For the transformation to be defined as a rotation, which statements must be true? Choose three correct answers.

A rotation preserves the distance from the center of rotation to every point, so the segment lengths in A are equal. It is a rigid transformation, meaning it preserves lengths and angle measures, as stated in B. Every point turns through the same angle around the center, which is the defining motion described in C. A rotation does not generally make CP parallel to CP′ or map a figure onto itself after a 180-degree turn.

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