Question

two rigid transformations are used to map δhjk to δlmn. 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, a rotation about point H can be used to align the two triangles as the angles and side - lengths are preserved in rigid transformations. A reflection across a line would change the orientation in a different way than what is typically required after a translation to map one triangle to another in this context. Rotation about point K or reflections across HK or HJ are less likely to achieve the mapping as effectively as rotation about point H after the given translation.

Answer:

a rotation about point H