Rotations in the Coordinate Plane

Question 1 • FL-1205070-M/J Grade 8 Pre-Algebra B

What is the mapping rule for a 180 degree rotation about the origin?

Answer

(x, y)g(–y, x)

(x, y)g(–y, –x)

(x, y)g(–x, –y)

(x, y)g(x, –y)

Explanation

A 180° rotation about the origin sends each point to the point directly opposite it across the origin. Both coordinates change signs, so the rule is (x, y) → (−x, −y). This is choice C.

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