Question

which composition of transformations maps figure efgh to figure efgh? 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

Explanation:

1. Analyze the first transformation:

• Observe that figure \(EFGH\) and \(E'F'G'H'\) are mirror - images across line \(k\). A reflection across line \(k\) changes the orientation of the figure with respect to the line \(k\).

1. Analyze the second transformation:

• After the reflection (to get from \(EFGH\) to \(E'F'G'H'\)), the figure \(E'F'G'H'\) is moved down to get \(E''F''G''H''\). A translation is a slide without rotation or reflection.

Answer:

a reflection across line \(k\) followed by a translation down