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:

1. First, observe that figure R'S'T'U'V' is a mirror image of RSTUV across line \(n\), so the first transformation is a reflection across line \(n\).
2. Next, compare R'S'T'U'V' to R''S''T''U''V'': a 270° rotation about point \(P\) (equivalent to a 90° clockwise rotation) will map the reflected figure to the final figure. Other options do not match the orientation and position of R''S''T''U''V''.

Answer:

a reflection across line \(n\) followed by a 270° rotation about point \(P\)