Question

On a coordinate plane, a trapezoid has points H prime (negative 3, negative 2), J prime (negative 2, negative 3), K prime (negative 3, negative 4), G prime (negative 5, negative 2).
Trapezoid GHJK was rotated 180° about the origin to determine the location of G'H'J'K', as shown on the graph. What are the coordinates of pre-image point H?

(2, 3)
(–2, 3)
(3, 2)
(3, –2)

Answer 1

Rotation by 180° about the origin sends (x,y) to (−x,−y). So if H' = (−3, −2), the pre-image H is (3, 2).

Answer: (3, 2)