Question

Trapezoid G H J K is rotated about G 90 degrees counterclockwise to form trapezoid G prime H prime J prime K prime. Trapezoid G prime H prime J prime K prime is reflected across the line of reflection m to form trapezoid G double-prime H double-prime J double-prime K double-prime.
What is the final transformation in the composition of transformations that maps pre-image GHJK to image G'H"J"K"?

a translation to the right
a reflection across line m
a 90° rotation about point G
a 180° rotation about point G

Answer 1

a reflection across line m

The trapezoid is first rotated 90° about G and then reflected across line m; the reflection across m is the final transformation.