Question

Rectangle PQRS is rotated 90° counterclockwise about the origin.

On a coordinate plane, rectangle P Q R S has points (2, 3), (5, 3), (5, 1), (2, 1).

What are the coordinates of point Q’?
Q’( –3, 5)
Q’(3, –5)
Q’(5, –3)
Q’(–5, –3)

Answer 1

Rotation 90° counterclockwise about the origin sends (x, y) to (−y, x).
Q = (5, 3) → Q' = (−3, 5).

So Q' = (−3, 5).