Gunakan [b]Applet Refleksi Titik[/b] di atas untuk memahami konsep [b]Refleksi Titik[/b] dan membantumu menyelesaikan latihan soal di bawah ini.
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]
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)
Gunakan [b]Applet Refleksi Garis[/b] di atas untuk memahami konsep [b]Refleksi Garis[/b] dan membantumu menyelesaikan latihan soal di bawah ini.
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
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