Question

What set of reflections would carry trapezoid ABCD onto itself?

A. x-axis, y=x, y-axis, x-axis

B. x-axis, y-axis, x-axis

C. y=x, x-axis, x-axis

D. y-axis, x-axis, y-axis, x-axis

Answer 1

A

Explanation:

Answer 2

D

Explanation:

y-axis reflection transform from (h,k) to (-h,k)

x-axis reflection transform from (h,k) to (h,-k)

Sequence y-axis, x-axis, y-axis, x-axis reflections gives

(h,k) -> (-h,k) -> (-h,-k) -> (h,-k) -> (h,k)

Notice that this result is valid for any figure