Question

what is true about every rotation?

the image is larger than the pre - image.

the image is smaller than the pre - image.

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

the image is reduced or enlarged by a scale factor.

Explanation:

Rotations are rigid transformations, meaning they preserve the size and shape of the figure. This includes preserving distances from the center of rotation to corresponding points on the pre-image and image. Options about resizing the image describe dilations, not rotations.

Answer:

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