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 (-3,8)
(type an ordered pair.)
b
(type an ordered pair.)

Explanation:

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

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 \(B(6,3)\)

For point \(B\) with \(x = 6\) and \(y=3\), using the rule \((x,y)\to(y,x)\), we get \(B'\) as \((3,6)\).

Answer:

\((3,6)\)