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: Observe orientation change

By observing the orientation of $\triangle ABC$ and $\triangle A'B'C'$, we can see that the rotation is counter - clockwise.

Step2: Analyze angle of rotation

If we consider the relationship between corresponding points and the center of rotation $P$, we can find that the angle of rotation is $90^{\circ}$ counter - clockwise. Also, a $270^{\circ}$ clockwise rotation is equivalent to a $90^{\circ}$ counter - clockwise rotation.

Answer:

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