Question

Square PQRS is rotated 90° clockwise using the origin as the center of rotation.

On a coordinate plane, square P Q R S has points (negative 2, 2), (negative 2, negative 1), (1, negative 1), (1, 2).

Which graph shows the image P’Q’R’S’?
On a coordinate plane, square P prime Q prime R prime S prime has points (2, 2), (negative 1, 2), (negative 1, negative 1), (2, negative 1).
On a coordinate plane, square P prime Q prime R prime S prime has points (negative 1, negative 1), (2, negative 1), (2, 2), (negative 1, 2).
On a coordinate plane, square P prime Q prime R prime S prime has points (negative 2, negative 2), (1, negative 2), (1, 1), (negative 2, 1).
On a coordinate plane, square P prime Q prime R prime S prime has points (1, 1), (negative 2, 1), (negative 2, negative 2), (1, negative 2).

Answer 1

The first graph.

Applying a 90° clockwise rotation about the origin uses (x,y) → (y, −x).
P(−2,2) → P'(2,2)
Q(−2,−1) → Q'(−1,2)
R(1,−1) → R'(−1,−1)
S(1,2) → S'(2,−1)

So the image is (2,2), (−1,2), (−1,−1), (2,−1) — the first option.