Question

suppose line g is the line with equation y = x. given a(8, - 3), b(6,3), and c(- 2, - 6), what are the coordinates of the vertices of △abc for the reflection?
rg
a□
(type an ordered pair.)

Explanation:

Step1: Recall the reflection rule over \(y = x\)

When reflecting a point \((x,y)\) over the line \(y=x\), the rule is \((x,y)\to(y,x)\).

Step2: Apply the rule to point \(A(8,-3)\)

For point \(A\) with \(x = 8\) and \(y=-3\), using the rule \((x,y)\to(y,x)\), we get \(A'(-3,8)\).

Answer:

\((-3,8)\)