Question

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

Explanation:

Step1: Analyze the reflection pattern

To find the reflection rule, we can look at the coordinates of corresponding points. Let's assume a general point \((x,y)\) and its image after reflection.

Step2: Check the relationship between coordinates

By observing the graph, we can see that the reflection swaps the \(x\) and \(y\) coordinates. So the reflection rule is \(r(x,y)=(y,x)\) and it is a reflection over the line \(y = x\).

Answer:

The reflection rule is \(r(x,y)=(y,x)\) where \(t\) is the line \(y=x\).