tentukan bayangan titik A(2,3) dicerminkan terhadap garis x= 4 dilanjutkan dengan rotasi 0,60•)

jawab

A(x,y) = (2,3) R x = 4 --> A" (x',y')

x' = 2a - x --> x' = 2(4) - 2 = 6
y' = y ---> y' = 3

(x',y') dirotasi 60 --> (x",y")
x" = 1/2 x' - y' 3/2 √3 --> x" = 1/2(6) - 3(3/2 √3)
x" = 3 - 9/2 √3

y" = x' (1/2 √3) + 1/2 y' --> y" =  6(1/2 √3) + 1/2(3)
y" = (3√3,+3/2) 

(x",y" ) = {(3- 9/2 √3), (3√3 + 3/2)}