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:

Step1: Analyze the first - stage transformation

By observing the position of figure EFGH and figure E'F'G'H', we can see that figure E'F'G'H' is the reflection of figure EFGH across line k.

Step2: Analyze the second - stage transformation

Then, comparing figure E'F'G'H' and figure E''F''G''H'', we find that figure E''F''G''H'' is obtained by translating figure E'F'G'H' downwards.

Answer:

a reflection across line k followed by a translation down