Question

Rectangle GHJK is rotated 180º using the origin as the center of rotation. What are the coordinates of the image’s point K after the rotation?

On a coordinate plane, rectangle G H J K has points (2, negative 3), (8, negative 3), (8, negative 7), (2, negative 7).
(–2, 7)
(–7, –2)
(–7, 2)
(2, 7)

Answer 1

Under a 180° rotation about the origin, (x, y) maps to (−x, −y). K is (2, −7), so its image is (−2, 7).