KNyt1gMRoLDl7JkVuF2APNABV2HdBchVPHGbHu92UMzsmc3dht5rrXqm/c+U9VpeaG2PQKALkCNQfAMeXYCc40QTPPhvfaAdNfnMniRGa684PrNnNndFW47WacV+abZiinloR00+7xJXIzt7/BwEHlKA9I9Qz3HmPVJJRP0VzD0Inrt2ZSOfq+E+6bOD791s3YfMl7//nsozioKZH/bq3fSNQEZgZS8vfwXjD0pmFXVWoO/3I8D/soTjqv9FcT+3/1/RBcityF1jnRt55Y98na0x+YHP7H8Znv3571ey9RFYz7A5Wl4XIEcjus7PPE+8v2uzZpjZuFyAmBjOKED440QzI1YdiO5XfRNAQPKXLPmgI0WDSRy9+QNFs/+feoSBf9jpqnaP9O7x/yHgH5M7Y+/9T4u1Kw/Q2V9eJRb5M81VO8vWo3JMZdOesRk2e/is0H76//K8gtGjaNwn5PtHNPYRZ+aRD7J79SRfcY7Nzu6XKEA0ZC8A0uME/sTxLClKe2uvw29Zz1oScvxT29lmnLj334FBF9YRBK9weN2C3aesIVFRhL5Ci8Vzpa9FdjXH2Bm25v020u3R41vYHCnf3OCDzpG835UXD4EUq0c0is1H7Wl9S39Wc0/NHpyXCxCMILGc8STNBrlHLmsfWXyAjQ6/xdkUHiSeWK36dBL54Uh8MHNopI96dQGSkXmte2Pk6lpvxSgxTgzPvk46w9Z7c8wRflnB5gg58tBXnRtEZLvnLDkKL3L+Ubyy5vgWXfecFZnHvffsY/b6rM1n00qewGf/Imckx/BYKbK5OKTjWKTnmnk+ETRfjTJuYz7SzXiTWNAbmlmTpzTy3FonPfpsgS1t7tEvF0jcM54b43uKMQIcvSJ+mWffXx8B4hg/zvZPtIICFt/zeeQPx9kf6IYcYozCoopbddOOuMeds5dmy1Z4RBr3bByTpz068onyoXdcOvOBdCu8XUtf0cNLfpHWa+2e0Uh7VE9McVCsNnTL+Glr5CFdHMvX0sCvavoE/lWLfhvRxHXqGeMDHfistnsKkCgfHXJeZizrkrHOelYYKoe1XNMiVvLY4i2dfaaXp/O5ByuKrFnbVYDAENBmDYN5rUShYsIkOXnPJssNw0ha0EjnIetclEuS4x4a+GkoY5k//GYbDBBdr3z0swDQgVnnfI+eUcc8P7p3Hb2NoIJX9ZSIvszlQHVt7rEDetZ1e10EiEP2SBUT0SroiGOfrui3kkBcv+eaGJQ/e5x9hI70o7bydmPLVuavlGOyrRZh4kEBiM7sQ3AatRVsRmtvHUfHmb/kG31tjsZObOMev6M/dPiG+1HcgQUymacHFz42eLLefFzhpgzWQwtNzKHysr/VJ663R97Mh9LlnjXo6N7UbumYF1fOMDCQpjq/yOeZlxg6FzEBG3HCR/BWXsVfvehZi6+Ux5lC4x4+o4Y8/DRr//P6jOqvOUHEgFEDOOZRGgBQ0KIAZaqDEEUjCMiJhik3ymSedfJmTpCkQxY6oFPV2AisQS+uafB1A2wl+8hTe+PYyjUyDBxws/CZyUZnMFlp2AN9t9dHgD2y5UuSAh9b3kuO39u7d+I+dQ+MYpM1xHrcsyM9ZrZeKcdk/d3PYEGjxx+M4zvzTF63B5u89p57H1BmPMhL5FoPHnXFNn1NHHggMY+PnMu8oYsHE/FgHJmzY/4TU/O4954lyEM/Mc/ypHd+1SeZD/foObKromcMeuJe+Yxx7z7FDvcE48jwPGStdkf+4BdzAbxZa/M+ylQP/QgtclgHhlXD98xrc8SacearVvmxovufxtVsGgMIhApWmv7mVgCisd8QhBuCB9AFAeXjOoELS77S60DHBdN7dYhOcI4evshWrmM4Njo3rvEanvETgzyOj2TLh0By82Ez+lQBJz099K6J49U1/oqbvaLpsddAwE09iin2Jf6GzmYsen9Ub7xnWcgf6cd+29pX6rdlK3TIQV7MFa7P/aNyTJRjcjZZO4eO2D3Lm3uwke8RvTl95DNkVPmGsZg3uQfjGA+VfsobHVz4sooRxsxjxl7Mk+BX8bzHJ9ji/rHnzOGc8d5+ZLdxXMVEFbfESj7XKhzBIuMtPtCjV96L6MBY9Js5A/qqjXyPPyySqnXyrXwS6XcVICiOARVwkSnXlbGZxnuVBVDWRYAiL+npK2CUKZ2B6n3ukZdBlMfIIfJQvj1BAzbex941VY8jI544DL1myUreFb84Bi90mvGK9H19fQSIzypBozkxuJK8jrCykuU+zvsXeYwR1/HQ2NJjZitr3auVvMxb3Y7OMVGO+SYfRuaFSBuvb8Emrr/3WkwqPqs5ZO+5UMlibJTb4jh4xXw7y9W3+gRdiBnl2oMV+897+1GOreSjf5WXLRpW9ojnBHw4w3LMySti436J2Fd0zo98j83gMNt36DTKU/Kn31WAsIAqayXJ6ZgobHYNgCiNYXww3lYBV/HPdPlefvQjcLEN3nubjtyzzkDMAVfZFvluzUtbBb9z3b8uAvg/F85YQzIi5p/RqgMHnUa5AZ1job2q48hW1q/uA2U9IsfIm57cmJMuexus4kEQ13B9KzaZz633M7+ZQ2eHjblvZqO6yc/73I98Wo1z6FuIVPsB3rf6JOvlPXrs2WPQj2IiFw1b2KiDPT5hDfyJsVgEVT6p+Fd08q/OD8+sLQw4w1m/1XYXIJVSlRAU2FKSdRgUiw2cAqAxkVXAVQGZ6dS10q8C3rEVvTNP1+bx2b3JKQfiVhFU2V7JWS0Wq7U9dl0E2DPEQE66zy5A4j4hhpGfdUJX4jCPr6I7spX1V8gx0Y5qXzIGLlW7F5uK5y1j+i7mYfnknOp47Gd5NtJxvcUPvGLud33EFj3BzibP/CDHfFwn/cwn0ox61sa4H9E5PpJP7ObGPoF+pXHe2Iwj4kxcPI8inTi5jr6ic76idyzyld6eQgj71MXxqq93RkX51xhMMTRWW5nctwtVQGRaDMkVIk6IYxod11aOzXQzcPMcdsET4LRtBUB1kp/3K33WlzViN3tarGzP8vTTShWa1/b9ayCAb2OMsi9z3BCXj2hRFjr4pElM05RLPK/kgS0ds63ukxXe6BLzCbKOyjFR77wvySPIVXb0FeuOwibqcOs1BWJVJFY5Ktux50Fn5Dd5WszEhzLmiDdzGTibo7EX/47OpL0+2cIPfsb4Fi3zlfz4gKnd0HL25P07koG9ESP95JiY0Nuk8Z6+onM+0+M7dFd21N019Hsw2l2AIIBArapUlSA4VNKxUS8ABDHXrM2OYA5+JhsMZ1NDJ+CMYTh0AEVjjvsYrOoBPXPwhi9rWQdP7CMQlOeaWa8dM5o8p744OtoOtiPnwgMdWTNr+mDGZ7a+514PAWLWvcM1cWTSPtoa9ohxGPcO1+ypas8dqYPx7f6f8XZvPiLHRLlgbp5if4KRByq5BPlXbebKjKfYYRvX2ENcmWOxh1yMrauNGCF28CE84c2HRr6CPx8w4+O9uSyvB1f4Zd3hd7RPkL2VeyMO0BoTYAdO8MAm7OeaJv6r+waeFUbKNu7ElXFwUhfpxAf63MAeemxQV+MBevhlzJnHF/oq88z3NxUgKpGFy1xlvZ/1KKoxOINPdIK8nIMXoHkvwBUdtDhptDkAGD7Ma4t8mNvT2JDw2tNwLrbjYO3hfuY85LAuJoBKpnZVcz32vggQvyaMWRzdi4D7NsYreQHZ7qV7ZczWu09nNM6pKwnTfcZ6m7ycY3xPjpEPcjxg5M8Ychnn+srNPJR1NE+CT/S3dIxrr2OzHhyUBTZ5LfMR/yyTOIvzMX9nufA60ifIzfpmmfG+ko/+YAYGNs+PrbwuPTpol7yQRZMX43y4h957+hHd14nwH/1EL38wwG+VrhSje87OmwoQ9MMIALh6A/g9Fdmz7MF5FBIE455m0M3WwBPezzgIZnr0XCPQCLwWAhwsHPjdGoG9CHA27a0Jbi5AXumQo1iiartSozCiSNjTLFqqyjPyeZXiMOrc141AI3A+Ajzlkj982j1fo9bgFRCgHthbfGDXvhMwIcGhfovQxObht2wmvoqJr7weLnRDALih02rDwbzJoXCZNek6gcxQ6rlGoBFoBBqBsxG4qwDhkNv7nc+ZBvt91pk6KJvibbUggm70nZv86F/NH1H3vm4EGoFGoBH4LATuKkCAiq8DKEL69wbnBw5FympRc762rUEj0Ag0Ao3AJyNwdwECeBQhV/uNxac5la9eXuHrsE/zS9vbCDQCjUAjUCNwSAFSs+7RRqARaAQagUagEWgEagS6AKlx6dFGoBFoBBqBRqAReCACXYA8ENxm3Qg0Ao1AI9AINAI1Al2A1Lj0aCPQCDQCjUAj0Ag8EIEuQB4IbrNuBBqBRqARaAQagRqBLkBqXHq0EWgEGoFGoBFoBB6IQBcgDwS3WTcCjUAj0Ag0Ao1AjUAXIDUuPdoINAKNQCPQCDQCD0SgC5AHgtusG4FGoBFoBBqBRqBGoAuQGpcebQQagUagEWgEGoEHItAFyAPBHbHm383hT6f3v58zQujx4+2Dx2N8NQn8kxHsOz7dGoFG4HwEugB5og/412p/+umnL99///3f/dn/fgs6kZDpr9g4NPgc1a7og6Nsaz5zBPj3qr777ruv/3jmnHJtth8i1nBqqkZghEAXICNkHjBO8fHjjz/+fdiTwEiIZz6RXUGHGdRgxueodkUfHGXbp/CxaL7FXvx/VNHP3u1/ffoWL/SaRuD/EegC5EmR8Ntvv30tNuLTPIn07AIEfUjKUa8nQbIkhqfWo/6l5av6YAmIJvobAYvmvwd2XPzwww9fiIMjGvvmKF5H6NM8GoFXQ+AhBYjfr5MoOGRz47BjbvYbCOb5rB6MmVYdsux4rx6srZo6VDZA75MYdDNboP3555+/vv2Icn7//fd/FCVx/shr8UBX7Yn6z8bEaVWfTK8cZWQ+zmcc5UNv0yfirV0j3q6jP9sHUZdHXYuZ/MXJ+9yPsJdOfKMPnLNXJr5ZadJLqw4rPmQNcijc9zZsYZ2Y5Hir+KlbpuV+a0zsVu2q6LOMSsceawReFYH9uzhYysbiKSBuMJ5W428c4hM+iYevIHgKYR1zHApxPRuO9dDxgQbaUYMefvL1aZn70Tr1jnogx0ZhkHXIr1p//fXXv3WDD+szjfzo8zw6sA77H92QUfmEhCfG4EiLY+DAWn0FbfRV1pu10OoP6GnGRLV2hmOcUxb6iCV8kYdtfGaHJOtdJ6/sAzA46vW8Mh7Rozd2RzzdW9HPYDWLSZ7epc8xDO8cN/gzYmyssNYYAeNRuyU+Kl74aSanWsMY8Yyu2IC+Ofbzuhh/GZ8Yh66LY3tiE6zdI8YzWPmAgr2vEpti0X0jsILAOFssrGbDsUltbCI2qonRjW7SYo41NsZJJKyzkRDjIUACZVNWzfUmWeSy3gSl3LyWxBP1IBErg42PTtEuExEJgabc+PqV9eqR5UmPXvCHH3pit1jlNUfdqztyaREj7sWK3uYYNqkftoKLGEhrD53+dQ3rocfWiKdrxGWGIzz4xIYeyNK/+izGUaTnWlnYNvMBsRfjL/O5wn3ed/o0+ku/j/zFODiKITzgqy/AIO5l/WtRCQ7QQ2MzbryPvetZwzVtKz7i+ng9kxPp8jXxgfyIE7HJWG7Gi3gwz7q4x8Ev3kNzS2yKo3sUnuoadXuF2Mw49n0jMEPg5gKETcKGtJFU2HzVQQONCc9N5jo2FUnAxnVMENCPDhboog7w4J6kODpE1MPEq1x7ZMWk6jhjJgOTU9QLvjFZuY7ew4BraLAxJ65I7zW2k2xXPhlXeSgb/WzI1n6TOb3NsbgG/lXCdQ08scvDhXHGwK3Ck/kVHCsfo0fEHl7IyLGgbvTiwPWWD+AVbY98zr4G02yneyhij/7gFMei7rkIj3Pu5RzP3MPT2GE/4PMYe+6RyI/rW+JDHsRj/OjLOOa1a6oem3OMVvHF2pXYrPbD3thEb9bQ27gmBhmP2DJ/5dhU/+4bgVUEbipAPIzi5qg2UlSCBMSGyi2Pm+RIFMyNEqgJIidJEkpOMlFmlhfnuB4lpDxO0sceEkLWIfOENj45YhP3oyLJ9fBV7lY/0kFZ6AqPmOiQU/mtGoMWHuBXNTDP9oh1lhnXb+Go3XFNpUdFF9fs8QH6zmIo8n3mdbXvkD/CntgctQpDaUf+z+PsQWTDC3xjPpCX/UhH1s7ig/X61p69wzrvY6+8qmcNxUts8GJ91bZiE355P1Rj6lfJoGDLfhLnzJv1zF0xNivbeqwR2ELgnxXB1oovX74mGzZnbG6aUTLxMIpruK7GSWTwZ6Px8YkrrvUpKCY9n9yqjevaSp5z9KNkUY1jKwmEpEMiGxVLzOUn9i09ok5HXFOgmLij7yq/VWPoUCVXxkfF4Cy5R5tmOFa4V3pUdFHGXh/AbxZHkfezrvFb9B1y9VUuQLE300Y9Kwydlyd9bNU4MQ9OHKLwzHqw/t74iDpwrR55fHbvmipf5L0Z+bButMcrDKuxWWxWhRn6zIqMK8ZmxKyvG4FVBHYXIGxgNlkuCtzg9FXzwM2HtOOsYS7yRRaJjWSaW1znnGMjHaCTxjW5Z3NX8mISQa+YyLS9SmTYVCVmaBl/dAPPiLn2+xWDukfMqjH0rJIr4xW9Y8gbtRUcI+7yqfSo6KS/xQccpLNDQN7P6sEKu+P+QLY409scy0/7ztNXGDrvemMkjyvLnnkw9qCO8cac/CK9Y7P4UG7uXZvHZ/fIwZ+x4eMKU2hWYrPCsBqbxWamBzv0ZM2oXS02R3r2eCOwhcDuE5CnquqARhAbJx/CJiMSJ5stPyHBi8RFI7Hk15FsxDwGrQfp14V/PWXBCxkkD+U6b68eOblKP3uzYkJHdn66RG4eQ6bJkt6GrFFhJc1RPfhFzNXHMe+jftUY+uRkqY6ZHvuQSzwoR3xdQ7+CI3z4xFbpUdG5JuvH+IoP0F+fy+usfrTvsm3YBS0YMaetWW/2XN7H0UfYnuPZJ3N5IYO9ZnNPxjHmKh1X4kO+uZdfHp/dY2+MI/0fx+L6ldis4rAam8VmpgdzcoPYR59E/a4Um1Gvvm4E9iCwuwAh8NmcVTMB0ZMkSN5xg7OpWM+hxDxJgXuf6kwsjHMNHfO5qEG2P7JDFnTIcT1y4ZEToTpDG/WAvzLY8CRmPsjg473JINvpfS5qkOecNskv2q1ej+izrWIuNmBFEtR+dKjG0Bs61ucGLs5Bh0x8io34HN4zbMAI34mVtPAlGcNHfS0gkaE/mIMGWseijvLd6wMPg8jrrGvsw47csJc5bQMX/ec+EM+41r3iOveQOHPv4Rh9w