Which statement about rigid transformations is true?

a.) a rigid transformation preserves only the side lengths of a polygon.

b.)rigid transformation preserves only the angle measures of a polygon.

c.) rigid transformation preserves both the side lengths and the angle measures of a polygon.

d.) rigid transformation preserves neither the side lengths nor the angle measures of a polygon.

C.) rigid transformation preserves both the side lengths and the angle measures of a polygon.

Step-by-step explanation:

Rigid transformations which is also known as isometry are the transformations which does not affect the size of the shape. The shape doesn't shrink or get enlarger.

There are four rigid transformations: reflections, rotations, translations and glide reflection.

Thus, it preserves both the side lengths and the angle measures of a polygon.

Hence, C is the right option.