diketahui segitiga abc dengan A(2,1) B(6,4)C(0,8) ,carilah bayangan segitiga abc jika... A. dicerminkan terhadap garis y=x B.Dilatasikan oleh [0.3] C. dirotasik

a) (x,y) dicerminkan thp y = x bayangannya (y, x)
A(2, 1) ==> A'(1, 2)
B(6, 4) ==> B'(4, 6)
C(0, 8) ==> C'(8, 0)

b) (x, y) didilatasi [0, 3] bayangan nya (3x, 3y)
A(2, 1) ==> A'(3(2), 3(1)) = (6, 3)
B(6, 4) ==> B'(3(6), 3(4)) = (18, 12)
C(0, 8) ==> C'(3(0), 3(8)) = (0, 24)

c) (x, y) dirotasi [0, 30°] bayangannya :
(cos 30° ... - sin 30°) (x) = (1/2 √3 ... -1/2) (x) = (1/2 √3 x - 1/2 y)
(sin 30° .... cos 30° ) (y) ... (1/2 ..... 1/2 √3) (y) .. (1/2 x + 1/2 √3 y)
A(2, 1) => A'(1/2 √3(2) - 1/2(1) , 1/2(2) + 1/2 √3(1)) = (√3 - 1/2, 1 + 1/2 √3)
B(6,4) => B'(1/2 √3(6) - 1/2(4), 1/2(6) + 1/2 √3(4)) = (3√3 - 2, 3 + 2√3)
C(0, 8) => C'(1/2 √3(0) - 1/2(8), 1/2(0) + 1/2 √3(8)) = (-4, 4√3)