7iN+WqfOG+PjrfEh+tzr+55fHYPRuiA/uCB3qN4gY8xQx/tF8sqDquxrdhUD2TgC/SjZ5zruC+jfVeKzahXXzcCexDYVYCw+djEbJZRY9OQBE2E+UAgKTrP5jLhwQ9ak6Y08Bs1kgN09MqBJxuYZDBq0LrWTR9pmYePOqCT/KFDZ9dDA48RJsyTLCIu2e4o++hr9Iq2oIuYg5E20nNfjaFTpKt8Qmxoq/y12aSdbdvCMerN9UiPii7KUi/14Z416hlp4zX0xPssliL9o6639l2FPX7e2gceeiM84AsP8csxDj7IYZ5P3IcZi0pH/cHcnmaMrq7Bz/ibdeo70xW+W7GpzfTYQavGtmITncA45hDtQ8dRu0psjvTr8UZgBYFdBQibiYTcbR0BnrxmiWSdU1PeisCtPuAQIt4pQM9sve/ORP+asq8Sm9dEp7V6FQR2VRNW+K9i3Nl6miTyk+PZen2S/Ht9QPHC0+mZrffdmehfV/YVYvO66LRmr4DArgKEp0FeYXZbQ8DXpPHrm7WVTXUUAvf6gMOf3wqc2XrfnYn+dWVfITavi05r9goILBcgfC9JIuyvE9bdyuF39tPzurbvSXmvDyi4ifuzWu+7s5C/vtyzY/P6CLWGV0dgObPyNQKJmITerRH4FAQouIl7CoEzWu+7M1B/DZlnx+ZroNRaXhmB5QLEV9n9e4Yru7N1OxoBk/xZcd/77miPvg+/s2PzfZBsS85CYLkA6WA/y0Ut90wEbi0A+H6eNycrn1lx0/vuTO9fW/atsXltq1q7T0KgC5BP8nbbuhsBvwKZFQm7me5Y0AXIDrA+jPTs2PwwuNvcByDQBcgDQG2W74PA2Um+C5D3iaWjLTk7No+2p/l9HgJdgHyez9viHQjcmuT7K5gdIDfpTQjcGps3CetFjcADEOgC5AGgNsv3QeDsJN9vQN4nlo625OzYPNqe5vd5CHQB8kSfkzD4dDsfAf5CKr6gn7Wzf+jXBcjMO7fP8ccB3Y9bMXC7lMeuPDs2H2tdc/8EBJYLEP7BKH7Rf88BupLw3xF0EgV/Npl/4ZIP12f9XYlXwxecjsSKg4evR/CB/eyv+55dAByx717N58/Ql5jiL9yS09ife5sFDP1Z7ezYPMvulvs+CCwXIBQPt25W4WI9m+aTWoUbBx+fPQ0+Zya7PboeSXsLVjP58KMIFEv9Q181k/yRRVAlZzSmfrcckiOerzzO24qjfCG2t/Bz7ShunoHx2bH5DBtbxnsjsFyAsEnvLSBI/p+WSHnKyn+O3X+ie09ogf2ZyW6PrkfSghWfIxqxB47xwKEQmWF79p+7PmLfHYHdVXhw6O4t3ke6Gw+j+dk4fkGPGEsz+kfMnR2bj7CpeX4WAssFCLCQqGevq6EhoXNQ8onfra6MQQ+dT6dbrqjos9zMY6SfdHHesdyTdLQnz8V7Dw9eo8fGE3guSuJ8dT07JCt6x6I90R/VvGO5X7XXddJ7rw70VXM++04+9DZx15YqBqTNPZiDfWx+xRFlxHkOmVf7x+gyRtGeeC120Fe+EX+xjmu9VtYIP+nsoY+06uD8Vn9vAaJNyCGXbRUz6hcxivEqbtVYlLVlF/OZXp7KyDyuEJtZp75vBPYgsKsAIeBnG/bXX3/9WqS4MTg0SRg0kn+8z2O+FeC7+a3fSLAhoY/f45MoPExIFlXjicc1fv+rftBzjY7qD20sHpDBAcZaaKDlM2ryi/NiFJNwnB9dI2dk12jNs+0FH7EDJw97fVUlUvFwHXbqkzinjTGO9sQM6yNv7tGnekOlLHpiYG+xGNcfcQ02fLaa/jZGsXcUZ/oEvtgY44s18mCeOTCI/iMWWaefoZnpCD1Yyxf5NO5n67LNxMYeetdrEzqzHl34GGvSxR6bpY8YmQciZnGMnMFa5ECDjRG7KIPrW/YN69Dp7NjMtvR9I7AHgfHpWXAhabChqsYGZ44kaGMDxg3OfLyHjjESgYmSzciYCUpesWfTsQZaGjyhZ3y0IS1OlENCgFZ96ZHrPHyZZ5Mrh3vk2kiqrBk16E2WJiXW7y0k4I+cPeuebW88zE222I4eYEgxkdtKzMBDDF0PFntjRllgiD/RB72IG/WVv72xWOkuzTP62b5TvvEL3jT973zs4Qd+2g02YGzsM0fsaRaNMQAAB4NJREFU2sSOdTawi29D2YPZT9K63r2PXNa7f5Qr/ayfyRmtUx42aTN8iCPxymstft378nAPqrv3rHcMHJST/ZLlQCfermH9bN/A4yqxme3p+0ZgDwLj07PgYlKLm04yk0xMUtB7wEPHhjcJuY6xuIZxNuQombnJow5cswZeJgz52/MUEpOq4/bMx4TKeN7krCdxRhkzntBqL/zRMa5Vdu7BEpviB9tIinGMa5NW5vFse7ETe6M+jGEzn6qtxAxxkGNhb8wg2wOFa2Iy+qbSTTpk7TkgR7zuGZ/tO/iCebYHnXM8S2ssVTopK8cpvJBh4xq/6G/o8z6WtvIhY8RFpaPr4J3jHXpiO4/PfKTu6gp/YhMc4phy6Y0X8LCxRjnIZz29zbG4BlygY23VGAfLqAdjs30DHwsb9al491gjcHUEdhUgGJMTXTSQjc5mY/PEwkOaaiNWY1XCkgcHfj7Q3PijTc7aSo48Z/NxHZsd+xnD1pykIz8TT0xGHnxbSYNELgb2yCTxem8/4hX1jnp5PZqP43vsBRcwiQ1/wC8m6TjP9VbMaGdcF3V0vKJzTjngZyPhc591dt41Odbi/DOvZ/vOw3IWj+rqXhn5RJ9Jb5/HPQDVKx6grqEnhvBXzgf4i7Wjda7Vr/b4g3Xe24+KH/hAn/0M/cy3xge6IyPjVeFYjSG/ilfGaZVuYp1l/rXka4c9M/0jbV83AldFYHcBQuDHRJ4NY9NQJLDpoIsJptqI1ZhJJfPmvtqwJBPGo6y8tpITaUbzeRwZJAg2P3M5scrTJ8msU+Yn/VbPullCyuu35Izm8/iKvaNDBv/jy602i5kqFrKO8K/oolx0yYeUiT7SxWtiisP9Cm2277B9tiej/mANfqNYGmFSjVPwoBc48amK4ao4IqYqH0Y9R9fosRJTrtfevE/BC923GuugRd9IL9+IYzUG/5Gt9+ybK8XmFoY93wiMENhdgPhkn5MN4/EJzM0Yk361Eaux2WGS6UlmbMatpJTXZUCYj7o6H9fFZINcCy2uc4NXfkK5J/GiR5Sf5eX7qHee4/5Ie/V11M8xDoxRW4mZKhYq2yo65Yp7PoTwEbyqBi1xVfm2on/02GjfIXdme9ZLv0RfRRoLjWy349AyF/c/uhHrVREU1ynHsZEO0lU9a7f2elxX2evYrLjEvoiBOvtGUx7RhmoMXap4Zbyidwx5o3a12Bzp2eONwBYCdfbdWMWTQHwagJwNk8fYeHGs2ojV2CyhZnr4k/yUE5NGNINiISfISFt9teNbDJMtsmORZVKKY8qsbPBp0CQm7UqP7JjsttY8016TpvqBK/ZzgHvoR6zVfSVmKhxzDMCvolNO1o9x9BkdmvKbHQLyfmZPjBvnUW5le4W3a/BLLralJ9bBV7+5hr1DTNHAMxfX6JDHoHWPyAf+vlFg3yjX+a0efshabdn3yAPDuJ8qHZARMZCPY97T26ox5qp4ZTzTowdyt/YNNFeLTTHovhHYg8BNBQiJg00VD14TDT0by3sPWxMbm8cNX43Bkw1IMpMuGkTyYg4ZJEQSgoct1zmxutbNDi3X0KKLNqALcuM89zHhYzPysYkP13yqBq2JJOIR+VXrRmPwg89qe6a9+An9wA5cwFU8sRefGAdRf2NkFDPwxdfgGP2ErBhHWzGjHH2r7+CLnrmBHXNV/GXaZ95jJ7aLhbK1j5hGd/CO+EhnL724UxhDb8NnMXbBLWJVxRbz1d4Da3RGlnvO9ciFd7ZHPaoePlHXiiaO4UN00/es9UFA+VVsQldhoK7yiDZXY9qP/Nxu2TdXjc1sW983AisI3FSAwDgnAjamY2xeN7xKMOaHRETznt4xkydjcXPLhwMD3pE/Y9Ajf9bYvKyTt8nENfAh+TIPnTo5z73zyqsOKRMsvfQVP/mu9MirDsvZ2mfZiw4kWnTEXnEFL8aqBM+arZipYgF+fvRPRRdxUS/14Z416hlpuaboGemcaZ997x7Lch1fjbOIBQdnjmPGxDljBS3z7iXo9EXWi3t1o1cOPFm/N6aRw9o9rYpN4nQmn72DHDGIcW2+cY77agwdpRlhVOmmb6oYvHJs7vFJ0zYCIHBzAcJiNjCJqNu3CIAJT33droEAT7IcfiuNg4bPlVvvuyt753G6vUJsPs765vyOCNx1SvI0Q2XvU807AnSLTSQKcOl2PgK85aAY5Il2q/nGaovu7Pned2d74PnyXyU2n49MS3xlBO4qQF7Z8EfqzmvSva+JH6nPJ/PmdTYFSBfJnxwFbXsj0AhcEYEuQB7gFd5+VN/fPkBUs9xAgAKEryy6NQKNQCPQCFwLgS5AruWP1qYRaAQagUagEfgIBLoA+Qg3t5GNQCPQCDQCjcC1EOgC5Fr+aG0agUagEWgEGoGPQKALkI9wcxvZCDQCjUAj0AhcC4EuQK7lj9amEWgEGoFGoBH4CAS6APkIN7eRjUAj0Ag0Ao3AtRDoAuRa/mhtGoFGoBFoBBqBj0CgC5CPcHMb2Qg0Ao1AI9AIXAuBLkCu5Y/WphFoBBqBRqAR+AgEugD5CDe3kY1AI9AINAKNwLUQ+D8JZzKHkCRgtwAAAABJRU5ErkJggg==[/img][br][br]Ini berarti:[br][br]a = cos β[br]b = -sin β[br]c = sin β[br]d = cos β[br][br]Dengan demikian, matriks rotasi sebesar sudut β dan pusat rotasi O(0,0) adalah: [img]data:image/png;base64,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[/img][br][br][b][br]Rotasi pada sudut Negatif dapat disimbolkan dengan: [i]R[P(A,B),[/i][i] –α][/i] [/b][br][br]Artinya rotasi dengan pusat (0,0) dengan sudut putaran sebesar α dan searah jarum jam, nilai θ = –α[br][br][img]data:image/png;base64,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[/img][br][br]Ingat, sudut α dihitung berlawanan arah jarum jam, sebaliknya adalah –α (searah jarum jam).
B. Latihan Soal Rotasi Titik terhadap Titik Pusat O(0,0) dengan Sudut Positif
[b]Contoh 1a:[/b][br][br]Jika titik P(–3, 4) dirotasi dengan pusat O(0, 0) dan sudut [math]90^\circ[/math] berlawanan arah jarum jam maka[br]tentukanlah bayangan titik tersebut![br][br]Alternatif Penyelesaian:[br][img]data:image/png;base64,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[/img][br][br][br]Jadi, bayangan titik P adalah [math]P'\left(-4,-3\right)[/math][br][br][br][b]Contoh 1b: [br][br][/b]Jika titik K(1, 5) dirotasi dengan pusat O(0, 0) dan sudut [math]180^\circ[/math] berlawanan arah jarum jam maka tentukanlah bayangan titik tersebut![br][br]Alternatif Penyelesaian:[br][img]data:image/png;base64,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[/img][br][br]Jadi, bayangan titik K adalah [i]K’(1, [/i][i]–5)[/i] [br]
c. Latihan Soal Rotasi Titik terhadap titik pusat O(0,0) dengan sudut negatif
[b]Contoh 2a:[br][/b][br]Jika titik M(6, -8) dirotasi dengan pusat O(0, 0) dan sudut [math]-180^\circ[/math] searah jarum jam maka[br]tentukanlah bayangan titik tersebut![br][br]Alternatif Penyelesaian:[br][br][img]data:image/png;base64,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[/img][br]Jadi, bayangan titik M adalah [math]M'\left(-6,8\right)[/math][br][br][br][br][b]Contoh 2b[/b]:[br][br]Jika titik N(–4, 7) dirotasi dengan pusat O(0, 0) dan sudut 90[sup]0[/sup] searah jarum jam maka tentukanlah bayangan titik tersebut![br][br]Alternatif Penyelesaian:[br][img]data:image/png;base64,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[/img][br][br]Jadi, bayangan titik N adalah N'(–4, –7)
Applet Rotasi Garis terhadap titik pusat O(0,0) dengan sudut positif
Applet Rotasi Garis terhadap titik pusat O(0,0) dengan sudut negatif
Catatan:
Gunakan [b]Applet Rotasi Garis[/b] di atas untuk memahami konsep [b]Rotasi Garis[/b] dan membantumu menyelesaikan latihan soal di bawah ini.
