Question

figure r was rotated about the center shown by 180°. which figure is the image of r? choose 1 answer.

Explanation:

Step1: Recall rotation property

A 180 - degree rotation about a point turns a figure upside - down. Each point of the original figure and its corresponding point in the rotated figure are on opposite sides of the center of rotation and the same distance from it.

Step2: Analyze each option

Check the orientation and position of the figure relative to the center of rotation. In a 180 - degree rotation, if we consider a point on figure R and its corresponding point on the rotated figure, they should be symmetric about the center of rotation.

Answer:

(Without seeing the actual options clearly, assume the correct option based on the above principle. If we had to pick from a set of correctly - drawn options, the one where the figure is flipped 180 degrees around the given center point would be correct. For example, if option C has the correct orientation and position relative to the center of rotation after a 180 - degree turn, then the answer is C. You need to visually inspect the options to determine the exact answer).