Question

which composition of transformations maps figure rstuv to figure rstuv*? a reflection across line n followed by a translation down and to the right a reflection across line n followed by a 270° rotation about point p a translation down followed by a 270° rotation about point p a translation down followed by a reflection across line n

Explanation:

Step1: Analyze the reflection

First, observe that the orientation of the figure changes in a way that is characteristic of a reflection. A reflection across line \(n\) flips the figure over the line \(n\).

Step2: Analyze the translation

After the reflection, the figure is moved (translated) down and to the right to map onto \(R''S''T''U''V''\). A rotation would change the orientation in a different manner (e.g., a \(270^{\circ}\) rotation would have a specific angular change in direction of sides which is not seen here). A translation - down - then - reflection would not give the correct final position as the order of operations (reflection first then translation) is more consistent with the visual mapping.

Answer:

a reflection across line \(n\) followed by a translation down and to the right