Describe the general properties of rotations. Include a discussion of the properties of rigid transformations, and line segments connecting corresponding points to each other and to the center of rotation.

Answer:

Rotations are rigid transformations, which means they preserve the size, length, shape, and angle measures of the original figure. The distance from the center of rotation to a point on the pre-image is equal to the distance from the center of rotation to the corresponding point on the image. However, rotations do not preserve the orientation of the figure in the plane, and the line segments connecting corresponding vertices are not parallel to each other.