Question

which composition of transformations maps figure efgh to figure efgh? a reflection across line k followed by a translation down a translation down followed by a reflection across line k a 180° rotation about point g followed by a translation to the right a translation to the right followed by a 180° rotation about point g

Explanation:

First, observe the orientation - figure EFGH is flipped across line k to get an intermediate figure. Then, this intermediate figure is moved down to get E"F"G"H". A reflection changes the orientation across a line and a translation moves the figure without changing its orientation.

Answer:

a reflection across line k followed by a translation down