Question

11 fill in the blank 6 points reflect triangle fgh with vertices f(1,8), g(5,7), and h(2,3) across y = x f( type your answer_, type your answer_) g( type your answer_, type your answer_) h( type your answer_, type your answer_)

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ across the line $y = x$, the coordinates are swapped, so the new point is $(y,x)$.

Step2: Find $F'$

For point $F(1,8)$, after reflection across $y = x$, the new coordinates are $(8,1)$.

Step3: Find $G'$

For point $G(5,7)$, after reflection across $y = x$, the new coordinates are $(7,5)$.

Step4: Find $H'$

For point $H(2,3)$, after reflection across $y = x$, the new coordinates are $(3,2)$.

Answer:

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