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 remaining parts of the triangles correctly, we need to consider the orientation and position of the triangles. A rotation about point H can be used to align the other vertices of the triangles. Reflecting across a line may not be the most appropriate as it changes the orientation in a different way compared to the overall mapping required. Rotating about point K would not be correct as the first - step translation is based on H.

Answer:

a rotation about point H