Question

what is a reflection rule that maps the triangle and its image? the reflection rule is $r_t(x,y)=square$, where $t$ is the line $square$ (type an equation.)

Explanation:

Step1: Identify the line of reflection

By observing the graph, we can see that the line of reflection is \(y = -x\). The rule for reflection over the line \(y=-x\) is \((x,y)\to(-y,-x)\).

Answer:

\(r_{l}(x,y)=(-y, -x)\), where \(l\) is the line \(y = -x\)