A rotation is a transformation in which a figure is turned about a fixed pointP. The number of degrees the figure rotates α∘ is the angle of rotation. The fixed point P is called the center of rotation. Rotations map every point A in the plane to its imageA′ such that one of the following statements is satisfied.
If A is the center of rotation, then A and A′ are the same point.
If A is not the center of rotation, then A and A′ are equidistant from P, with ∠APA′ measuring α∘.
Rotations are usually performed counterclockwise unless stated otherwise.
Since rotations preserve side lengths and angle measures, they are rigid motions.
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