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Concept

Rotation

A rotation is a transformation in which a figure is turned about a fixed point by a certain angle measure The point is called the center of rotation. Rotations map every point in the plane to its image such that one of the following statements is satisfied.
  • If is the center of rotation, then and are the same point.
  • If is not the center of rotation, then and are the same distance from and has a measure of
The angle formed by a preimage, the center of rotation, and the image is called the angle of rotation and its measure is Since rotations preserve side lengths and angle measures, they are rigid motions.
Rotation of point A around center P
Usually, rotations are performed counterclockwise unless otherwise stated.