Question

△abc is the image of △abc under a rotation about point b. 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

A rotation of \(90^{\circ}\) counter - clockwise is equivalent to a rotation of \(270^{\circ}\) clockwise.

Step2: Analyze the direction and angle

By observing the position of \(\triangle ABC\) and \(\triangle A'B'C'\) relative to point \(B\), we can see that the rotation is \(90^{\circ}\) counter - clockwise (or \(270^{\circ}\) clockwise).

Answer:

B. \(90^{\circ}\) counterclockwise, D. \(270^{\circ}\) clockwise