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what is the result of a 180° rotation of a point (x, y)? (x, y) → (x, y…

Question

what is the result of a 180° rotation of a point (x, y)? (x, y) → (x, y) (x, y) → (-y, x) (x, y) → (-x, -y) (x, y) → (y, -x)

Explanation:

Step1: Recall rotation rule

A 180 - degree rotation about the origin changes the sign of both coordinates.

Step2: Apply to point (x,y)

For a point (x,y), after a 180 - degree rotation, it becomes (-x,-y).

Answer:

(x, y) → (-x, -y)