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

Point symmetry about the origin sends each point (x, y) to (−x, −y). Thus (2, 6) maps to (−2, −6), and (−1, 2) maps to (1, −2), so the other vertices are (−2, −6) and (1, −2), choice C.

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