Question

Which statement about rigid transformations is true?. . A rigid transformation preserves only the side lengths of a polygon.. . A rigid transformation preserves only the angle measures of a polygon.. . A rigid transformation preserves both the side lengths and the angle measures of a polygon.. . A rigid transformation preserves neither the side lengths nor the angle measures of a polygon.

Answer 1

A rigid transformation is a transformation of the plane that preserves length. In a rigid transformation the initial shape and the image shape are congruent.

Main properties: 
1. distance (lengths of segments remain the same)
2. angle measures (remain the same)
3. parallelism (parallel lines remain parallel)
4. collinearity (points remain on the same lines)
5. orientation (lettering order remains the same)

Taking these properties into account, the correct choice is C.

Answer 2

Answer: A rigid transformation preserves both the side lengths and the angle measures of a polygon.

Step-by-step explanation:

• Rigid transformations are the transformations which does not affect the size  and the shape of figure . The figure doesn't shrink or get enlarger.

Thus, it doesn't affect the side length or the angle measurement of the figure .

There are four rigid transformations such as :

a)reflections, b) rotations, c) translations and d) glide reflection.

Hence, the right statement from all the given statements is "it preserves both the side lengths and the angle measures of a polygon."