Question

select the correct answer. which statement about rigid transformations is true? a. a rigid transformation preserves only the side lengths of a polygon. b. a rigid transformation preserves only the angle measures of a polygon. c. a rigid transformation preserves both the side lengths and the angle measures of a polygon. d. a rigid transformation preserves neither the side lengths nor the angle measures of a polygon.

Explanation:

A rigid transformation (such as translation, rotation, reflection) is a transformation that does not change the size or shape of a figure. This means it preserves both the side lengths (so the figure doesn't stretch or shrink) and the angle measures (so the shape remains the same).

• Option A is incorrect because it's not just side - lengths.
• Option B is incorrect because it's not just angle measures.
• Option D is incorrect as rigid transformations do preserve both.

Answer:

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