Question

which rule describes the composition of transformations that maps figure pqrs to figure p\q
\s\? r∘r₁ r₁∘r_q,180° r_q,180°∘r_s,270° r_s,270°∘r_q,180°

Explanation:

Step1: Analyze the transformations

First, observe that figure PQRS is rotated 180 - degree about point Q to get an intermediate - figure. Then, this intermediate - figure is rotated 270 - degree about point S'.

Step2: Determine the composition of transformations

The notation for a composition of transformations is to apply the right - hand transformation first and then the left - hand transformation. So, the composition of transformations that maps figure PQRS to figure P''Q''R''S'' is $R_{S',270^{\circ}}\circ R_{Q,180^{\circ}}$.

Answer:

$R_{S',270^{\circ}}\circ R_{Q,180^{\circ}}$