Question

suppose line g is the line with equation y = x. given a(9, - 5), b(6,4), 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 reflection rule

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

Step2: Reflect point A

For point $A(9,-5)$, applying the rule, we get $A'(-5,9)$.

Step3: Reflect point B

For point $B(6,4)$, applying the rule, we get $B'(4,6)$.

Step4: Reflect point C

For point $C(-2,-6)$, applying the rule, we get $C'(-6,-2)$.

Answer:

$A'(-5,9)$