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: Recall rigid - transformation properties

Rigid transformations include translation, rotation, and reflection. After translating vertex H to vertex L, we need to align the remaining parts of the triangles.

Step2: Analyze rotation and reflection

If we rotate about point H after translating H to L, we can align the two triangles. A reflection across a line (HK or HJ) will change the orientation in a way that may not map the triangles correctly. Rotating about point K after translating H to L will not be the correct way to map the triangles.

Answer:

a rotation about point H