Question

△abc is the image of △abc 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 properties

In a rotation, the angle of rotation is the angle between a point - to - center - of - rotation line and its image line.

Step2: Analyze the orientation

By observing the orientation of \(\triangle ABC\) and \(\triangle A'B'C'\), we can see that if we rotate \(\triangle ABC\) 90° counter - clockwise about point \(P\), it will match \(\triangle A'B'C'\). Also, a 270° clockwise rotation is equivalent to a 90° counter - clockwise rotation.

Answer:

B. 90° counterclockwise, D. 270° clockwise