which rule describes the composition of transformations that maps figure pqrs to figure pqrs?\n○ r∘r₁\n○…

Explanation:

Step1: Analyze the transformations

First, observe that figure PQRS is rotated 180° about point Q to get an intermediate - figure P'Q'R'S'. Then, the intermediate - figure is rotated 270° about point S' to get figure P''Q''R''S''. The notation for rotation 180° about point Q is (R_{Q,180^{\circ}}) and for rotation 270° about point S' is (R_{S',270^{\circ}}). In a composition of transformations (A\circ B), we first perform transformation (B) and then transformation (A). 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}})