Question

1. a 90° rotation about the origin maps △pqr to △lmn. are the triangles congruent? explain.

Explanation:

A rotation is a rigid transformation. Rigid transformations preserve side - lengths and angle - measures. Since a 90° rotation about the origin is a rigid transformation that maps △PQR to △LMN, the corresponding sides and angles of the two triangles are equal.

Answer:

Yes, the triangles are congruent because a rotation is a rigid transformation which preserves congruence.