Question

Finding an Image Point for a 90° Rotation
On a coordinate plane, rectangle E F G H has points (2, 3), (5, 3), (5, 2), (2, 2).

Rectangle EFGH is rotated 90° clockwise around the origin.


What are the coordinates of the image of point F?
(5, –3)
(5, 3)
(–5, –3)
(3, –5)

Answer 1

A 90° clockwise rotation about the origin maps (x, y) to (y, −x).
So F(5, 3) → (3, −5).

Answer: (3, –5)