Question

On a coordinate plane, a rectangle has points W (negative 1, 4), Z (2, 4), Y (2, 2), and X (negative 1, 2).
What are the coordinates of the vertices of the image of rectangle WXYZ after the transformation R0, 90°(x, y)?

W'(–4, –1)

X'

Y'

Z'(–4, 2)

Answer 1

Rotation 90° counterclockwise about the origin maps (x,y) -> (−y, x).

W(−1,4) -> W'(−4,−1) (given)
X(−1,2) -> X'(−2,−1)
Y(2,2) -> Y'(−2,2)
Z(2,4) -> Z'(−4,2) (given)