Question

which statement about the transformation is true? it is rigid because all side lengths and angles are congruent. it is rigid because no side lengths or angles are congruent. it is nonrigid because all side lengths are congruent. it is nonrigid because no side lengths or angles are congruent.

Explanation:

Step1: Recall the definition of rigid transformation

A rigid transformation (like translation, rotation, reflection) preserves side - lengths and angles. If two figures are congruent (i.e., all corresponding side - lengths and angles are equal), the transformation between them is rigid.

Step2: Analyze the given triangles

Since the two triangles (with vertices \(R, S, Q\) and \(R',S',Q'\)) have congruent side - lengths (shown by the tick marks) and congruent angles (implied by the nature of rigid transformations that preserve shape and size). A non - rigid transformation (like a dilation which changes size) would change side - lengths. But here, since side - lengths and angles are congruent (preserved), it is a rigid transformation.

Answer:

It is rigid because all side lengths and angles are congruent.