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 rotation about point k, a reflection across the line containing hk, a reflection across the line containing hj, a rotation about point h

Explanation:

After translating vertex H to L, the second rigid transformation must map the translated △HJK to △LMN. Since rigid transformations preserve shape and size, and assuming corresponding sides/angles are congruent, a rotation about the translated point (now L, originally H) aligns the remaining vertices. The most likely second transformation is a rotation about point H (now L).

Answer:

a rotation about point H