For the transformation to be defined as a rotation, which statements must be true? Select three options.

For the transformation to be defined as a rotation, which statements must be true? Check all that apply.

A) The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2).

B) The transformation is rigid.

C) Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2.

D) Segment CP is parallel to segment CP'.

E) If figure 1 is rotated 360° about point C, it will be mapped onto itself.

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