Question

what is the final transformation in the composition of transformations that maps pre - image ghjk to image ghjk?
a translation to the right
a reflection across line m
a 90° rotation about point g
a 180° rotation about point g

Explanation:

First, identify the sequence: the pre-image GHJK (blue bottom) is first rotated 90° about point G to get the middle blue figure. Then, this middle figure is reflected across line m to reach the final image G'H''J''K'' (top left). The question asks for the final transformation in this composition, which is the reflection across line m.

Answer:

b. a reflection across line m