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.

Explanation:

Rotations are a type of rigid - transformation. In a rotation, the shape and size of the figure remain the same (properties of rigid transformation). The distance from each point on the pre - image to the center of rotation is equal to the distance from the corresponding point on the image to the center of rotation. The line segments connecting corresponding points to the center of rotation have equal lengths. Also, the angles formed by the line segments connecting corresponding points to the center of rotation are equal to the angle of rotation. The line segments connecting corresponding points to each other are related in that they are congruent.

Answer:

Rotations are rigid transformations that preserve shape and size. Distances from pre - image and image points to the center of rotation are equal. Angles formed by corresponding - point - to - center - of - rotation line segments equal the rotation angle. Line segments connecting corresponding points are congruent.