Konsep Kesebangunan
Pendahuluan
[b]Tujuan Pembelajaran :[/b][br][list=1][*]Mampu mengetahui dan memahami kesebangunan dan kekongruenan bangun datar.[/*][*]Mampu menyelesaikan masalah yang berkaitan dengankesebangunan dan kekongruenan antar bangun datar.[/*][/list]
Pengantar Konsep Kesebangunan
[b]Coba amati gambar berikut ini![/b][br] [img]data:image/jpeg;base64,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[/img][br]Pada gambar tersebut dapat terlihat bahwa ukuran dari foto ke foto berikutnya mempunyai jarak antar sudut yang sama. Sesuai dengan konsep kesebangunan yaitu suatu benda dikatakan sebangun jika memenuhi dua syarat : [br][list=1][*]Panjang sisi-sisi yang bersesuaian dari kedua bangun memiliki perbandingan senilai[/*][*]Sudut-sudut yang bersesuaian dari kedua bangun itu sama besar.[br][/*][/list][br]Untuk lebih jelasnya perhatikan Applet berikut![br][b]Petunjuk :[/b][br][list=1][*]Geserlah slider sesuai ukuran yang diinginkan dengan batas maksimal yaitu 2[br][/*][/list][br]Dari pergeseran slider tersebut dapat dilihat perubahan ukuran dari bangun datarnya.
Konsep Kesebangunan Pada Bangun Datar
Kesebangunan Segiempat
Seperti yang sudah dijelaskan dalam pendahuluan kesebangunan merupakan benda-benda yang [u]memiliki bentuk sama[/u], melainkan [u]ukurannya berbeda dengan syarat tertentu[/u]. Dua buah bangun datar atau lebih dapat dikatakan sebangun jika memenuhi dua[br]syarat: [br][list][*][b]Sudut-sudut yang bersesuaian sama besar[/b][/*][*][b]Sisi-sisi yang bersesuaian memiliki perbandingan yang sama[/b][/*][/list]Dalam matematika, kesebangunan sering disimbolkan dengan tanda '~'. Kalau kalian menemukan tulisan seperti ΔABC ~ ΔXYZ di antara dua bangun geometri, maka artinya kedua bangun tersebut bisa dikatakan sebangun.[br][br]Untuk lebih jelasnya lagi, perhatikan contoh kesebangunan di bawah ini![br][br][b]Petunjuk![/b][br]1. Ukuran dan bentuk segiempat dapat diubah dengan menarik titik bidang yang ada di dalam (berwarna pink).[br]2. Ukuran segiempat luar dapat diubah dengan menarik tanda (x) baik keluar maupun ke dalam.[br]3. Cek sudut-sudut yang bersesuaian dan perbandingan sisi yang sama dengan menceklis kotak.
[size=150]Terlihat bahwa [b]sudut yang bersesuaian sama besar [/b]dan [b]perbandingan sisi yang bersesuaian sama besar[/b]. Maka dapat dinyatakan bahwa segiempat ABCD dan OPQR [b]sebangun[/b].[/size]
Kekongruenan Dua Segitiga
Kekongruenan Pada Bangun Datar Segitiga
[b]Dua buah bangun atau lebih dapat dikatakan saling [b]kongruen[/b] jika memenuhi dua [b]syarat[/b]:[/b][br][list=1][*]Pasangan sisi-sisi yang bersesuaian sama panjang.[/*][*]Besar sudut yang bersesuaian sama besar.[/*][/list][br]Untuk lebih memahami terkait kekongruenan segitiga maka dapat dilakukan dengan mencoba pada Applet berikut ini![br][br][b]Petunjuk :[/b][br][list=1][*] Geserlah slider b dan c sesuai ukuran yang diinginkan.[/*][*] Setelah menggeser slider tersebut maka bentuk dari kedua segitiga tersebut tetap sama begitupun dengan kedua ukurannya.[/*][*]Pada opsi pasangan sisi-sisi yang bersesuaian sama panjang dapat di klik dan akan muncul pasangan sisi yang sama panjang.[/*][*]Pada opsi pasangan sudut yang bersesuaian sama besar dapat diklik dan akan muncul pasangan sudut yang sama besar.[/*][/list]
Latihan Soal Kesebangunan Perbandingan Sisi-sisi
1. Latihan Soal Kesebangunan
[justify]Menentukan perbandingan panjang segitiga-segitiga yang bersesuaian.[br][br][b]Langkah Pengerjaan :[/b][br][/justify][list=1][*]Terdapat tiga kotak isian yang tertera pada applet kemudian isilah dengan segitiga apa yang sesuai dengan soal yang tersedia.[/*][*]Ketika jawaban di enter jika jawaban benar akan mucul emoji jempol, jika jawaban masih salah tidak akan muncul emoji.[/*][/list]
Latihan Soal Kekongruenan
[b]Petunjuk pengerjaan :[/b][br][list=1][*]Amati dua segitiga pada Applet di bawah ini[/*][*]Baca petunjuk soal yang tertera pada Applet [/*][*]Gerakkan titik pada segitiga ABC hingga kongruen terhadap segitiga KLM[/*][*]Jika belum tepat, maka masih muncul kotak merah yang bertuliskan bahwa Anda masih salah [/*][*]Ulangi hingga muncul kotak hijau yang bertuliskan bahwa tulisan Anda benar[/*][/list]
Kesimpulan
Setelah mempelajari semua kegiatan dan mengerjakan latihan soal, untuk memantabkan pengetahuan, jawablah pertanyaan-pertanyaan di bawah ini!
Apakah perbedaan kesebangunan dan kekongruenan?
Apa saja syarat-syarat kesebangunan?
[size=100][size=150]Apa saja syarat-syarat kekongruenan?[/size][/size]
[size=150]Berikan pendapatmu mengenai kegiatan pembelajaran ini![/size]