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 a rigid transformation

A rigid transformation (translation, rotation, reflection) preserves side - lengths and angles.

Step2: Analyze the side - lengths and angles

From the figure, we can assume (by the markings on the sides and angles) that all side lengths and angles of the two triangles are congruent. A rigid transformation does not change the shape and size (i.e., side - lengths and angles) of a figure.

Answer:

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