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:

Step1: Analyze translation result

After translating vertex H to vertex L, we need to align the remaining parts of the triangles.

Step2: Consider rotation property

A rotation about point H can be used to align the angles and sides of the two triangles. A reflection across a line would change the orientation in a different - way and a rotation about point K is not correct as H is already translated to L.

Answer:

a rotation about point H