Question

triangle fgh with vertices f(1, 8), g(5, 7), and h(2, 3) in the line y = x. 3. find the new vertices for triangle fgh using rule (y, x).

Explanation:

Step1: Apply the reflection rule

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

Step2: Find the new coordinates of $F$

For point $F(1,8)$, applying the rule $(y,x)$ gives $F'(8,1)$.

Step3: Find the new coordinates of $G$

For point $G(5,7)$, applying the rule $(y,x)$ gives $G'(7,5)$.

Step4: Find the new coordinates of $H$

For point $H(2,3)$, applying the rule $(y,x)$ gives $H'(3,2)$.

Answer:

$F'(8,1)$
$G'(7,5)$
$H'(3,2)$