Question

Finding the Image Point for a 180° Rotation
On a coordinate plane, rectangle E F G H has points (negative 2, 1), (negative 4, 1), (negative 4, negative 2), (negative 2, negative 2).

Rectangle EFGH is rotated 180° around point O.



What are the coordinates of G’?
G’(–2, –2)
G’(–4,–2)
G’(2, –4)
G’(4, 2)

Answer 1

G is (−4, −2). A 180° rotation about the origin O maps (x,y) to (−x, −y), so G' = (4, 2).