Question

what is a reflection rule that maps each triangle and its image? the reflection rule is ( r_{1}(x,y)=square ), where the equation of line 1 is ( square ) (simplify your answers.)

Explanation:

Step1: Recall the reflection rule

The reflection rule for a line \(y = x\) is \(r_{y=x}(x,y)=(y,x)\).

Step2: Verify with sample points

Suppose we have a point \((a,b)\) in the original triangle. After reflection over \(y = x\), it becomes \((b,a)\). By checking the positions of vertices of the given triangle and its image, we can confirm the rule.

Answer:

The reflection rule is \(r_{l}(x,y)=(y,x)\) where the equation of line \(l\) is \(y = x\)