Question

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 1

Answer:

A rotation map line to line,a ray to ray,a segment to segment

a rotation preserve length of segment

a rotation preserve degree of angle

Answer 2

Answer:

Rotations are rigid transformations, which means they preserve the size, length, shape, and angle measures of the figure. However, the orientation is not preserved. Line segments connecting the center of rotation to a point on the pre-image and the corresponding point on the image have equal length. The line segments connecting corresponding vertices are not parallel.