a. Konsep Rotasi Garis terhadap titik pusat O(0,0) dengan sudut positif dan sudut negatif
Rotasi Garis dengan Titik Pusat P(a,b) pada sudut α dapat diselesaikan dengan menggunakan rumus berikut:[br][img]data:image/png;base64,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[/img]
b. Latihan Soal Rotasi Garis terhadap titik pusat O(0,0) dengan sudut positif
[b]Contoh 5a:[/b][br][br]Jika garis 2x – y + 5 = 0 dirotasi dengan pusat O (0,0) dan sudut 90[sup]o[/sup] berlawanan arah jarum jam maka tentukanlah bayangan garis tersebut! [br][br]Alternatif Penyelesaian: [br][br]Misalkan titik B (x, y) memenuhi persamaan 2x – y + 5 = 0 sehingga,[br][img]data:image/png;base64,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[/img][br][br][br]Selanjutnya substitusi pers. (1) dan (2) ke dalam persamaan 2x – y + 5 = 0. Sehingga diperoleh:[br][br][br]2x – y + 5 = 0[br][br]2(–x’) – y’+ 5 = 0[br][br]–2x’ – y’ + 5 = 0[br][br]–2x – y + 5 = 0 atau 2x + y – 5 = 0[br][br]Jadi bayangan garis 2x – y + 5 = 0 adalah 2x + y – 5 = 0[br][br][br][br][br][b]Contoh 5b:[/b][br][br]Jika garis x +7y = 3 dirotasi dengan pusat O (0,0) dan sudut 180[sup]o[/sup] berlawanan arah jarum jam maka tentukanlah bayangan garis tersebut! [br][br]Alternatif Penyelesaian: [br][br]Misalkan titik B (x, y) memenuhi persamaan x + 7y = 3 sehingga,[br][img]data:image/png;base64,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[/img][br][br][br]Selanjutnya substitusi pers. (1) dan (2) ke dalam persamaan x + 7y = 3. Sehingga diperoleh: [br][br]x + 7y = 3[br][br](–x’) + 7(–y’) = 3[br][br]–x’ – 7y’ = 3[br][br]–x – 7y = 3[br][br]Jadi bayangan garis –x – 7y = 3 adalah x + 7y = –3
c. Latihan Soal Rotasi Garis terhadap titik pusat O(0,0) dengan sudut negatif
[b]Contoh 6a:[/b][br][br]Jika garis x – 3y + 9 = 0 dirotasi dengan pusat O (0,0) dan sudut 270[sup]0[/sup] searah jarum jam maka tentukanlah bayangan garis tersebut! [br][br]Alternatif Penyelesaian: [br][br]Misalkan titik C (x, y) memenuhi persamaan x – 3y + 9 = 0 sehingga,[br][img]data:image/png;base64,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[/img][br][br][br]Selanjutnya substitusi pers. (1) dan (2) ke dalam persamaan x – 3y + 9 = 0. Sehingga diperoleh: [br][br]x – 3y + 9 = 0[br][br](y’) – 3(–x’) + 9 = 0[br][br]y’ + 3x’ + 9 = 0 atau x + 3y + 9 = 0[br][br]Jadi bayangan garis x – 3y + 9 = 0 adalah x + 3y + 9 = 0[br][br][br][br][b]Contoh 6b:[/b][br][br]Jika garis y = 5x – 10 dirotasi dengan pusat O (0,0) dan sudut 180[sup]0[/sup] searah jarum jam maka tentukanlah bayangan garis tersebut! [br][br]Alternatif Penyelesaian: [br][br]Misalkan titik H (x, y) memenuhi persamaan y = 5x – 10 sehingga,[br][img]data:image/png;base64,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[/img][br][br][br]Selanjutnya substitusi pers. (1) dan (2) ke dalam persamaan y = 5x – 10. Sehingga diperoleh: [br][br] y = 5x – 10[br][br]–y’= –5x’ – 10[br][br]–y = –5x – 10 atau y = 5x + 10[br][br]Jadi bayangan garis y = 5x – 10 adalah y = 5x + 10
1. Dilatasi terhadap titik pusat O(0,0)
Applet Dilatasi Titik terhadap titik pusat O(0,0)
Catatan:
Gunakan [b]Applet Dilatasi Titik[/b] di atas untuk memahami konsep [b]Dilatasi Titik[/b] dan membantumu menyelesaikan latihan soal di bawah ini.
a. Konsep Dilatasi Titik terhadap titik pusat O(0,0)
Dilatasi adalah perubahan titik suatu objek pada bidang geometri berdasarkan nilai faktor pengalinya. Pada transformasi jenis ini, ukuran bayangan bisa berbeda dengan ukuran bendanya. Namun, bisa juga ukuran bayangannya tetap. Namun, bentuknya tetap sama. Mengapa demikian? Hal itu karena adanya fakto pengali. Misalnya suatu objek diperbesar dengan faktor pengali = 2, maka bayangan objek tersebut memiliki ukuran dua kali lebih jauh dari jarak objek dan titik pusat mula-mula.[br][br]Faktor pengali pada Dilatasi[br]Faktor pengali merupakan faktor penentu letak dan ukuran suatu objek hasil dilatasi. Lalu, seperti apa hubungan antara dilatasi dan faktor pengali?[br]1. Faktor pengali lebih besar dari satu (k>1) akan mengakibatkan pembesaran ukuran objek dan searah dengan sudut dilatasi objek awalnya.[br]2. Faktor pengali antara 0 dan 1 (0<k<1) mengakibatkan pengecilan ukuran objek dan searah dengan sudut dilatasi awalnya.[br]3. Faktor pengali antara -1 dan 0 (-1<k<0) mengakibatkan pengecilan ukuran objek dan memiliki arah yang berlawanan dengan sudut dilatasinya[br]4. Faktor pengali sama dengan -1 (k=-1) tidak mengakibatkan perubahan ukuran objek, namun arahnya berlawanan dengan sudut dilatasi awalnya[br]5. Faktor pengali lebih kecil dari -1 (k<-1) mengakibatkan pembesaran ukuran objek dan memiliki arah berlawanan dengan sudut dilatasi awalnya.[br][br]Dilatasi Titik terhadap titik pusat (0,0)[br]Bentuk umum dilatasi titik A terhadap titik pusat (0,0) bisa dinyatakan sebagai berikut.[br]A(x,y) D[0,k] [math]\longrightarrow[/math] A'(x',y')[br]Bentuk penulisan di atas menunjukkan bahwa titik A yang berkoordinat (x,y) mengalami dilatasi terhadap titik pusat (0,0) dengan faktor pengali [i]k[/i], sehingga menghasilkan titik A' yang berkoordinat (x',y')[br][br]Nah, koordinat (x',y') kamu bisa tentukan menggunakan persamaan matriks seperti di bawah ini.[br][img]data:image/png;base64,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[/img]
Contoh Latihan Soal Dilatasi Titik terhadap titik pusat O(0,0)
Suatu Objek berbentuk persegipanjang PQRS berada di bidang koordinat kartesius, P(1,3), Q(4,3), R(1,2), dan S(4,2). Jika objek tersebut didilatasikan terhadap titik pusat (0,0) dengan k=2, tentukan bayangan yang terjadi![br][br]Pembahasan:[br][img]data:image/png;base64,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[/img][br]Dengan demikian P' = (2,6)[br][br][img]data:image/png;base64,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[/img][br]Dengan demikian 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BVw77At94gU6HrfUYi83E9deX7kqM7k5liML0eZ+mAuSVBvpeF5gGZaDRjzALfaaqtCKn2UYFowkHz22Wc3d999d2kwjUSJkFqNKJ8eDlkwcl6PpB4x5hFgBK5ZrXotBeVjRMZtLrvsstIGu+yyy4aJkHYnUMNxJBhJR6DHv+SSSwoJkiVst912Jb9Rcpgl+aiH8tADkQEPy2QYOSE9SXvzeHmGlg7Rk3YUEwRYw/+M3z3M2Bq7ozNbbrll0SfyHwfylgcPXBmvvPLKUhZLtw466KANw0rhAQ7KV1kiTQOD8kJy7EHdfEfWdEWdQ259sbLu0pQgnDBjxDgQ4DHHHFN6wBDQtBqjK9yXUpvJMlFjXIVi6WXbqBWbS//617++rBs0mXDPPfeU6+pzNPgsQ1l5OMaphGjbbLNNc9hhhxWSZ2T+r+sDcUzdGJfwBmFaA8eYeUbgf+3Lm5x1OQTUS2eNPHhVn/vc54pO0N3tt9++jLHpuH06T+dJb3g4zm/Lqg3you+77757c+yxxxYvmWeJZBFaV4T3bWgGoRgHfMlLXlK+G4NTntWyqxrq+bKXvawMsSgzmfGCybAv5ooENQSDiskEjWKwFnnoEfRYSNB5w9K0EQYeChK9lbLwfoZ5QK5h0K7X8yNCoQdvRziC5GvyXK7yTwuUEOkbrxGyqgdCG8crIR/tJoF6qruOgKJr40MPPbQoP3nOC9RL6MY7NkSiTXXalm+ZwEP25CQZc0OUYdQxETQK5EW+PCH5iYp4z4i2jbb+xG8JUQvTXUvuIpGddtqpdEruETpaX7dcGJa/Y8pBpjrWKJ/xYsMMg+o8LmaeBNtCYRTCBwoVoSbFCgMahhBikNYwxDlSG5FHjXb5NBAvRtl4LhpqGAlEXhoWaTJyPbAeXf1iYeqg+84SECADRILahoLqmNSJ8URHILURxyPpGLSxusvTd70/ucR4YLut6+tnBcqi3ckDsfHQ1AXB0Fmkp+MWdnoCA4kJl3UihnrC+xoG+ZODT94amdMR9zHeiHxrtPUU/EaAyhVrbJUHKet4AuoRMh8W1dT517/r4zVGHY/POgHd8J2joSNRRnLSyegw+2LmSbAGARhP4QVSLoLQm4Z3QAmGkQUBmnhYqoelFBHGtOH+bSWI+/mPMiE+SoSYEWLMZrYRRhL/uV6PjjyUVQ+HVChzlMc5swiEdfnllxfjE7aqP+IKDCMnxyMFyEQb6dnJWhpU90HXzhro5Y033th88IMfLG1oiMA4aT3Wq750BvkIY7V7RAFRt0F1DAIEZLr33nuX0Ji+8SjNzAfIjk6RY20fjsVYIOJVxkMOOaSE6xAy15G5zm/lXQrO04bswae6BIHF/8rStqVAnNdGdKocCwRIz9i/4SNy64uZJ0ECCWNAYrwDY04UjMExNsrgvGEJnK/H9BnHBoGQCTsavc5jkDLKLxSSclsKwmMxaI0IlVGe/q8TxPcgwghteJJBhJTIPfw3iExXG2SDsCyJUU7LKeqJoKjruFBHBkmxtTOPScdAnvMEhKKz1pHx7OkAoqMf9KuGutFjMjOmHEtAaj0NXYlU/wfhHZk48tCAseVah8lVGUKH5KEc7ErbaUMkHZNy9M/1cb9A/b1G+7zo4OWB8CIFGdIV5fHdsWH3C8R5cY76GkJiK0icU2Qs1TldMfMkCCqucmbTuL68I+EmIWiwcUBwhD6IBINkpfjP+X4jIQkImSdaX183mO9BYnoriq3Hcs82nFsnoJS8R6ERJWI86kyZ/I7zZgEhA8ZKCRm7svMktE3b0EdBXpGfT0Rg+RMS1NPvu+++G9oZuYQxSNFGPBq/ZwW8IERuvMp3RstLI6MgogDy4w1KJifMfKo70hgFsgrbAJ0Fb5CjgIDpKvlAfc9aTuRmra17uVbb0del7j0MyqKNlM0n/WCv2sixyJcu+x3DHsoadjYIcW1NcjoVDgf5chhEIn0mhWaeBAmLAiEwQtJLEqoG53G0SXAYUYTCaJhQDEBsJlrMbJptNilBAd0T8bivT8rpf0s2jJ9YRtCGeyA/5Ezh9fCS60dBmaPcFBBxanAzdZaK9GnY5UaUlxwYO2WP8SSy6wLtImkXCamquw7AWNcrX/nKkmd0QkgSuUgMSBmcWxvIakObIXJlDQIa1pk5rn4iBwaNwLS776NQE6DreXERbpMhh0E5hslF/nQfebj3fvvtV/SWDurEhtnSINB90A7aw+QO70w7SmxK3dXVuexQGS3tMRbqHG2rTpFXG8pVy4+Toc5szr2sJ3V9V8yFJxhAghqMoQgrhIg1CKfu8fyuG9J/GjfO0QgU1XrDCy64oPnoRz/afOhDHyqr5TUmIFxezqc+9anmnHPOac4999zmYx/7WCHCtsDdS/imYZB0lLEuQxvxX5SVV+B6PbL8hSmjesjVhvYgHwop1fLtAnV3nboyXJ+IlUGTBaNBDgbvjbG9//3vL+3gtzE01wwzntVAkDn9US8GLA2Sjbr7T4eu0/QbIdQhcehHJJAXUohOlq7xNLUDvUEw5CbvuAbiO6JCPoYfkJ8OzH/hJPSRp3JzJCyV+sQnPlHayQYMQm6OhHZlW/TG/+ztk5/8ZJnQ8f8wRF1DflFGMmNr8jUMEHar7OOWv7u2rgJURq+lYfWQDIMXyEtro1aSGnEsFBIoKEXQGxpDMYt30UUXFW+PwRGs//QwBrg1FK+HR0hxNES7l6WEXHSzmchsWHlqxDmSOtVjnerLGGYN2kT9yYc3RhE907pUXYfBdUhffbUz42XUkvYiZ/fRFhb0aiveu/vPonzUhX4FOatD7cW04Ti9Vl8diTqNInbnS/Q5iAF4RYZTyEvnNMibjDLw2JCRc4XiOm0InR5W1lEQwag3D5itsCWL562R5Ln7j+2wIc4Gm1JOxxBY1KvGoGPkq5zkhbzJCekLr+lll3B+5klQ5TUyZTfjpYLG3CyWbJNgW1A1amWSn9+I1GYLv/qrv1oWKx9wwAFFETWK3U80jHtqMMtXjjzyyObEE09sfuVXfqU8ojeocSi7cNZ51v11BUPRsMpIYYwL6iE1+jCDWA0oizIhK+1AdmYVyW9UO7QR+YBOh+Ho0XVOHrkjd6TAuHnJPCUD+G94wxuad7/73c3pp59e7h3bkc0S1I2hMkh11KbkE55bG84lA8RFrq53TRd5ikTotI6UJ4oU5AVtHfKfToeMnQ9kLHW9b0DHz07Y05ve9Kbm1a9+dbknp4KjoV15hddcc01pX+14yimnFHs2nBL3jTQM5Ki9JaTP7hC6OsnD8XHLPxeeIHCzeQKMQa+loWpEhUcJsFYAYLzCAAmxUgZ56yF5HHovQjXrRrE0qGQ5AqUh+PZ9/JYvZURmXRDlli9j5+ojQGNhGnaWQJZ6bkTNcE0IkaPjbTmPgvoGeTF+7Uz+8mBMZM8zZED+YyivetWryrZcsZsKOY3yslYbQfJLEUvIbhJPDDmYTCIXIFPtI8/IPxJvE0GSsXHs0Gfnxvl+D0rDoB1EQ+zDlnZshS4jP50bz5A8tJ/OSxt74suz/8rQxqh7QURO7FZd2Aub7YK5IUE9lsFPlWVsg7CUwGpEY2pojRJjecafKIdxDeN+FEOPxfMzS+m782KWr8s9x4H8KBIlRiyUJxp12veaBLwbg92ISdgWYVyXMKSGdmCw6opYyd1sJTkLe3VKOgNh91FHHVU6rJDVLMllmujT8bmGjcTYIlmSKx0POYmmtBl5Ig76TNdCnhBEPAmE19qLTSkHmxKyalOPVJr0MpGDLJWhPck5DuiJjtHEju8xUUafxsXckKBwOB470sjD0NUgnK/31DAaC/kgQTNrPB2hrRX9EGHFcpBfDWRSr4HSu0XPPCtgSMqmc+JpIEFKqIxdy+l8smWs2pnBkLGEAGNXHkbCg6ADZOR+YbSJJ0EeEXKHZ43w/A5SjXE7HjZdZ0/az3HnkS0PK86fBNqIp0ZfLGNBWGxKWyonO5pEr5VRXhGJuAfHoUuec0OCEQ4jq2GeYIBg2ynQFk78r0HkK8SKHknoHR6O8NtnO79pI/KnmJRFIyvzct6zD5AyAmRMgTCarmV1PiLl6QuZGIwOycC5bfmvuuqqQo7yr9vedbPWOaw2yIMstQuvWhshwWgTsnIOguQJ6ujpPv1GWDWmIVdkKjxnO0iXXktB1Np0GrpNLzgw6tt1+GhuSFCjCr8IEDn1wSgycVxDIdnwaoQQFAYIte5NlxvCGR5PlHdayjIt8BoYmc9QaOWLMpJ1O40Cw43JLwZqeMJvk1K8QPeKPLSJton28QlL3WMlQQ6IhVyUK8obZa7L6jdPWApvLK7tCvlGXmRKbuQZiPuzpyBBul57fs7REclrWBoX8mWz7qE8bKzWl2lAeZEgb1CdkH4XzA0JqiioKILwu0tjwKDzo1EpTYyTaKwYF+SdUJqVQpSHQlIcZVK2WQRD0Rbx5E4Y0iA5w7DjEIYbnZ26/+t//a/LWKz7IIe4ngH57fwgCt9H5b/SIIvYKIGuBrHQLUl5Q4cREQ/G8AK9c62hEDJFYKH74wCxIBnXahv6I7l36LF7Chlj0q2NuiMbF8qoXgH3A3XRpu4d3qA6ylsbOi45v2/70TkOg1BbHiHfcfObeRIkXEoi+U6oGrmvZ1QLRn6SfCibXlND6YXlT1E0mgaKRl0JRBmVK8o4i1BOciKzaI8+bQKGOywHorwGyT29YD87g+s8f16h8UHnUPJoJyTo3uMq/EpB2SyREgqGbMLYRRr0ONrXcXVCDuqKAHX28lCvOi0F93IdApRXtIlOJf6P8oh6Qr7kGPmPc5825FdD+7CpsCFQBstYkC85RAem/so0CdwvCJcsI+9xMPMkqLcIFzeE1aWCUDcq4ROST/kFyWgovbFxBT0KomWYjmtM10iuWW4MUkLHRqV5h/FeobC2tQmA5RPagpeJSMz4Wb/pHLpQG53vYdizAkSkHmZHkQ0oN6JTxyirtqOLoWN0D3m6hlG367VUWzvXdYitJsHIJ74jDWHqIBLsiyDaQHRsbElbImaTm6IrnR1bUnffp9F+rkeC8qtlvBRmngQ1DC+QgkBXAgyEN6XxNUpA/jxARogETdtTXkqoF4sFpxqLIZp9IuTlxKTKMI/w+JaNA5CAJwCQh3Eeyyfsvqz9tBEDCsLwSTcYk3adJbkhIrOiVhZYRK6svFkL8HXq0QGD/wwB+FR3a1JDR312qZdzkRF5SDFs4F6IRoIgvLAH18QxecR548I1tW1qH5679Z2xJpB3qxMLb55dsTmOhnL2hXKrnzzoQ9e8Zp4EoW6cqCxSiuPjwjUE75Ee65WQmvysZved4vI8GKBEObjuGo7xUWC/J2mwcVErftd6zhPIn+IiCCSHBHl+DIYhCg298IeBIQ9kwah5FB650vPLY9ag/XiDSNy6Rl6Q+iEG3iCoE12iW3QwSNMTEMb01L9r2ztfnmQiuVftREDYkdTOP347p9bBYXC+pE2EupwGtuQxUwRnSEMn4JPnyf44F84hD8nvSWxKOV2vE4l6dcHckKCKhlKosJ40GmwpRIMSDoF7NMumCZ4/NflhTSAlYYDcds/+WkVPifVa8fpIDbcS4fAg5QtlG4b4v51mHYwnOhhKjPxiPAxMLCBCIRsS9PwpIkGCOjO60NVrWQmEvsb7ROiT+pntjse7hMfqI8xHBqIQydIo44YwqB2Xat8gN4l86TYHoEac4zO80tC7YfkGwp4k50a7eNTUsiaz+TYmgRgXVSeTFyCasnOMdkSU7t/FngdB+enCuHWoMfMkqDIEpHIR8oQL30X5XecahmPdmR1j/tN/+k/Ne97znkKC1qVRQA3F6IQlFMiTCjZV4HUQtF7a/RPTAU/Oo1QMg6egHRBgKLFP7Wz9pk5IW/zlX/5lOd/TBoYtQvFnEUhcOc10izIYv52ffepYzzvvvPJ4pnDU2914veSg3l0MuQYPk47WSf70N0CmkRBkTYKj4Jz2ecjMLkxnnXVW84d/+IfNmWeeWY7z/iReLTkgQu3Llv7iL/6i7GMoLzbFNieBekQ91b+L7ObCEwyE8Ac1xFJwPkEhObOPvD1EF883Cn81FgFqLLvAvOIVryibhHqu0Wyl3jzWPK0kJjGIWQdZkumBBx7YnHbaaWU8TCcU9TVE4bcNKYSVHrQ3xoRYLEFhPM6d1JNYTvBi6ZC3wnlcTFmNf/KaeC/qYyMIj2S2N4Loo+v0vL5u2PX18Ti/LcM4HqkN9xLqi6J48GxEPSQEGB49b9C4IKLX1vHd44/GftV5UP5doCxSV8z8e4cpiYFTIakQyFvH4tndrtDABB0zZwxJY8WOuiFEhiV/hKhRGZ7zjNlMo7FGIZRN72x8RdiOrN0//uuC5SqrUM6gt7E8cmXkOpjoIIbdt308whidkjWBwkdtQfbIQn6MxDEpdv7RLtpIezlP8n256tsFQSTKEt4X2ZiJlYzRkZ82Vh+E4LUEzqF7XerQPte9ydNEk3FG8kNGbMZ35wuPtZuhHp4475Nso0Op0c5/0G9JZ+WTU8FhMLbJ+wuwN7/Zj4lH+kxnEKe2nhTCcfpoWEEIzolpl3UY5soTnAQaV+PzOpCanvc1r3lN8QIZmYYgtFACxxCuHUt4g2FwK4lxG3GewfAYKcVlOEGkyCMSOTBiY2s8Qp5heBjRXrNCgAHlRnIIKUCnhH50yjZTb33rW8uuRDo55Z+1OiyFkL02Q2y2xOLt+q4NdUzgvIiw/G/XGI6HNiSferwyOo2VxMKQIGgIjaM30gAMsO6F2kqIMJGfXsx50egrgZpw3Xc1lGMloJ48BEMR4WWrr1S3h/+coz3ieW5wjrap5TULUB66FnrD2NWFLgkdEQdSpGPqgjBWUr+WgrLWtjAI8b9PtqQdtQ+vMNqlDXWW2J96k5EUWOqey4GFIkHCro0ljG2Y8oUSw6AGTUyOYcbmGJnX//mu/drn+90+tpqI8kihb8P0zDk6uPCaVhvDbAH8p6xSnFfXK9rL75rY4v82Qj4+A/X3lcLCkCDhtgUcx4YJ3vFopEHGl5g+eAfSMHk7LtWI9pkl1OQQ3o5yDiIE/6nzvOlXXRdljzrG71GYpbouDAkCwfcRflw3Sw3XRl3GOs0botzDSG1UnWa1vlGnKF+bPCZJs4C6LO2yqWt8n1UsFAkm5gNtQ0rMBvq0yzy0Y5LgHGHWlSmRmEckCc4RBo0nJRKJyZAkmPg5INsk3MSiIEkw8XMYlwTr8Hwexn4SiUFIEpwjBDkNSvHo2DRgZjbyHYaYvW2TX5Lhkwg5DEuJ2UGS4BqBRwJtE2ZbJjuU2M+ta/JAvx0+bINkeyvPlSYSax1JgnOEYR6E4/Z0Q162Mnr7299eno3umuzi4vO3f/u3m0suuaQ8YD/KG0wk1gKSBOcMg0Iq3z276dlau5TYtsiGA12SXVxcZysnz7baHil2Bkkk1jKSBOccQVIeSEdg9qazU8dJJ53UKdmd5fjjj2+OO+64slWV3U483D8MsaFDe+xwqbHERGLWkCS4BoB0PHuKBG0E+8u//MvNW97ylk7pzW9+cwmFf+VXfqV5wxveULY64hGOQpJfYi0gSXCOEWGxZAcP4SuP0HZNQuMuidcX71ixHVJssCnVu4YkEmsNSYIziiC3LuRjiYy34Xn/hp12uya78noHi+tNtJhxDgJMElwbiHbMju2nSBKcE1iXhxTbCIJCWl4Y5SVSn/rUp5qzzz67U/rIRz5SXj4lffrTny6vJI0Xhbf39UvMJ4L0avJLIkwSnGkM2k4qPMRIQJG9ztHrC71nwSsPvcGsS/IOF299i1cm8grjnb7yTxJMrFUkCc4oupKO840JGt+zdXu8mGjcZCzQuKAt0iVjglC/IyORWIt4yrpefqb9YR6Ol1X/1//6X5srr7yyeec731legGRN21pGvKhbfS1dsQC69v4C0Xw8NoTlOi+u6dOscY3wN97jEdukt+/rHcCf/exni9doLPKMM84ory0N8hxG4sOOJ6YDekAHLr/88vKmQhNlXvPJZrSN6MLQiXbj+XvpvRUBXn2pA3U99G2n1Wrfq6++uujjbbfd1px66qllxcOgSGoQ0hOcA4RiDgKlkxAXJefNeY2hmd6uKV4JyTM0wxxbvq+WYieWH4PaNtq8T5pHJAkmEguE8PZ9Rlp0JAnOMOa1Z03MJiKiSOL7WSQJzigivAiFTUKcL9SeVqTEbCJJcBlB8fW+g4xg1DjfIsLkigmdvphFooky1R5Y7Pv4xBNPlBRljnOHpcTyIUlwmUDxGbWnLnyauaX88V9tAImmyOPv//7v1/9aGm3S7DsjvpxQHuUMEqQD6vmTn/ykzND+8Ic/LMcTq4skwWUAJb/lllvKRqWWuVB4MIMLpu4tXcgQ96cdAtlYohHQeXiEj/zI0XIOyzq+/vWvl+U5SC+W7yCbGD6YNWhrdbThrbJbwuGJnA9+8IPNOeec0zz66KPlfyk7xdVBkuAUwTAlRmpNo3VL1157bXn6wtotSEX/efCWEFp0EjwkjwB6esWTLF/+8pebe+65p7n99ttL5+I7UgmQ6bhrwlYSQcwI7gc/+EF5PhsJnn/++c1ll11W6sX7VX7nJFYHSYJTAkXmvXjUjLJ7fvfDH/5w89d//dfNnXfeWR5pg/T+fhbkgQARoUSGnlv+zGc+05x11lmFBHUs1ixaNH/FFVc0F1xwQfEKPdvsv7h21joYxCxFmyN3jzVed9115fcBBxxQntQJbzGxOkgSnBIousfWGCul1sPz/ig3Dyc8lfQEfx5kQ0YIjQd4/fXXl3edvPzlL2+OPPLI5qCDDmoOPPDA8uTDHnvsUUJIZKiD4WG5NhZ2zwrqsiifBewbb7xx+a2eHm3cdtttN5TbZ2J1sFAkWBOQ70sRUpwz7FzH6h6cIkvIkOIb96P4sT8fDMon8SSMpQp1eX8PPPBAs++++xYC3HXXXZvtttuu2XPPPQsJGkN0zoUXXli8wy4TKiuNaG+PIQJPF+l7KmeLLbYoegKIUApda+tJfbxOs4BB5ZLYhuR7jfbvYajzirQcWBgSJEDGEzBTp0ceJVj/xXmuDcJzXPgVz+oG4v8gQOTHAxDy+A2z5K3MCsiEfO2FyAOMbbxe+MIXFrIIeetIyNKnc40RSojQ+XWHNCtQdsTHY7VPo7IiQbrhEcfoHGvdqlcSzIu+KLc61Km2nTacPwz+G/X/tLEwJEiZQuGAIhqLGqRk0Qj+86kx60Zx3PUSz0+Dx/+Oee5WqOMFRnZk8dKiCHfmRalXEmTy+OOPl9lTpEaeO+ywQ/GiYwYYyJYs995777KBBmIxweA1o+Q7S7KlD4zfpzoYK/Ya00ceeaTZfvvti27QR3UFdYtP5/sMEql1b5ahvNqAEyDF8FCM+YadOEcaVC/H2qnGsOOTYKHC4RqULBQPNBClrT2+2qjCyNqNoIF9p6zyCy9wxx13bF7ykpeUHl8oFGFP4mcRBmEZEU/pwQcfLERnPDBCyBr+ExbbsYaH5TWjltJoh7q9Vht0gh4pE70Q6pvRVk87tmy55ZalzOH1xfmhV75L8d8sI+QedW1DPYYRev27lsFK1nlhSJBQa5JrG4yw1uwdjyR6NAhS8+mYHl1igNG40ev5X2K8O+20UyFBRhvbUiWGA0nw7Izv2dFGJzKIBLWFN+HZ7abugGbNY0IGyuqTjtAXOqaMXm+qjvV/kdQ/Zr3pUujVrCPKGoh2UWd1Yiv+r0nSNc5zjvZ3/mpgoTxBQmc40RDW8wm/DLB/4hOfKLON9iUzQ4kswbl6Y795HV5KftFFF5UQDPkNIjfXCOWMXxkTnEaoNksGPk0wDrK1rMiyFx0RefGgo+Opk/ZDIAiG4SCMxx57rMwYr5YRDUKQgLrpWO+///5C8ur1ghe8oHSOOtN77723zHR/7GMfK8uqLP+xxpSuqRddmlR3aoyjR311TVtqBzbFTtRHUj8TXeGABLSfNrccSlJn7cneJqmz8nepw1yQIEWQVMxnHxAqo6qv1wixJb3ZRsrnHR0G5vVe7heNQZFDYS121WD1pEgtdD0eQ+UJ6vXrHrIPujbqSqAuDxm1lTbKXKdBx4FhWFCOKHhDiG5Yx6H9tKNzwtPQhiZKGM+sQN3Uyyc9oy9IkAe72WablXFjpIA0TAZdeumlZSH1V7/61RLe6wzIImQ0LpxPDhFGkyN5xX9RJrL1KYVMA4PkPg7kpa7aQj2sh0TqNndlY2yK5xvnIjyrARCm+rO78Jb7IOqtjjXZLoWZJ0ENYgBZIxGO330bqX2dmUcTGJZgWLel8axR02AUVAKKpPEorFX+BuORpoFuvTljVLYQPAXfZZddmv3226+8v9fvPoj6wiwZeA3tQj5Iaal2Gabc8jBWZtJACKzTGKbEkYf2cI5PhqcdZklGiIXeSsrMO1LGCOU9IqieZogZPt3TcdIXy4IMB/gvdGtckAm9DfnQvQjLawTpkZkyar9AX/tyD3UwqbXzzjuXcrCTL33pS8UT5Nkql/pECpuSfHfvPvePepOle3TBzJNgKJNGUtFg+hBiF7SFK1/hqjVoEuVkjLy+dmgljNl///2bk046qYS5whmfjJZCKVeUyX0Qg3PMDtcKNi54AYwb+irlciPaQ1JGde9qtEB+6mp4wmcY8LB8Qs7O4U3ojEyokNmsQPnIhWHy6hi43/EOFzphosTwC6Lywnsvzjfps80222wgyq66w15c4748L6CLCDeIL+SHMOg6uSnbpJAnwlV2RIjITQDJ331ibJCuKCeS32uvvcrrI0x0sZeAcyLVaB8PPfCbPbNT8uwit7kgQYLVkL4zMg2s4pNCfgS2+eablzVpCFHeDNEnAQeUAVHqpSmpha5IkGLJB8JwIymzhmk35DigoDwHiPxnEQiLkkfdo11qZa1TG3GcvBGavMJbGIb4z6freBi8yK4ewHIDsSA/XpC2ZJiITXtGyKjTpVeIACFY+uMcehO6RT6j5NGG84PgXOe3fCL5LW/yQkyh73FtX8R9lN24J2JTH3JQf+1bAzGLxDgXSFNk5vquUMdoexEd+XWpx8yToMoQarA7pdFo0+i5AhojwgZGzBApUe0Nup9GpCxCXQ0cgq4VNEjAsThe/z8u1JEH4R4UtkujrgSUR3uQEWOLNumjxGQmP9eG3PyetTp3BfkgOptoAM9H5IAAr7nmmrIzzutf//rmhBNO+JmnR2rUejQOtIG20CbGIMnWMTodMnafWLGAPKLzCbn3Qbu95CV/dhW6zHbDPgLszDH2xBFx/iA5jIL6IVn3iHW5XTAXJEiZNBqSCre6q6CGIZRMfvJHuBpLiOW+oJEoiQFrScjCzSd8pEiRBhl/5N0VrnG/6DlDeWcJykNe6s7YlFW5dSijyhrGEsk1iJTimjBwrUT29Xlxbfwfv+kFr8MkFKObNTz00ENlBhTUkdFbXWASCCnyftpGS6/6gkzochCQ0NR9Qpf9T8d5TI5HG/YZxqjRvlYZRErqJ28khQzr8xxHXPRH2yOwPnAv0YB1pupJB7tg5kkQKL1Yn0DD6whDmAYoAeFxoy1tQUDGa6LBNJaG0oMjYGsAhdCOU1jntQ10EiBdSqNh5Uuhfc4SyMsgOJmpP1kot3KOSoPgOgZgJh0hqK/8yXLQNSFv5zmfBxFPYMwS6IZw2JMwyqxOdDdmgXWgUUcyiM6WLGuMkt0wyJc8EBGdrp0GckOAjiOMCInZwSRQ/hruYYhJvvKv7xE2ZRzY/ZGgsg5r82EgV3IO+6SPyL8L5oIECYWQuMwRDvdRjGHQMBQGyWoIShKKARpXj+63csRiV71ohBVRnrpMfcoXhKJB9WyUV9m6KsdyQ911Bh4BIwsyUPZIXUC+PBZ58VAirzBc9a7zRBRA9hSeoQknXTcrUF7GyUPm7SA87erTf4jRZrGhy+C/IJLoVLpC3uQjX/nRHeRb5+V+yIL8nI9AlJGXOgnqNgL30DbuLW9J2ZRL+awNtbwJEXMq2J/ydtFz95Qvp4Ed6xDZcBfMBQmqKGEKQXloeo84Pg1QEg0haTBKYaCdIkq8T+vYAAlSnrqh4rtPqSas+rxxoE7uiewZkIFlxDBrUEfyorQ+KSDZhQzGhXPlIaS1fERbqDsPSv3DeCNfRmQJk5eGkxVPkHwk184KlN3yEGUFj8rZP/Dggw8uXiv50ePwhBAmOepcfNaeWyBkUKc2tIMOlA7xxCT66n41/OYJSrHUy72nCfnx8OP+Ya8+1ZlHrA4mhBAmGWjfLnbtGvoSMnQ/eXXBXJAgQ0CCPDAVRoSIKQxkEmgEHgSPQtJYFIJy6rGCAPVcDI7HMsjY2opZf+8CCqAx9W6+mznUS84a1I0cJO0QC3z7gMEjMfVEAGRvyUt4ULXxaAfjadEpaROGHG03K2CUFkHz+JC8cWSzoLvtttuGeiJKZE+n1U35yTU+++gPEvHEE71FCOSKhNqQtyEm/2s7Hb8ygbJ0sS3nRxvVQIJxf/mRCXJWZ50DO+P9mSF2b+cMy2sY2ApvUl7sOIZoumCuSFA4DIxEwxHotMCFJkCKQQmREAN0H0rF2Hgrzlluj0O9NC7jMRPNc5hFkBNZICYzoOTUFRSerOVF9pL29YQFjyY6A/8DQ3Ifik/pESA5zRqU26OVysnQDznkkBLuKyvCZvTaWcSBsJASApMc70JCNZCBWWfDN3SWXg/z8JRLZMMTREz0nd65t8+uaJO2+/JEdXI6NPdBth5I8OoJe0MaUvG/e2pP10RbjwNlNmxEhuorWkSCZDgumc4FCRKK3kSjSQzBeAKFmRYIM3pfIYVGs76LgCk0LzTWcHVppK4Iw+Dtqh+lGBQarTbISbkYkXEYA/3hnXVBtK18GIQFwzo8++5R7NoTBDJhTLwoCn/aaaeVJ3PaBrhaUFaJDiFA5UR49JaRqqtFxOpLj4WEdNn5yF9S70FGHHnXqY3QH50Dr9NnjfoauowklZG+ISjlgD46N6wN4rj7mClXRk9pxS5L4H7j2FW7ztHZgKgpOkR5jasTc0GCQJEIDBnpNRAUobaFMkw5hsG5GkUCvRHD0zMSrp5VCIwAuw64joN2ed07QkuNqFF96pm71GslwAuMRbEMiMyQVNdyqh+DlA+PySeC4M3Ik6ep/mSCaJGLUM++grbft3h9XIVfbqg7EtOGPFm/6a360WHtaWEwAqfHPF6PjAn/dbjkGG0dchwmz7rOzkEIZITQ3NN93HcYnIOMlQv58rC1n3z7dPTtNlAmdWFT7Eu5tKn7ajv3DtJyjuuH1RX8F3mCPMlaB6yDMbaok1H2LuWfGxIEYYRnKzUagrKEZJTQxkWMbUV4RZkopQ0TuPOHHnpo6cmXw9AYQvS+4N48HQ3MI9K46jur3iBFNqZD+Xgg0XGMC+2H8HwyWBMIhgCMm5lY4DkgPcpuLNAxHYXxtde97nWlvciPHGcFyMTmAbxZnjyPh3yAjpGXSSD1NWbo0TnhoQ0EED49jyGXcetFBkhGfgjNfXXctc62bcV4nXIoH8IWppJzHwwjHYSl7mwVWdFj5Qqd6UpY7EL7A1npFNkqRyWiCPfoYqszT4I182tYlSU8g8kaW88HzqMwku/DUhuEJemRIvREfBRDzxKLcCPfcRB51mkY/Bf5ugcC4UVQDGOBek1lGtcYVhLahdyMk5IThbz44ouLhz4u1L8meHl5qdJxxx1X2sEuI+eee25z9tlnFyPVSQh/ncPT0WYwbtssF9xfG2k3nwwVyem0jzrqqFKXMHhJRIPs6RbviyyRA/0m0zDk0B3516kNeSJf4TWCkUZ5geAa5whNffdWRGQYJDMu2joc9uq7etBhdTMMYLNc0UMg6heIOrdTjfgtSjCUICowJMNRic6jC+bCEyRgFecRURJC1fPpaS2VoER6CMLvSxaUgELyvCiQZ4QZm/VnoAx98x6FuoERIG8KmTBu5eDp9GnYlQB5KJthAuGNNrH2TZuEIY3TJuQOZMwo7UCCOBAI8hAiRmgpjESAjClCuYD/pZVC3K99T/rJwxLaC9e9MIpe1fD/4YcfXuqivjoRwwA6AfKgjxKMUy/yNuMqtEau9fhYYBChcCjIktyFqkiFvPtAW9MBtqjNlTlsVh3JweTQJMNK9A2xsnnlNSyGVNlpe/xzXDz1d9Zh/feZBEGGsQURMjIEyBvUC+hlNLj/nUt52o0dGHacay3skrcB5WOPPbaEZsjINe3rhuXTFZGPMmtQyyqE4e5tTZn6BUnAtO47DYRclI8SKr8to5Rdr4wMtF+cNwzxX7SdtnR9eA488kiMiRdFLtHOQRJxn1H3Wi7EfREB4lZ2rwilS8JO/ymvBI6Rk3PCq2XMdVsH1A3qekU+4J46CfvyeTm9HWnITVi9FKITE6oan0TWOheeVRcoIwJUxiBx7clGeWwmvTgW6ugeIa+uQICSKFCHa7iEHNVXmQfJainMPAmCCkWjEyyPScjF6ChTPDJFOITg3FoIIfBBgnG+FL0g4+KB8TjkI8/29cPyaiMaJD4hrotjfofCCGW+8IUvFOK1rkyPTkmjPuPcc6UQ5Yl2IX8erKRtYryp3RaDUMvH90jqrtNjVAwaqUY71/Lw6fzVkFNd9ri38im7doy2VYf4P85RF95LLJmp8wi4NlAfh/iNAI0rGktGBMccc0zxvkJOEOVs5xEwLovEtB+vUKemTPIYF+oa92SjxnB5p8qiU+DpxjhgHyB7kLdhEgnJikLYrM4niHhYPQehX2lWECpTNwTl0kDcfdDwBB2D69EIIYS2MLjqvL4IoX0ag9P4jssXqWosCkiobXQRsDJFqiEP+TsulDGgrR4UWhl4O2FEs44gKT0yz8csp7rwAJZCLZeQaz347Zg2HeQhQRBffEYeKw1tKUUZ2vUKvaxJzbGoG70OfauvjXzjP/C/7+TEIzIxIIJAXiYH2Ic86/OdW+cbUCayo3OeaAHOAALTmdXldX0Mb0RevrMhY7XuIZlcUSb5ICmz98J9OqK+oyBfKepcQzndi43cfffdxeY5K+xV3etydcFceII1NFr0qsbPYgzNWANPgTL5L85tQ6MY8wgjI0hutd7FjCS3XT4gr1DeNgYdG4Ro0EFl8p3SqIN3LOjZ9L6vfOUri1JGKD4PUE7llRCgOqsLmYZBLmUAIB/n1e1I+aVhcF6cG58rhfb9opxhzP5v69Cguvi/rqffYdQ+6SsZkqnf9MZvZGMIwhCKCY6jjz56gx3U943vdTnAb/9pN3mbxTXZiFx1xPLyP7gve4FoH+VwvqEkBOk7p0JUo+zIT0TA4x3VhjXcR93k5z4B17NTE0Bec8HzQ9xIVv7KGTJs13MU5pIEVZJhYX9C53loQGMNxpIGgWA11M0331zeI0J5hNPGFnmAxhURafRW7jNMkKP+G4QwhnbjKJMwXJnMqprep8Sx3b/z5wnaRGKwlFWPbbyJTKVBMht2LI7X30dh3POmifp+w+7fPj7sPIj/2v8jBHKtl5SEPus4dTr0nheOEJxb69qwfIFuRgclPGdHHAVtp83YlCGigHzlD9HOnlCJTpw+s0nXIj/RAbKqyWwUojzOV5ZAEKNxS0NGvFQOi6dO2IpzQzaD6jkKc0eCoMFUWsNzw62P4k0RXEwktIWuxxKeaTAbWjrftfIxEEx5ECGMEmQcH1fQzpPkGfBbo/JIzeYZzKbQZs/qtU7zBjLnUZB/7O9GcRmEthom1/axQefMMpQ30iiMe14gzqMr9LS+jkdGd6zL9N1MekxIdSECpBMel7bj+SE29hFkFjPW8pS35Do2xYYuv/zy8vIxOkxv6a/xPyTo2i66LF/1DaINqKPJGx6moSN5I30RE9kof5d615gvV6MCIWkwi2bN5BobNDjMy/Nd49QgXI1LmBIjNWBrITSX2nceYY0+Aq3h+lCc+K6BKZ2ejDdqdsuM9K/92q+VtXE8J+fPK3grZjoZpc7FW8QMNyB8RpN4UhfHBZ1BTj4DPDAhp+hBR2NMjEekE++jO5G3T16ViAiJGXeLFyDRW9Cp0V9APLxHdsMR8dt1JioQMvuM68aF8suzDQT78Y9/vHiC9OqII44oKwXIxn1r+XTFXHqCARUPdx15xHgBgtQ7+C96FL0RYZmi14NoKIpjzCLcaeeGEmk8yjpMuH2FLk8ELISxw7D77LPPPmU2WB3kO49eYA1yNEYTXoUBck9DxLrHQbJzLNJaRV23rvWM8xGOV1gKP00SWBpiKZVOnH7TJ/ozbv7Oi/Nd6xMJ8Sh5dMbbb7rpppJ3bVNxnWPCXUM41j3SY6RcnydNAo6C6I1nKgS2rMh4pQ5X3pM6DXNNggHCsDSAhxe9lkbTmNz56CmchwSFvgyS4gzqdYDXQrjDGrBPwyqX8ZaYfePe6zE1qgkESlUr8SCPoc99VwNkzZDAIDvvXA9O3gyni6HOIwbVrT7Wpe70gAemQ6Ezhk+EhAjBEAqPKAjQuaNIYdR9Xe9a7aNDZis8PCG3fKNz433FPeRnNtoSGKGp8Ldu3y71DLgXb5etsGfen/pyWDgMCLddhknwlHU37D6nPIMIwRnL8BwmpSA0Xh9PTwMuhVoU8X2YgPsInhLzAD2epIe1+JfyxFikMCPGZ6Z535UEuUlRTsbL8zUJ5X3NOiDDDwxMBzXvqHWmjfZ/dduN244hTx2JKIcMERQiiJUModtxP3kPy3/c+wboo077E5/4RPH42NOglRj1vSeFewp/TbJ4Z7G8OQkIX90R7DSxZkgwIFzQa+hBGKDxKR7IUiTYVQzjNnbki6CNiwkLXasxlSsmcsC5euPIe9A9pqFky4Woay1L5eVVWzsWS2cYEO/B7D6vYZbr1BdL6dO4dSavWBtHp3UodAcp+CS/QRiWfx9ZhweqHDwwoWgd7k4T5MaG1ddYOW+QjaivyG0cZ6Yr1hwJgioJvwiSsY0z29pVDOM2fuRLgWI5Dy9o2GNJlD4w6B7TVrppQl1HyREZCq8QojYRWgmPZ7lOfbGUPo1TZ3nQB6RAd0z2IQQeNH3miQ3DsPz7yFo5XIeQlEMnhgxrEoz69sm/hvqaNOQJuh8dEcm553JhTZIgECZPsD32NGy8pKsYxm3sOl/fo0zKMSiPtUyCgAhjlpgxD2uPecdSchinHUOewsPIr+35xTltDMu/i/7It32+ssR4+XKQoHw4DCInQILg+HLpypr1BOvG0HDIR6OtNAnWiHL5pEi+t0l6KfS570pBvQbJ0THkXstem/BkkgSHI+RZd+b0htz8jv8HYVj+4+qPfLVZtFvcT1niWIwJ1mUYN/+loJ7uFZGCeyyXrqw5DSSsulECg46tNIaVa1iZ5xGjjIDx+D+MCtZKvZcTtUx1HhIsp+zkrb18IqMgJb+jDX1frjJwWCLcj3suF9acJxjVqYVWV3GYMLuKoU+juIfrBt0r/lsKfe67Uoh6LSXLWgZRn1muVx+MI4OlII92Pm25DcOw/8eVcxDgIIQnKK92fuPmPw7a959m3jXW7JjgPKFuguVq6JVC1KWrAs97vZcDtQy7mukweY4rZ/cbdM/6mLza+c1jO67NAZk5QyjTPCpQYu1ikD62dbVNlF3JehaQJJhIJBYaSYKJZUHtMYTXkJg/9GnHYaH0rCJJMJFI/BwWqeNKEkwkEguNnB1OJGYY0zbPrh5e1/vPoweZnmAikVhoJAkmEomFRobDicQMY7XD4UVAkmBiqqBOEmOrDS7UzCNXUmwIkEY5Gm15hhyh/t7GMLm2j0ceS7VDlGEtIsPhxFTBWDxsj+jacMw2SfbHc84oI078LNoENC1CGtVeNZb6vy/cX97SaulDeoKJqYIy2wvOLiCxU0yAsdkZ2WaZtmq3n6CtkuJh/MTPg8zs7Eye5OU3eUkwTG5djtcUUP/vuJ1jbHJqM2Ab4doQeJrQKdKH2FrNu2liB5mV0okkwcRUgQQpNiWmzIzWjsh2k/b+F/8zZi/kie31kwSHg9fs1azkhiDssGxr+9hctQvZwThydi/Ep83szu61EDo07+zZcsst1581HdAN+esc3RMQrU5SPYPslxMZDieWBeERxvuVvRP6ve99b/PFL36xbM3u/RiMOsYGE4NBhl509IUvfKG8atN7N3Qsyyk39/R6ihtuuKE599xzm/POO69scT9tL5D/JRLQGfIGvdrzk5/8ZHm5knq23x2+XFgTr9xMzBZ4gAxUD4/07r333qLk3pDmPbnerxIeYGI0yAhJ8Kx5Zt5UiBx4hGTYHnII9PEEwwO8/fbbywvzveBdWx100EHlFbXKMS1EJwnqpi4RCnsZGQ9URKF+/nN8uZAkmOiFGEWpjcqxOE6JvV1Or25cyRvKvDLRp3CYEdSIfGLX5EH51vnDKIOeJ9T1atcJCSA8HpP3anvtps4FEQZpOCfktpSHOOo/HdXdd99d2oz36W2Iu+++e3k17KCX5itz3zZwLb1A8uqgfvECJ6/ajLFj+QdBDqpbrQ/QpzxJgoneQGSULhQvencey2233VbCKd+9Z/hVr3pVMSSKDHFNXB+/9f4Q58lT+MdgfJdii3nXhDfpOEQ+84Sol7oMKz8vTEiKDO65557mqquuKseMnSEPpEhmvKpRGJY/eXql51//9V833/zmN8uY7ete97ryylok5Lr2tUHecbxrGyhvEJu6I0D14X0iQBEEz1Q9vW6zlk980pe23Ma9fyBJMNELobg+wxD8Bu99psBeGM6T2GWXXcqrIgPObadAGAYy5RHwJr/yla+UvBg4IvDpHIhr2/nMInhwZCPcNOHBuNWjJkGo6xGyjf/JUf11DLxCXvVWW221wSOs5TEI7ePy18HceuutzSWXXFII1gvyX/GKV5RJEMTkmkH5BQlGuWPm2rm+G9cTUqvnIHKOPCN/yfXqEvXxvmPHtTtirusIIZ9A/b3GsOOQJJiYGAyUkknI6tJLLy0D63r1Aw88sBjTMA8llNOnfCwHQRSM0kD5zTffXMbBHnjggTK7zLPkmUSaVQRBIBjkpz7GukwSCTXJybt11RfirWpBIjUiLwSAUCS/edvkaulKjBFCLdM22seUz7uETVyZeJEXz32//fYrXuegPALKoM14kfJBfLxJxCWkvv/++0tYawgEmQ5D+x5koI6u0QHyCuX/ohe9qJB+wP2hff2wMg87niSYmBiMgDEw9jvuuKP54z/+43L8kEMOKRMhljoMA0V2PfCOKP1HP/rR5s/+7M+aCy64oAzQ85zMjl588cUlDBQa8QrMMLt+lKGuJpTLOJ5xtne+852lLn7rHMjpwgsvLN4uw9ZRILk2CfouxXEJQbgG2Rh7RTQvfelLy3F5BOp8Au1jwknETK48y7e85S1l7BapDrq+DW0nD23He7/mmmua97///c2f//mfFy9eXemAsg1DfR/tiUydrww6PVEFeW233XbFE0b2zksSTMwUjEkJpW655ZZiEAcffHBzxBFHFCOgfHpyGKSIlBmBIsDPfOYzxXicZ0mG8SGkx1NiHIyCR8jYHUcGCKL2RmcB6oucLrroouZjH/tYIYsjjzyyec1rXtPsuOOOzRZbbFEMncfEG2TYm266aamn+sCgusQxHiC58SZ53WTBc6vD11HXB3huZ599dmkz3p92QzTybhNyG/5TL+Qnn2uvvbYknjtyVqbtt9++2XPPPccmwRrKoE7qGGtMjSvHUp3ofOsOYqnyDsKT0k4kOoKCUsD4RGI8nrvuuqv0/GYUhS/GdkJZR0FI5qmEMJ6jjjqqOfHEE5uTTz65OeGEE5qjjz662W233YpRCAMvu+yy4nUYOFcG9/C5WlC/kIeEVJDB5ZdfXjxAEwyHHXZYCTUtFUI4+++/fzFgncfnPve54hXqTMKYI68aIUdyMNZKxjwxoacxuGGyjrzqMiJp3qR243UpnxlhRNy+7zAopzoEKccxv30OK8sohDfrep2FTkM9lVM9hceRb9RlEqQnmOgFiscDYAA+eXGIiaK+8Y1vLIbOUJ3nHIpNqdtwzDkIkEcjzD388MML8SEKZLrHHnsUEqH4PALG69zvfe97hRwNmvsvPILVAM8PAUUZlPOss84qM+SOvfWtby0eEc/V/0E06s3zRUYmOBg97xnUqc4zEvjkXfGMyeHhhx8unqRJDee3ZeFeyhjtAUj6uuuuK/Lce++9y3pAQxeuCxJbCs7hxWqDnXbaqVynIzPDrK6eMtGGSHYY2veJ31EHeiRfHYXvW2+9dal7EO8w3Wpj2DnpCSZ6I5RKzywM4v1QeMbMAKK3dt6wFBBOIQSGxJCFdZSc0gvPjJkhQxMtQmTKz3iD/HicdX4rDYaovMpi0sMkiAkeHrJjiA3xgTJL6iVEZtRxjfE5YT/Ic1S95Iv4hIeIkAx5xiH3QSA3+Rub5Hkiq5133nmDzLuibktlJYNRpOT+Ndrn1flJ6khOPEEdJIIVCaiD+0httPOINAxJgoneoFgMzpiWgWuEJaSirINmKocpIkXngQiDzSQybNdLcY2e3/jSPvvsU7wl/wkDw6hG5b8SUIcwSGEpjxjJKKNxrHr2NrwXx5G+EFQHwhtESoYGxoXJIR2EdkC4xs94j22QDYKS/I9MLF/Rdp4GIdNBhLIUusi9JsClrov/lYle0Q2yIk/jzmQ0iuy7IEkwMREYFEMSnuqtX/nKVxbCavf4o0CZhYqnnHJK6fV5FEilDYZq3SGSjQmAQQa/muChWAKjUyATRrz55psXT1C9ggDVDymSFQ9RPRCgaxg4UlwK8rKkBYkhQ94db9rwRBtBKJJ78VIRJjki0ZgMmTVEuclPB6uz5AmqpwhkGu2fJJjoBcrJiI19ffnLXy5hmN+UlNL6X4pzGdggIwsl56EwyJjtbYOyG/8SAhvb4h0wjNU2XPeP8BXUA6mb4FBOJBWhZsghoE7hzcqDJygcVkfHJHnV19SQn/uRuSEI3t2VV15Z5NS+1qd7uQ+SdC4gaJ638inPsHv1RX3/rlC/SMpHjkH2xlHVoT4nUlckCSZ6IZRNSGVSxMA4UqoVcRyl9H+EkpEGgYHykNyPB2AczCw04p1WWDQJogyID8kgHGC0MUveLqc6SSEn9QsvMI5Jo0BevElr6BAvL4mHpwzuR7aRj9/Kp8PiSfnOq45JhqXuNQpdru16H+eTH7IWFisvr9k4aHSYk5B3kmCiFygdr0L4ZuzL8hVhVXg2XUGZB3mA7hGhIQ/HvSi/2eLXvva1hXgZMwOfxBD6IgzUp7ojGMMDCMlxYSZvUNkGeVrIB5HzdHh0Ph2LzkC+S5EGUjC54XrkxkNSjlqe8pC3+/M0LYyOhdv+c+6kRAhR3shz0vxqyMuQiPDfuKt6TCP/JMFELzCmIB7GZzmLWc5aKf0XaRDaCjxIoRGJMTOkwMOxFEQIZ5AcEfpPORDMagNhIx9kzaNDiiZEdA7CfHWpPV3fg/zVHZnLQ/K9Ri3Ltkzl4z68Oh65CRIEV8uTjPyOMiJppIigkfA0CGvU9f6L1BeuFQFYdkPGZtTVU90mQZJgoheQDo9HooSWrQj9aiOfFKHcDJ7C8wJ9vuxlLysLaIVGDDnIZLWhvMgL+SEZhIP8YiKnjTYpuN41ZFuTYE14g6DuvEHhIjLkneswQiZRLpA/4vDbNcoWnuwsI2SlvEiQjHU0CH3SDjBJMNELjCh2CRF+UUpGNy1CYviIRL6I1pITT1YIgTzbKiSKUDI8rFkzZOSjfJbCKGMb6uic+jNS/B4XJop0QrxyY7Tapg35BUGTVXiPsX5xHqCOQmLlR4DTmCFOEkz0AhLklZkd1iMz9vACGVv03JH6QH4xk2kXFve0YNrTKAxhFry/gDoiOmTEw4p1gcrPUHlgNZCcY5HCkIPM1a2L3Mjc/XQMZpkNGwSJyst/7kOG8kV8yirNkhyXQpTdWKu6IvQuncUgJAkmeoHRGnuihAxXCmPqYrzDEEQgrLMcgmdjLNDONGZbGe8sgSEqr/CXgZpwQDw6CDOZ5BRwboS8yDC+u55hS224pk414lh4drxlbTOIeHnV/gdkIkyfRnstN+p60zUdjvqpT3qCiVUBxePhMCTkRCkHGe8kQAr2EYyXMwmD7UyDAJGKZHyrTQqrAQQDwlGTExLZGJ+zFZhyDkMYOBm6BnmSb+Q5qH6DjmkHk0XaIcLeOE9e5OnROltT+R+ZuNc0SVBedXLPaUA9eNXk4rtOg/4h9JBTXyQJJnqBIlI+il57gcPQNg6phvxqg+XJXH/99WXxsBnM4447rizDAYYbCdoez0pCmcMTQWJ+K5eQmEwMGXg6gwHXCG8GuQfhGef0aKDZZCTq+pDJIMR/IU+eoMki+YL/5eszkvvyViX3dm67LWYRykiuyhxlrzvdSeqQJJjojeiBh4Vw4yAMFUKRjQHGRAhYDoMAhZkBBCHFNWHkqwEkFuWB2PMOEQrXeIPhlUUZldt3Sz14icjJUx8I0OB/YNw6yc99hcPyGoSQlU8epzTs3FmDMtflDqLnEU7a7kmCid6ggMCQJjEm+YSBAs+JF4gMrT0UAiOUQHhegHjcO4xktRD39skbE5b6VLdYvMxjDc8MhKRmci3+FuKb7OEB9pVlkGAQRA3lki+PFDH7Hp70PEF7h/dKtmSYJJhYFVC8UD4GFV5QH4UML5K35LEvEyGO2YAUCdZ5IpEgCSHzOeecUwiTcU9qDH3RDssQkdDWBI4QFTz1ooz+j4SM7OdnJtc6S5tDWANXk1iMgUF9rQR1nR2LdmjDf+TG87SsSb6RxzxAPSXlRn46lBgTrjvFPkgSTPQGpWR0tTdWG2UXGORGft67YRMAu7DYRdg+hZ/85Ceb888/v3x+4hOfKN8//elPl3eQmDQJo+5770kwiHh4dcJaM9me6WWosfNJnKu86izsZ9BCfgvAbasV6Gvco8gNGcfMcQxDTAvkL08pyCraJdIkcL386vylSfNNEkz0BmMLEpDid1dQZE+D2C7/r/7qr5oPfehDzYc//OHm3/ybf9OcdtppzamnnlrezeE9uG94wxvKd9vu/7t/9++KQRsoD+9wVuDpDS8t4s2akf3gBz9Y3p4HjDbCUl6gENh5CDM8RyDL8LL7yLVGEAhZu3ckhNKXRFwXST7yQ65SfY8gwkkQeuYzSBB44ZPKJkkwMTX0UUYKzSPywiGvfDTrJ5xEIsbIhIntZNJBqOnxOYRoL0LjW+FlzQLIQlhr5+jf+q3fKmW1acF5551XXm/ptaRCYSGwd6l4z289IQJ15zKLUC7JuJxZcPso8nZ5vtpIm1hMb4yXt470JyXDGtOSS5JgojfCCGp0VUwkyHPQs1tj5+VDXrKEPA499NDyvpE62VjTfyZLfHc+QpxV2N3lpJNOKmXl5SEKpGAyhAfruLDZGOKoiYoucg3vDMh3ueEeiM/CdsTv9Z/axdM91i7G4228wmmS4LTwlHWFmr1SJWYeZjyNyRnT4q38xm/8Rtkaf9DM5CggQHkJGYW2iIBKOi50GwZhkKcy7Ck4Sx7gMHhyhCco8Yh4hmaQjR+SWUyujCK7YaZaX2O22TCCTkKb6FiE1HGt12t+/OMfLx41crb+0vVdO68aCFAbCu21m/bQdvKMYQpertnyWP/YF/LXiXivMZkhWnWwlrQv0hNMrCooMsPgPfCazI76jiC8UnJQMokgOW9e+nBen3WAXkRl/I/nZ92j40hwHCKKc9pptaH8SE7babfY5izayVgnj9Ayp1kobxtJgolVBaPgDfHqjAXq0SXfeQ5mS+vkmPEm/9eLp2cNyLlOiALZmzW27Ef5Z2kyp11eaRTq83RkPE7juNpOPaMtffdpKICXnySYSCwBZCENmxBwrD4+D6FwQLkRRnh+q4WQ7VJlWIoIa0TdAnXe49xrNZEkmJgphMGMk+L8WcSwsraPBWrPajkw7L7t3+NiUD51/vX/7f9mDUmCicQaQ02m9ee0CXbWyW1cJAkmEmsUbSJMDEaSYCKRWGgkCa4RDAp34ljXZPHrUots5z0ESiQCSYJrGDWhdUkWuo5aqNxGjAvN00xtIhFIrZ1j1CQXXpzHz+IYBEGNSm1Y6lA/wiXfQRh2fSIxT0gSXANAfJJHijx65hlOyUPtXZLnWX16xKsmviS6xFpGkuAaQHiANpn0VjZvN/NuDs+R3nfffUsm+/bVv73cyPOticQiIDdQWCOwS0fsyWc7I95chMnjgsfnfI+weQDfs7wetB8EXmN7AwXPxs7avn7zgrqdJvG8dXxvf/vbf24DhcBHPvKR5txzzy3blMUGCqMwa1FAbqCQWBIUg9JLxvXixTRdUowHRog9jEgdj/+GnZNIzDrSE5xzBBGZzbV1urFAYTECQ4hdZ2x5j0jQRgU2NuAJRKoxra20Ek+iNsP0BIcjPcHEQFBUCoG0bFkkLJWQkg1HuyTX2KUlySyxKEgSXENAhMJZe9TZuw0p9km2uM81f4lFQWr6nEMYJUSIZTJCYklI7NPW5l2TnYLrtYaJxFpGjgnOORAVEvT+BuOBt956a/mMt3z1ITKeZOzcLDTOMcHlR44JjoccE0wMBKJDerw46wStEfQuC+/x/epXvzp2indguN4SGN7kIAKEWTOORKIvkgTXAHh8wAszq6uXtxW9SZKuybU+eRBLbYceBBkpxxET84gMh+ccEQ4DMgwPLohxFIm1gcScL3wysbLxxhuXiZJByMXS00WGw+Mhw+HEz4GS8gBjVtgTHttss01525e0/fbbl9c7LpXiPG8G8yKgWCeYSKx1JAnOMXgPSLAOQ/X6kuO8xNgWa6mkh5ViMiUDhMSiIElwzoGsBpFWTZBBjEsl4YXPCIsTiUVAkuAaAdIb5L0htHHTrBAfUq890qiXT8fiu3PMivNgZ817jfJFeQOD6jKv6CPvWWqjQJLgHANphbfXJrE4HueMk2YFDGVQaO674+DYP/7jP5YF4XHuLCHq0Db6ID7H6zLX9ZxVDKtLF/S5psYwnZ4ESYKJmQNFF5bXCFKJReDOiccDPeZncmhSY5gmlCWGGQLKXRO2OgBicEwdZ50Ig6ylYfL2n/Mi1YjrZwlJgomZAiOx6PvRRx9tvvjFLzY33HBDc8sttzTXXXddc+ONNzZ33XVX2f06iCTGMGHmjGtduSwluueee5rPf/7zzWWXXdZcfvnlzSWXXNJcfPHFzec+97nyn/oEocwSkQ9DkFzIW8fkCSLtdNVVV5V6qp+kvjfddFPZ69LSrVlrI3jq76zD+u+JxNjwfLEdqSk/w91nn32aZz/72RsIqS8YyiOPPFLI7oMf/GB5DNB9rr766vL929/+dlkGxAO0mNv9wsPyfVZIJIgCMZx33nnNpz71qUIOSOLKK68s35G8czbZZJPyeGJN6H2BUD/72c+WRx61ScgoQK7WdloDagmVJVGjUMvT90jqR+7K/Nhjj21or8985jPNpZdeWshPPXVcNvm13MraROfHfpV94L7uR3bqZWG/OogK+iJJMNELy0GC8rzzzjuLB3HttdeWtYuHHHJIc/jhh5f8hb3f+c53yoJg6yJf8pKXlOsQCTCw2mhXE3b25ukhP/VBBLxCBiypq1cYfOMb3yjHeVNIYtK1mctJghCenOOR7xVXXNGcddZZhZg8cqkT864bMvD58MMPl53P1XHTTTct7WglQp+2Wg4SnKzbSSSmBJ6cjR8Y6c0331yIbtttt2322muv8lTA/vvvX7b7f+Yzn1k8QucgEGsckd9qg3FGMlnjGe7YzILnetBBBzVHH31084pXvKI59NBDy4J0ZRcO85aEjMiDJ1yHmrMI5UNg2uz2229vvvSlL5XOcJdddmkOO+ywUkd13XvvvZvnPe95pV5f+MIXinfoHTZkMkkd47qQ96RIEkysOigy4+cR8VIYjZ59yy23bJ7znOeUHp/RIRMeDu8CwRgvFJKFRzINg+iK2iDDsHlAXnbF+9t1110bwdb73ve+5sMf/nDxmP70T/+0ef3rX182sVV23hsPyriZa2O8cxahfsgbeHcf+9jHyqYbBxxwQPP7v//7zYc+9KHmv//3/17q+q53vas80ibcJ4vrr7++dF7Ge8Nrl9+gNAzh9dfnjDp/HCQJJlYVFJhR8Q7sesOrMD72ute9rhCesb8AEnz5y19ewmCEcf755xePEYGu5uxwPeMLvCKJV+QZ3h133LG8vArhqa/v/nvjG99Y6orUDS2oCzkgCDIJg58lkLEQWz14vMqJ6E888cTi9UWHJaznuR9zzDHFK7TNGtK0WxHZwKTkNS0kCSZWFUFcQlshoYfjjRl5jhlZ1MTmuGeajSs9/vjjG0JnkyXOq89dSYQnGqSFxITtwkPjmsoLyuc/Xq5xrP3226+Qg+t5RzF25jwEUadZQ3iDnlPXMdl/Ur2CBMGmBrvttlsZytChOa6exvR0GkmCicR6GCTnCZkx5RXxrKQwJouiGU2EmzHY71wzkMaZVgtBbOqgbH4brI/XldrFpYayS0iSF2jc04SSSQNLg9RVPvKEPkShDMPSNIAAJV46Lw8JmqhSZveITgF4hzoDY6DOjwkhXmSSYCKxDgwB4fEQeIFCW2BIYSS1YSHCCBURhrE3Y2rOXU2jUkbkpvzKaiyTJ4scoK5LwPlI0pgZrwlhOJ88EIo0SZ2mRXqDgPR5fsqN3PxWb8MSUkAbKQcvHvHziuP8WUGSYGIiBPmEp9YVrmUowlseAgJwTF4RMoVXBAyMISEPZGgigXfR596TIuou1VBGY2JILoy9fQ6oq7IjPstjhMa8wqUw7L7xG+kMI0CyDK8NBuUzDHEesnO9eiJC+Q27nzbSvjoH1wuLDWnIow9Jy0NbB+lOA0mCid4IA6KUQV5d4RoGIhyEMIwgQQhl91+Mp9k522/nrQYBthHlQAi8HgQR8giDr+XjXKRvHNBxBKheQmTk6ZjUlShCFq6T4t6Rj7JZIxgkEjIeF+0yqWfdSWlHoW5AeXRUJkMcFxqb9a/z6IKQMxm5d998aiQJJnqDQVBG4Y3P2hjGBUNkmMhNHjwh4SFDDfKrQemdLzFkngYSXS1vsC94R0jQbDD5mUAZtJFtFyM3qWJogEwCro88tBfZWpqDrMm3T5sNQtxDm9Terzree++95X+TJHYf17bayv9dgfiCeNWB3kxahyTBxKqCcVBmBOgTCRpLG6bczmcEDM13hsSguno0q4UwfB6gCR3ltuRnzz33LOOIQSABdZRqxLH6uHx5XPJFgsOuIztE63zn9SGiQdAGvED10W7yRYDWfBrr1Z4WviNBpD+ofONAmSWdCNCbPvnUSBJM9AZPQhgcY3l9iYhhhldi8FxiNJSbMdUJfM6T11cj6uFJEY8GqicC9EQJcghEXbuAV2n9pLYgz5pofDpGbrxmCZFMiwi1feQpP/ezFMZCao86mkCxVEYorJ5dvTflFk5H2Y0hI92o5yRIEkz0AsXjtQjBKDnFpJR9DIohMlzXy3eUUjMG4W8YMGPiQfJuJjWGlQA53XHHHc2Xv/zl8v3UU08tz0YjfgbdF+SuM/LUDVkOAy87wmGymwaJAF2QdxCcdvL0j6dEjHfyAi0ajzo6p+t9XeM+vD/5qIMJsknLnySY6AXKaHyJQuqhkdIk3plrGa+QTrJmbpBniSg9l+ucQBjHPJAgWSFBn9YS8gCtoQPljzp07Uycb90kEjR7jpAGyUSbmVRCImRJ5l3uFWWs8/W9JlN1E+o/8MADRS88+62ulgDx+gN1HkvBueoDyuweoPMLYu2LJMFELyA/PTzF9j3Cqi6KHaDEiEwenjGVhHaRZ50YlUevGHsov+OrgbquvkeqUR9D9Lw1O+WYBPFooPHASSZDAjqM2KHGUxzCTpNHbcRavSgLT77rMEbUKYivLi+CsubTwnfjkyZ8bBjhCaDw4GrE9e3UhmOuVVZlph/upY7tPLsiSTDRC3plyzkk3kWEQF2BwCKsjZB2FKn5jyFIzmXUEYINMp7VhLJGQjix6agnSTxmZpKgTVTOZdxk6fu4QDCucx/tYQZ2EMhN3ogk1mZ2abdRMlZeY5Lq6Qkg9TzhhBMKIU9ruEIEoJOkf7xd7a/tJ0GSYKIXKCFDCwISvgqv+kBPzmCMGRnngaWMjeEyfJ6G8G6WEGUPckFODNfz0YzYekAhMGIgxyA750vkEd6N/yLVaP9GbghNO/DOhy26VrYgDWOSyqMT6gNllZ9P91ZHm0Cop3FH7WlxdLTpNMAD9Ky4PJG9eqYnmFgVUH7jOz6FqBbDMqquiHx4RiYIzJbG8WEIpedFHXjggYVQBhHFaiPKZPyKZ4QokINnbYO4g/iQGDJSbyQVnu2oerkGXG94wHIU9/D0CYKA+nqfSJfcELB2c12Q4Kh7BeIcxB7X6fyEwPYWNOGDiE8++eQyGaKM7hNlBeXt4+2CcF89TYjEo4nqNAmSBBO9gYwinLvmmmuKofeFcapYQ8Y78UzwMM+S8TEC53sCgdEjjFHEuRpAZCZBbK9vMsfGCpbDWC5CduqHHJAB4rBshgwRCuIA5w2qF/JwvfMQn6UoxuCQSzyf24Z8eFBCSJ63zid2dGljKVkiniAfnplxTgSoXewtaJhEh+YePPbwPpVXyKyeUccuQNruJ8QmR7rQlUjbyO31E73BQBEWxbQcwkSJmcA+YIiM2sJahgy2f49HvMDTEJ4+sHOM47zAo446qoR/q0WA7iuFhxSkxcAZut2UvWTJsp6YGeXJIHmzpz6Fj0iMDIGHw1MLTztSDfcKzxGBxm7cSO7Vr371hvd51AiyIGuEaTZZOQ0pICxlh/hs37OGvMIDtNW9NY/qAkhP3sjKZrHaNCa8kKUOAXjDw0Jl+escoiy+G8d0H2Tr1QGih3h8clRZl0KSYGIiMB4K60VIZjr33XffDYo7Lig4g2f4yIKngCA8ZqW35124h/0DkYqt2u3Fd/rppxfvitFNYgTTAEJSjyAe5HDOOeeUFw/ddtttJSRGErEHYmypj0D8do56M+ogpSDNQahJAjl4z4fOI5bdtMcEg7SCWBFRvA/EpqjO19mMIpQ4HnkZn+PpeqeJdolxQUSnXupo929RgvWCPnVgZKSDG0WC6qY+znVfZG1VgLcOkqMtvIw5TmOdYJJgYiJQVsZAyYXGxqJ4MqMMuAaDipCGESI9ng1PBXHw+IR3DMBbzBgXI3/lK19ZxtZcw1C6Eu+0oQxBgIjuggsuaD796U+X3bKRA8/IuCnSUTdkgfSQkcXm6syz2X333ctkAllGfoPA8NUdUcgHCZKTUNQYaQxTBOJ8ciJr90OCvDWE5NpxZnD9LyF5JHf22WeXTkmdRAXqyWOnEzFOGfV0DHl6coQHr22H1VE5/ed891Ne9zFk4L/XvOY1JaQfJaNxkSSYmAgUVC/Nc7Pkgldio1BjUuMSEyKVD48OiYahMihEyKiQCYNiOJZdIAvei9DOtdMwhmkgJkGEbMbbEAtiRzKSgXxJPchIHYzRGUNDDogwdpJRL4ksfA4CcnEv3qT1gd7OR4YIDyKPSPUxYbjkfMmwwrhAgsJvwxPKp+NTT5/qFMtX1FNyTP2V8eCDDy7tF17pKGhfyf0uuuiiomNm15Go/OkOLJXPKDxlXQUmG1VMLDx4ANa/mQBgVO95z3uKklP+cUDJEV8oMu+GZ8GTsuaMoSMGXo6Ft4giIHwGBlXnsVII8/GpM+D98Fp5WWDG3PHay0LYvF8pOgrhr/DOuCoyQWLD6uJ4hItCarIXThsLPO2004oXuFQHpLzke+GFFxYyQSpS24NsI+prnA8BCk15a9EJ+V97Kl+cq+5+O8eEhoXT6ono2+WMeoF6uoYnjeh/93d/t3jJr33ta5sjjzyytLnznTdMVuMgSTAxFQjpvGlMWOZNashKmDUOahVEDEESPD8hFO+K18TLkIwjBRE4L7yFenB/paDsUpQB4UkRxgUZIDWffitjmwTV2fgWwmDcfg8zbMfdK8YCDUWQi1dd6igGwb1DtnFPEzGul5CKFz/F0p2lgNx56rEsSp7KFXVEZFF37YXw1EsdfSePQUTv/CirT+cKgY05G2JQR2PBOkUgh7h3XyQJJqYCasSruOSSS4qyW/PnTWu8QUrq/1GK6n+JUo/ygiDODQQRMrYw8JVAlEMKg5fCK10Kzq3r6Xf9OUgGjrmXMTJemJlnHhlZmyyyDhEij4Df5OT6kK9hBq8u9TpQ42s8QaGq0HgcRJ3lFSmOu1f8735kUsN/9TU1/Kc9JWTqJfa8Xed6e92xxx67Qb6j8hkXK6cxiTUNSmiigjFa7uHVmREqjYNQ5DBQxtNOAf8zgki8BR7UOMSzXHDvMPa6/KPgvBp+R93iv8gj/gPkwAtEfoYN1N9YmzE3GHZf5eMJxv/CYONrZodN2vC0DGcIP5HLUhhUVslvctApCa/dt436ujbUTzlB/dTTBA4CtATLdfW9JkWSYGJqEJIZ17IgmOLHO4FhGso6q1C35axfeFXA8JGEcVizs8jEO4wHbcQwDJEHojEZYqLJOJ3JB6G18T75riZ4gMZXhcF0yLpAhG2CZdpIEkxMBYyUERpT2nvvvcsYXiyS5bVEzz0Ky00my4HlKnOdL8KSyA85mH22Xk44S948OV4d+H+QnOv86vJqM+TCw7K0xqSOzgsBIZ9xPMJpIvSEZ6oc6mqsFwnaeae9rrCuV18kCSYmBqVlpAwG+VkwbYZTOGzhLCLkzQzDIKNN/BTkSr6GFkxEGAf86Ec/WrwiC6t5gWBChpxHybMmwjgPEeq4jjvuuBIKIx9LkkxKyXMloUzqoAO1MkAHarwSSZtUqTEp+QVynWBiKmCoFNinUIoXYfDe+kGzu8aGeCv1ALnzpXF782kp/XKjLuc0ymxogTyN13kCxfIbj8WddNJJ5dnpmhzcb9TMco36HG3Gy9KJaS8dmLYy3ui4MkxSl3GvpTMWm1vyY3WAUD+et27Xa5Ly1EgSTEwVFJPBhAExKMTIo/CfRJljsDxIsCumZQDTRrtck5aT7HhnnrqwWzMvzTiemWC7tJgMiXv4rNMw1P/7RIBBgggV4Vr+wiMTXjtHBxaTFYFR96gx7DxtH58xBsgDtHSHB6ieZqtjswdllFekaSGXyCQmAvWpVahWUIptobMtloRXEb4ZhA/jZWjjei41pmkEk2CQ+UyzbAjJOJ1hBQRh8gkB8o4God0WgVFmHucJuYXbZmLdC+FqGwuceWTTnpSI6IEOID0LonmBxjrpiBBdqI8AnTOpNzoMSYKJiUB9BqkQZaXkjMrYktDGYLdBbgPc1rP5Ht5FV+VeDmPog2F1nxY8JuaZWXLkpSEHHhLZDUJdnroco8y8Pk/HxfOMZ399+s1LdG+TKG2PsC+USd70AtH7Lu/6MUOkP637DUOSYGIiDFKf+pjvPAxhcUyQMGazmsPWkI2DRSFB5Mc74g0hP51Hn/xHmXk7P0Ro+IIXigR5ZtqPR8gzm6ZHxgNEtnRDvrzNIHl1lpYbSYKJiVCrT20YjkuOxXFGxTv0m2cxiSFNcu00Mch8plk28iI33pAxVr9jbKwLupYz2i+W5rSJb1p1RLhRPzrh0z2X2/urkSSYmAi1+rQNw38So61/B5wv1cfGxbSMcFIMKvu0y+YekScPLSYJuqBvOZEu7931SHjadUN4kjqtVpvmOsHEsoFS14rtO+NtG/BqKf+8oJZPHy8Q+srYdbyy5WijIPflmvAYF+kJJhKJVUFQz2oSIKQnmEgkFhrpCSYSiYVGeoKJRGKhkSSYSCQWGkmCiURioZEkmEgkFhpJgolEYqGRJJhIJBYaSYKJRGKhkSSYSCQWGkmCianDQ/dSvQ7f70RiFpEkmJgqEJ8XAkl2HwG7hPgdxBgkOW3Iu/0AVPt3ItFGPjaXmDqoVP1QvN8I0QahdkGxJZOdQ6a9ZxxidQ/3Wo730ybWJpIEEysCG2d681zsHuzFPZNurNoGVbZLsYRg3eNZz3pWId2+W1Al1j4yHE4sC4TAdg0Gnz/84Q+br33ta+W1kbZsFx5Pu/9FcvJ99NFHm5tvvrm8uMd3r3GM0DyRaCM9wcSygFohJOGpFwV5T8Y222xT3lHhPRleoMMrhGl5aMjWuzC8E8Ob0rzcSTl22223DfdcyW3bE/OBJMHERBikPo7x/Lw854477ihkhHwOOOCAQkabbLJJ80u/9Esbzq1JcBQhxr0GneM/3p6wF/l6T6/XfPo0VuhNabvuuusG8nV+e4frxGIitSDRC0gkSCm+SwjH+N83v/nN5vrrr28+8IEPNI899lhz9NFHF4/Mi7S9SSyILK6pU51fpPb/gTgG3lOBbBEs0tt9993LG9JuuOGG5tprry2vdVQ2ZCnV+SQWF0mCiYnQJhLkgvR4YYjw8MMPbw455JDiAZqgGAakGJ4ZUuPNxftvhbd+y9tYY+0JusZx5NYGr8/L3r04XJnOOeecMi4ZbzdLJOCpv7MO678nEp3QJkC/Edc999zT3HvvveXF4ULgnXfeecN43KBQFuk5juAQlHfRCqHvu+++MpboU3gtmeQwqxxvJ3NPyfc2sQl7nWuG2Au+v/71r5dzN9544+YFL3jB+rOmNyaZmE8kCSZ6IQiohokJs7FXXXVV893vfrcQH09w8803L4Tkmppw6u8I0OskLW8xjodE5XPllVeWsBopSkGCXtzOs+Qhyrt+SXeEzPJ3rpd5I0gepdAYCe64447l3Fw6k0gSTPRGmwR5W/fff38hL2N/r3jFK8ps8NOf/vShZOOY/2Iyw0zyJZdc0lx66aXNd77znUJ6Zpjvvvvu4mEKZ5HZpptu2my11VaF3CKMDsR9kLJQGUkiTZ+33HJLyc85m2222YYJmiTCxUWSYKI3EAcilHhyt99+e/G0kJJJiT333LMsWB6HYH7wgx+UcPW2224r35/xjGcUAt12222bF7/4xSVMRrLGGYXFyA+5xmLo9j3it7I5l0coGRtEojzVHXbYoVyPHBOLiyTBxMTgcSGpiy++uPnc5z7XnHDCCc1ee+3VPP/5z1+SYJAUb+3hhx8uT5QgQqGqPA488MDmoIMOKoTqKRPkaMIFGSIxvy17Ed4Kgdvept8I0D18Nyttttgs8U033VSuVUZeYmJxkbPDiV5ALMgvPq0HRGBISJhq4qEep1sKJlTkc9RRR5XZXETIC5SPMcUjjzyyEKP/5Css5jUiUJ5gTJQMQhx3jryEwXDNNdc0d955ZwnFE4uLJMFELyAW3pXkKY3Pf/7zxTMTYiIuXte44MUJcV3/0pe+tJBohLkST09IzCPcf//9C4m5xvlIcCkg6oCQeLvttiuhuokWHigvtj4nsVhIEkz0hlATkJEw2LigNYFdd3BBQCZAeIPGEBGoY4gu4F7WGiJCY4XuwbNzz1EITzXy8t2SneOOO64cM0ZYk2B9z8RiIEkwMRGQiDAYeXg2eL/99uvkBfIojcntu+++zcknn1wmRIZ5ZfKtJzLck6c4CvJ3Do9Vvj6Rp0/Ea0MH6xAtz/E/Uh12/8TaRJJgYiIgEbu1CDOFwUJVJNMV1vIJhetJivYYH6LiLfq0RMaY4VIkWAO58SiRqeuND4Kw2LKZ8ALb902sbSQJJnqD1/Tggw8WErQw+rnPfW7v5SaIB3kiNUTld5uMjBtaS+jTuKHQG/mO47k5J/LkbSJss8M2c4gnUYTKEeInFgdJgoneEFLGzKpw1ljdtEJJ+UQKGHv89re/XUjLBIzZYt5cmyzHAcLlDSI+xMoTBHVKLBayxRO9gJzMzCIRxGHXlr6EtBR4nMJg6wM9j2z5zC677FJmjMf13MILjPL55EXKz5gmYs1JkcVEkmCiF5CgpTHG55CgsUAzttMiwZq0EC0CtJwF8R577LEllK29tq4EJl8EigR5grxM90ksHpIEE70gDLZpquQxtJiwqMPXaQHxuU+8O8QSF15gTbhdw1jhsOebjQ1algNJgouJJMFELyAMj67x0BBgoD2ONynCC7RdPuy0004bFlMjvr73MoHDe0WEJnQQLRJPLB6SBBO9gDR4ZsbSEJHdWHhXSy1e7gpepjE7zxWbyDAjjLwspQnvL4i3CyEiQTPaPMEgQYump13+xOwjSTDRG7w0j7SZELH2zvKWvktkAojM+B6vzEJsGx14xtcY4N57712eGumzDnEQgjSRaZBfHWInFgNJgoleQFSSGVZr7eKpjJjM6ANEhJhcL8S2pyAvkLdmRtgSHON301rLF/cKEozficVCkmCiN5AGrwwR8gAjPO0Lky3IKMYBzz///BKiHnPMMWXTA7PPQbTTABJHqMoepJ4kuHhIEkz0BkJCXLw2xIVEJgFvEukJgW3IYPssSQiMrNwjPLZpoM5nWnkm5g9JgoneQHpBHj7j97A0CI4jUsmavZtvvrkkO0ibuOClWR/ot+eUTZDYS9B2+867+uqry28TG10RXl96f4uNJMFELyAvxINA6k0MliK8NiIfBIjghMDIzaSIjQ08l4zobrzxxpJs32+ixHihc88777zy7pGuXmhNfMrgd5LhYuIp6xQg44BEZ1gec8EFF5RXYsJb3/rWZuutty7jgzCMUNrHqR8Cu+6665oLL7ywkJvwWj6W3QwaZ+QdCpu9Y+SUU05pjjjiiDJ73HXCRGh9+eWXF3K1ANtGq3amSSwW0hNMrCqQoFAYqSFDT4LYUss4oFlns8HtZDmOSRLnIC8LniedMU4vcHGRnmCiF6blCZrsEAp7+ZGEDJEiQhzkBQZpysciZ6/1tHi6D2pP0IYMe+yxR3qCC4gkwUQvTIsEAeHZykoKAoRhy2GorOPuZfJkEFmOgyTBBGQ4nFh1IDEbnXr9pdDWazEl4a7f7RTHeYJ9CTCRCKQGJWYKPLxIicRKIEkwkUgsNJIEE1NBem6JeUWS4JzDJEGklUSQXh26xvf4nUjMA5IEE4nEQiNJcI3AshJLPgJ+j5tqT9KnY/KKFOfU8Lv2+ObN+xtUn4Dvw1Ji7SFJcM4R4SeiqjcRYLBBYm1Dbqea5Hy6Rl5SXD8Mcf/6+6g0SxjUASQWD0mCawSep53GjsvW3UmxT2C8DD2RWKtIElwj4GXVC4d9R4xSENuoVHtpSM+xwDge0qx5eYnEuEgSnGMgJyFdJM/h/t3f/V15Ften3VjGSXGN5He8T1h+ozZLDfIMAkwiTMwj8tnhOUY0nU9EFvvv+fS7K3iNQmCvs9xmm23Ks8A2J4j71CTn2eGLLrro554drvcWnGWokzHPK6644meeHbaN/yiTSKJfe0hPcI4RBslow6htQoAAf/zjHxfPzisxx0lx7ve///2yoSlP0KQIuM9Sxl+Hz4nEPCE1d45Reyw8MB6cN7Px4rbffvtO6WUve1m5zovN5WEvP5uaDkMQY02QSxFlIjGLyHB4jhFN5zOWtfAAfY+lLX2al1dn12YkOCy89VL0Ohw+44wzymao03on8HKDXDIcTkB6gmsADNOMbuyv97znPa+M5fHovBi9a3Ktra3mhdASiUmQJLgGEB4fz8bOzMYFzfDWyRhflySvPl5kIjFvyHB4jhFNZwlLvLLSFvUmRpCY2d4+4dvTnva0EtratNT7PAYhw+HEWkGS4JxD8yFBBOi9vIzap7HBLjO2jBtpIoaNN964OfbYY8sb3LbYYov1Z/wskgQTawVJgnOOIEGkdO+99zYf//jHy6ffXZqWcZsEEQqbZX7Tm97UHHbYYWXWeBCSBBNrBUmCc454UsQnAnv44YfLp99dEGogLx4kD3DTTTcdukwmSTCxVpAkOOcY1HxhqF2b1vnta/0eZPhJgom1gpwdnnMESdWJEfPoGHmXVOcHsfZwFCkkEvOOJME1BmEw0oqdYLok5Ic8LbNBgPIwWZJIrGUkCa5RhEfXJdUeX5BipEFwfqT4PU0EoQ+C/xB1IjEpkgTXGMKrg5rElkoB3p9Z4jhWE12kOF6j60TMpBCm81oTiUmRJJiYWQQRh0fI8wviMwETZJ9ITILUosTMI0JzC8C/9a1vNV/5yleav/3bvy1eayIxKZIEEzMLHmAdqiO+O++8s7n88svL44H+a4fliURXJAkmZh7I8NFHH21uuOGG5pxzzmnOPPPM5otf/GISYGIqSBJMFNQe16xAmRCgHa9vvfXWQoI333xz8QJ/8IMfrD+rO5Bnm0CTUBcXSYJrFAikSxp0TY1hx5cT7uURwO9+97vNdddd19x2223Nd77znQ1LYyadkUZ88oh8gghXso6J1UeSYGJmYXswYTDPTzIzbMPXWMCd3ltiGkgSTMwseGR2xLn66qvLZg4vfOELy47XOSucmCaSBBMziRgL9ArRO+64o9l5552bbbfd9mcWck8atro+Fpf7Pml+iflEkmBiJuG9xh/4wAfKbjU2ePVGPG/Aa5NVEldiUiQJJmYGMVGBAO+///6yQ7aXRh1yyCHl01hgTGJMSn45npgIJAkmCsLDGpaWEwgpHonzkqgHH3ywjAV67ScPcLfddiubuwZJ+oyUSEyKJMHEqiNINnbG5gVaFnP00UeXzU6RI5LkCXrxE/KzgYJjEmIMDzGR6IokwcRMAJmZCLn99ttLOCz8NRHi08SFCRGzws5LJKaJJMHETIAXaE2gmWBEt+OOO5ZXfgqDeYBeLA+8Qp7gNGZ06zwmzSsxv0gSTKw6kN5DDz3U3HPPPWVM0IJoJIj4Yt9Au11bPB1hsM9Ifks5RpjogyTBRC8ITU1cxFMdtrmKbfm7AHEhPk+EWBOIADfffPNCgPL2n5fJ/+hHPyreYpCd/9zTf453hXzk6RlkYbj6zMtLohLTRZJgoheQxnOe85zy3RgeMkJMMXs7Lnhyjz32WJkNRoLWAgpTeYaWyDzwwAPN17/+9eab3/xmWTPIKwTkFce///3vbwiTx723csrDBIwtuhBgkuBi4qm/sw7rvycSYwOJIB4bGvCo9tlnn+ZFL3pRGcPrMrbGm7MtlkfjTIrIy6apt9xyS3PTTTeV/yTfkaTZY2SL7B555JFyLk/QrPHGG29cxg/HuT+v9dvf/na5DzLdc889y2N58hiFHDdce0hPMNELPMFnP/vZJSGgeiFzV7jumc98ZgmD4fHHHy8EJwm1eWq8QN4mz9G9kZhjvMgIlbt4oO4Z+Zl5ftrTnlbqkFg8JAkmegER8ZqMCyIPJPSTn/xkg5c2LoS+QmDPBnsyxITI1ltv3bzkJS8pL3Pfaqutmhe/+MXNlltuWcLvWCrju+OSWWQkNshLixC5XSa/EakQ2DIcJCzvxOLhKeuUYXyNTSTWgyeF8D71qU81l112WQknDz300GaPPfZYf8Z4kIdxuUGTKkiNpyZk5vHZVv/iiy9uvva1rzVvfvObm7e//e2F/ITgvFGEjNRqMqzVO447ZjLEBq0WZiPwE088sRBqLMUZZhYZDq89pCeY6A2E8KxnPatsb2XcDjnBoLAYqQwiFl4kr854Is+PFyhZKP2yl72s2W677cqn38LleGKE9+gYDzE8OR7iKMT9IxQ28YJ83R+B8kr9N4wAE2sTSYKJiYCAEJjZXc/88ux4b20iCXKJFEA8SBS58ep4YhKPzn++Oy45huiQL/J0zGeEyM5v39e5tQcIJnRimy7jiu7vPq4PbzSua6fE2kOSYKI3kIKxu7322quMyyFAy1XivzZqAmyT1SA4J7xKHpuw2LpBx5GV+40L5UFygARNppgVlq8NW5EpIm2H04m1jyTBRC8gCkk4bGmJkNLYnnE2xBKoiQz8bqdhCI+yvhevUxq0lGVUXhBrCWP2GfG94AUvKGE4TzSxmEgSTEwEYaRlMsbmLGex3k+oGUBkUk2EgVGk5T/JdQjQ5IeJC17n3nvvXe6HxPwXGJUfAgxSRdYWYSNu449moHmAicVEkmCiN4J0eGi2vTI54dWYxgZNPPgf8cSjbhCkFd7dOEB2CGv33XdvTj755OaMM85oDj744BLeRog7igBBHgjbPe+7777y+k4hvFRDPkvllVhbSBJM9EIQhU/kYp0frwopCYkRIcIxaREeW52g/t6G48boYsJDPrG9FjL0jHEbw/IC/xlDtEmDSRwhseU8ypxYbCQJJnohCAwJCiWNCwYRfulLXyrr74SyMdkwjAhHIQjQuT7NBgu9kaHvbSyVr2eFr7nmmuZb3/pWIVFhtVA4vEkYt2yJtYMkwUQvIIpYshKwDf4xxxxTnhyxK4znen2H1SIXJC0c9+gdL/CKK64oawzf+MY3llnhRCJJMDE1IBeLmyVLUIwPIp8uS1n6Iki2TbS8UUtrhMC33XZbmVW2Zb+Q2mRLIpEkmOgFHlaMC0KMDVpyst9++5Xvd911V5mFtdVWLE9Zabiv5TB333138zd/8zdldtkjfsLhnBFOQJJgohcGeV3G/cwUm3DwqBvSu+qqq8r4YD3utpIwS20c0LZZ1heaVc7JkESN3EAhMTVQJUn4y+u68847y/PEls6Y1eUhGodbTkJ0/1gPaIbao3HKYSmMiRthMKJeLVJOzB6SBBPLAhMiFiXbtNRssSUpp5xySiEis7uBpdSv7W0uBfkZAzQWaSNWG7Ui4QMPPLDZf//9y1KbJMBEjSTBxLLBrKxwFBEhJLOzRx11VHPSSSeVTQvGIaOuJAh2u/7whz9cnlzZYostmiOPPLJ8umeOAybaSBJMLCuol4kJEyTCUl7gDjvsUB57MzuLCAeNLwa6kqB9B22MYHmO/I0Dmq2OmeAkwUQbSYKJqSNUyqfxuVgobdmMhcoWLZs4CW8w1hoOIryuJGgM0j0Qn3FA4a9lMvHoHhLsmmdibSNJMDFVUCcTI8inJpsgotjIgGeG/Jwf502DBON9I9YDKkMNZcjxwEQbSYKJqQPZRZgboGahao5L9TGYBgkiOnm27w+Od80vsfaRJJhYNbRVLwkqsRrI2CCRSCw00hNMJBILjfQEE4nEQiNJMJFILDSSBBOJxEIjSTCRSCw0kgQTicRCI0kwkUgsNJIEE4nEAqNp/n/Uq+2TF14cwgAAAABJRU5ErkJggg==[/img][br]Dengan demikian 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[/img][br]Dengan demikian S'=(8,4)
b. Latihan Soal Dilatasi Titik terhadap titik pusat O(0,0)
1. Tentukanlah bayangan titik P(-6,3) oleh dilatasi terhadap titik pusat O(0,0) dengan faktor skala -1/2![br]2. Titik A(2,3) didilatasikan terhadap titik pusat O(0,0) dengan faktor dilatasi -3. Bayangan dari A adalah ...
Applet Dilatasi Garis terhadap titik pusat O(0,0)
Catatan:
Gunakan [b]Applet Dilatasi Garis[/b] di atas untuk memahami konsep [b]Dilatasi Garis[/b] dan membantumu menyelesaikan latihan soal di bawah ini.
a. Konsep Dilatasi Garis terhadap titik pusat O(0,0)
Dilatasi merupakan transformasi yang memperkecil atau memeprbesar suatu objek.[br][br]Jika titik A(x,y) didilatasikan dengan titik pusat O(0,0) dan faktor skala [i]k, [/i]diperoleh[br]A(x,y) [math]\longrightarrow[/math] A'(x',y') = A'(kx,ky) ... (1)[br]akan dicari persamaan bayangan garis 4x+3y-12=0 oleh dilatasi dengan pusat O(0,0) dan faktor skala -3 sebagai berikut.[br]Diperhatikan bahwa transformasi yang digunakan ialah dilatasi pusat O(0,0) dan faktor skala -3 berarti berdasarkan (1) diperoleh[br](x,y) [math]\longrightarrow[/math] (-3x,-3y)[br]diperoleh [br]x'=-3x[br]x=-1/3x'[br][br]y'=-3y[br]y=-1/3y'[br][br]Kemudian x=-1/3x' dan y=-1/3y' disubstitusikan ke dalam persamaan garis berikut[br]4x+3y-12=0[br]4(-1/3x')+3(-1/3y')-12=0[br]-4/3x'-3/3y'-12=0[br]4x'+3y'+36=0[br][br]Jadi, persamaan bayangan garis adalah 4x+3y+36=0
b. Latihan Soal Dilatasi Garis terhadap titik pusat O(0,0)
1. Tentukan persamaan bayangan kurva y=4x-3 jika didilatasikan oleh (O,3)![br]2. Tentukan persamaan bayangan kurva 2x+3y=12 jika didilatasikan oleh (O,-1/2)!
Egi Annisa Nurjanah

Hallo semua! Perkenalkan nama saya Egi Annisa Nurjanah, biasa dipanggil Egi atau Annisa. Saya lahir dan menempuh pendidikan sampai hari ini selalu di Jakarta. Mulai dari pendidikan TK - SMA di daerah Jakarta Pusat, sampai akhirnya menempuh Pendidikan Sarjana di salah satu Universitas Islam Negeri. Masih banyak hal yang ingin saya pelajari, membuat saya melanjutkan belajar kejenjang Pascasarjana di Universitas Negeri di Jakarta dengan Jurusan yang selinear dengan pendidikan sebelumnya yaitu Pendidikan Matematika.[br] Banyak hal tentang matematika yang ingin saya bagikan kepada teman-teman semua, salah satunya E-Book Materi Transformasi Geometri ini. Sedikit tulisan ini semoga bisa bermanfaat bagi teman-teman semua yang sudah membaca dan mempelajarinya. Jika ada saran dan masukan bisa hubungi saya, salah satu penulis dari E-Book ini melalui e-mail egiannisaaa@gmail.com. Terima kasih.