Question

Determine the transformation given the preimage ΔABC where A(1, 0), B(6,−7), and C(0,−4) and the image of ΔA′B′C′ where A′(0,−1), B′(−7,−6), and C′(−4, 0).

Answer 1

rotation of 270°

Explanation:

Consider the coordinates of of preimage and image of ABC

A(1, 0 ) → A'*0, - 1 )

B(6, - 7 ) → B'(- 7, - 6 )

C(0, - 4 ) C'(- 4, 0 )

What we note is the x- coordinate of the image is the y- coordinate of the preimage and the y- coordinate of the image is the negative of the x- coordinate of the preimage, that is

(x, y ) → (y, - x )

This is equivalent to a counterclockwise rotation about the origin of 270°