Transformasi Geometri Rotasi

[b]Transformasi rotasi[/b] adalah perubahan posisi suatu titik/objek dengan cara diputar terhadap suatu pusat rotasi dengan besar sudut tertentu. Untuk arah rotasinya bisa berlawanan arah jarum jam yang nilainya akan bernilai positif dan ada juga yang searah jarum jam yang mana nilainya akan bernilai negatif.[br][br][b]Sifat-sifat rotasi:[br][/b]1. Jarak titik ke pusat tetap[br]2. Bentuk dan ukuran tidak berubah (kongruen)[br]3. Hanya posisi yang berubah[br]4. Semua titik bergerak pada busur lingkaran[br][br]Secara umum, rotasi titik dibagi menjadi 2, yaitu rotasi terhadap titik pusat (0,0) dan rotasi terhadap titik (a,b).[br][br]Berikut ini tabel untuk menentukan titik bayangan berdasarkan titik asal (untuk 0,0) dan rotasinya.[br][br][img]data:image/png;base64,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[/img][br][br]Jika titik pusatnya terhadap (a,b) maka rotasinya menjadi seperti berikut. [br][img]data:image/png;base64,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[/img]
Transformasi Geometri Rotasi
Nomor 1
Rotasi 90° terhadap titik (2,2) untuk titik P(6,4).
Nomor 2
Diberi segitiga △ABC dengan A(3,1), B(6,2), C(5,5).[br]Lakukan rotasi 90° berlawanan arah jarum jam terhadap O(1,1), lalu rotasi 180° terhadap O(4,3). Tentukan koordinat A′′,B′′,C′′.
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Information: Transformasi Geometri Rotasi