Question

two rigid transformations are used to map △hjk to △lmn. the first is a translation of vertex h to vertex l. what is the second transformation? a reflection across the line containing hk a rotation about point h a reflection across the line containing hj a rotation about point k

Explanation:

Rigid - transformations include translations, rotations, and reflections. After translating vertex H to vertex L, to map the rest of the triangle △HJ K to △LMN, a rotation about point H will align the sides and angles of the two triangles. A reflection across a line containing HK or HJ would change the orientation in a way that may not map the triangles correctly. Rotation about point K would not be the most logical next - step after translating H to L.

Answer:

a rotation about point H