which composition of transformations maps figure efgh to figure efgh?\n○ a reflection across line k followed…

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

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

Answer

Brief Explanations:

First, observe that figure EFGH is reflected across vertical line (k) to get (E'F'G'H') (the orientation of vertices is mirrored across (k)). Then, this reflected figure is translated straight down to reach (E''F''G''H''). Checking other options: reversing the order (translation first then reflection) would place the final figure incorrectly; 180° rotation options do not match the mirrored orientation seen in the intermediate and final figures.

Answer:

a. a reflection across line k followed by a translation down