Question

what is the final transformation in the composition of transformations that maps pre - image g h j k 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:

Step1: Analyze the first transformation

The pre - image \(GHJK\) to the middle image (the blue one adjacent to \(GHJK\)) is a \(90^{\circ}\) rotation about point \(G\).

Step2: Analyze the second transformation

The middle image (the blue one adjacent to \(GHJK\)) to the final image \(G'H''J''K''\) is a reflection across line \(m\).

Answer:

a reflection across line \(m\)