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 preserve shape and size. After translating H to L, a rotation about point L (or the corresponding mapped point) would align the rest of the triangle, but since the options include rotation about point K, assuming the translation maps H to L and aligns vertices such that rotating about K (or the mapped K) completes the mapping. Among the options, rotation about point K is the most plausible rigid transformation to finish mapping ΔHJK to ΔLMN after translation.

Answer:

D. a rotation about point K