Question

triangle abc is transformed to create triangle mnl. which statement is true? the transformation is rigid because corresponding side lengths and angles are congruent. the transformation is rigid because corresponding side lengths are congruent and corresponding angles are not congruent. the transformation is nonrigid because the two triangles have different names. the transformation is nonrigid because the three sides and the three angles in each triangle have different measures.

Explanation:

A rigid transformation (isometry) preserves side - lengths and angles. If corresponding side lengths and angles of two triangles are congruent, the transformation is rigid. In a non - rigid transformation, side lengths or angles change. Just having different names for triangles has no bearing on whether the transformation is rigid or non - rigid.

Answer:

The transformation is rigid because corresponding side lengths and angles are congruent.