Question

what is true about every rotation?
the image is larger than the pre - image.
the corresponding lengths, from the point of rotation, between the pre - image and image are preserved.
the image is smaller than the pre - image.
the image is reduced or enlarged by a scale factor.

Explanation:

A rotation is a rigid transformation. Rigid transformations preserve the shape and size of the pre - image. The distance from the point of rotation to any point on the pre - image is the same as the distance from the point of rotation to the corresponding point on the image. This means corresponding lengths from the point of rotation are preserved. Rotations do not change the size (no enlargement or reduction), so the image is not larger, smaller, or changed by a scale factor compared to the pre - image.

Answer:

The corresponding lengths, from the point of rotation, between the pre - image and image are preserved.