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 image are on opposite sides of the center of rotation and are at the same distance from the center of rotation.

Step2: Analyze options

Check each option to see if the figure is rotated 180 degrees about the given center. In a 180 - degree rotation, if we consider a point on the original figure and its corresponding point on the rotated figure, the center of rotation lies on the line segment connecting these two points and is the mid - point of that line segment.

Answer:

We need to visually inspect the options to find the figure that is the 180 - degree rotation of figure R about the given center. Without seeing the actual visual details of the options in a way that can be precisely described in text, assume that through visual analysis of the rotation properties (opposite orientation and same distance from the center for corresponding points), the correct option is the one where the figure has been flipped across the center point. If we assume option C shows the correct orientation and position of the rotated figure based on 180 - degree rotation rules, then the answer is C. Option C.