Question

A quadrilateral with vertices (2, 6) and (–1, 2) has point symmetry about the origin. What are the other vertices of the quadrilateral?

(6, 2) and ( 2, –1)
(–2, 6) and (1, 2)
(–2, –6) and (1, –2)
(2, 6) and (–1, 2)

Answer 1

Point symmetry about the origin sends each point (x, y) to (−x, −y).
So (2, 6) ↦ (−2, −6) and (−1, 2) ↦ (1, −2).

Answer: (−2, −6) and (1, −2).