The correct answer is:
The distance from each point in the figure to the center of rotation is preserved.
Step-by-step explanation:
A rigid transformation is a transformation that preserves congruence. It keeps the angles and sides the same size.
The rigid transformations are translations, reflections and rotations. Of these three, rotations are the only ones with a center of rotation; therefore they are the only ones that will preserve the distance from each point to the center of rotation.