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: Recall rotation rules

A 90 - degree clock - wise rotation $(x,y)\to(y, - x)$ about the origin. Visualize the rotation of point A to A' about point P. A 90 - degree clockwise rotation can map A to A'. A 270 - degree counter - clockwise rotation is equivalent to a 90 - degree clockwise rotation since $360 - 270=90$.

Step2: Analyze other angles

A 180 - degree rotation would place the point in the opposite direction. A 90 - degree counter - clockwise and 270 - degree clockwise rotations would not map A to A' as per the given figure.

Answer:

A. 90° clockwise, D. 270° counterclockwise