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 (overline{lk}) a reflection across the line containing (overline{jk}) a rotation about point l a rotation about point k

Explanation:

After translating vertex L to vertex Q, to map △JKL to △MNQ, we need to rotate △JKL about point L so that the other vertices and sides match up correctly. A reflection across the lines containing LK or JK would not align the triangles as needed. Rotating about point K would not work as well as rotating about the already - translated point L.

Answer:

a rotation about point L