Question

Parallelogram ABCD is rotated to create image A'B'C'D'.

On a coordinate plane, 2 parallelograms are shown. The first parallelogram has points A (2, 5), B (5, 4), C (5, 2), D (2, 3). The second parallelogram has points A prime (5, negative 2), B prime (4, negative 5), C prime (2, negative 5), D prime (3, negative 2).
Which rule describes the transformation?

(x, y) → (y, –x)
(x, y) → (–y, x)
(x, y) → (–x, –y)
(x, y) → (x, –y)

Answer 1

(x, y) → (y, –x)

Reason: (2,5) maps to (5,−2), (5,4) → (4,−5), (5,2) → (2,−5), (2,3) → (3,−2). This is a 90° clockwise rotation about the origin.