Question

If P=(2,-1),find the image of P under the following rotation. 180 degrees counterclockwise about the origin

Answer 1

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Answer:

(-2, 1)

Explanation:

Rotating a point 180° about the origin in either direction is equivalent to reflecting it across the origin. The effect is to negate both coordinates.

(x, y) ⇒ (-x, -y) . . . . . rotation 180°

(2, -1) ⇒ (-2, 1) . . . . . P' rotated 180° from P

The coordinates of the rotated point are (-2, 1).