Question

when a figure is rotated, does every point move the same distance? explain.
choose the correct answer below.
a. yes. when rotating a figure, the rotation indicates that each point moves the same distance, such that the angle of rotation may vary from point to point.
b. yes. since the angle of rotation is the same, the distance that each point moves is the same.
c. no. although each point is rotated through the same angle, points that are different distances from the center of rotation move different distances.
d. no. the angle of rotation is different for each point, and each point and its image are, therefore, different distances from the center of rotation, so the distance each point moves varies.

Explanation:

When a figure is rotated, all points are rotated through the same angle. But the distance a point moves during rotation depends on its distance from the center of rotation. Points farther from the center move a greater distance than those closer to the center, even though the angle of rotation is the same for all points.

Answer:

C. No. Although each point is rotated through the same angle, points that are different distances from the center of rotation move different distances.