Question

which statements are true? choose three correct answers. rotations preserve the size, length, shape, and angle measures of the figure. line segments connecting the center of rotation to a point on the pre - image and the corresponding point on the image have equal length. rotations are rigid transformations. the line segments connecting corresponding vertices are parallel. rotations also preserve the orientation

Explanation:

1. Rotations are rigid transformations which preserve the size, length, shape, and angle measures of a figure. So the statement "Rotations preserve the size, length, shape, and angle measures of the figure" is true.
2. In a rotation, the distance from the center of rotation to a point on the pre - image is the same as the distance from the center of rotation to the corresponding point on the image. So "Line segments connecting the center of rotation to a point on the pre - image and the corresponding point on the image have equal length" is true.
3. Rotations are rigid transformations as they do not change the size and shape of the figure. So "Rotations are rigid transformations" is true. The line segments connecting corresponding vertices are not always parallel in a rotation. Also, rotations change the orientation of the figure.

Answer:

• Rotations preserve the size, length, shape, and angle measures of the figure.
• Line segments connecting the center of rotation to a point on the pre - image and the corresponding point on the image have equal length.
• Rotations are rigid transformations.