Question

Trapezoid E F G H is reflected across line of reflection k to form trapezoid E prime F prime G prime H prime. Trapezoid E prime F prime G prime H prime is shifted down to E double-prime F double-prime G double-prime H double-prime.
Which composition of transformations maps figure EFGH to figure E"F"G"H"?

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

Answer 1

A reflection across line k followed by a translation down.

Explanation: EFGH is first reflected across k to give E'F'G'H', then that image is translated down to give E''F''G''H''. The order of operations must match the description.