When a figure is rotated, does every point move the same distance? Explain. Choose the correct answer below.
O 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
OB. 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.
O C. Yes. Since the angle of rotation is the same, the distance that each point moves is the same.
OD. No. Although each point is rotated through the same angle, points that are different distances from the center of rotation move different distances.
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D. No. Although each point is rotated through the same angle, points that are different distances from the center of rotation move different distances.

Step-by-step explanation:

Rotation is a type of transformation which involves turning a given figure about a reference point to produce its image. This would produce an image with the same size as the object.

A given figure or shape has different parts or points. Since each point on the figure is at different distance to the reference point, thus they do not cover the same distance but move through the same angle of rotation. Each individual point move through the same angle but do not cover the same distance during rotation.

Therefore, the appropriate option is D.

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