Question

520va v. geometry sem a geometry compositions which rule describes the composition of transformations that maps figure pqrs to figure pqrs? rl ∘ rq,180° r ∘ rl rq,180° ∘ rs,270° rs,270° ∘ rq,180°

Explanation:

Step1: Analyze the transformations

First, observe that there is a rotation about point $Q$ by $180^{\circ}$ (denoted as $R_{Q,180^{\circ}}$) which changes the orientation of the figure. Then, there is a reflection across line $l$ (denoted as $r_{l}$). In function - composition notation, we apply the rotation first and then the reflection. The composition of transformations is written as $r_{l}\circ R_{Q,180^{\circ}}$.

Answer:

$r_{l}\circ R_{Q,180^{\circ}}$