Quadrilaterals PQRS and P′Q′RS′ are shown below.

Question

Which series of transformations can be used to show that PQRS is similar to P′Q′RS′?

A. a 90° clockwise rotation about R followed by a dilation through R by scale factor P′Q/PQ
B. a reflection across a vertical line passing through R followed by a dilation through R by a scale factor of PQ/P′Q′
C. a reflection across a vertical line passing through R followed by a dilation through R by a scale factor of P′Q′/PQ
D. a 90° clockwise rotation about R followed by a dilation through R by scale factor PQ/P′Q

Answer 1

B. a reflection across a vertical line passing through R followed by a dilation through R by a scale factor of PQ/P′Q′