Question

point a is the image of point a under a rotation about point p. determine the angles of rotation. choose all answers that apply: a 90° clockwise b 90° counterclockwise c 180° d 270° clockwise e 270° counterclockwise

Explanation:

Step1: Analyze 90 - degree rotations

A 90 - degree clockwise rotation (Option A) and a 90 - degree counter - clockwise rotation (Option B) can change the position of a point in a plane. Visually, by observing the relative positions of A and A', a 90 - degree rotation is a possible transformation.

Step2: Analyze 180 - degree rotation

A 180 - degree rotation (Option C) flips a point across the center of rotation. It is not consistent with the transformation from A to A' in the given diagram.

Step3: Analyze 270 - degree rotations

A 270 - degree clockwise rotation (Option D) is equivalent to a 90 - degree counter - clockwise rotation and a 270 - degree counter - clockwise rotation (Option E) is equivalent to a 90 - degree clockwise rotation.

Answer:

A. 90° clockwise, B. 90° counterclockwise