Question

two rigid transformations are used to map △jkl to △mnq. the first is a translation of vertex l to vertex q. what is the second transformation? a reflection across the line containing lk a reflection across the line containing jk a rotation about point l a rotation about point k

Explanation:

After translating vertex L to Q, the remaining transformation to map △JKL to △MNQ is determined by aligning the other vertices. Reflecting across the line containing $\overline{LK}$ (now $\overline{QK}$ after translation) would map the translated vertices to their corresponding positions in △MNQ, preserving the rigid transformation properties.

Answer:

a reflection across the line containing $\overline{LK}$