Question

graph triangle ghi with g(-9, -1), h(-3, -4), i(-5, -9), and its image after a reflection in the line y = -x. what are the coordinates of h?

Explanation:

Step1: Recall reflection rule

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

Step2: Apply rule to point H

For point $H(-3,-4)$, we substitute $x=-3$ and $y = - 4$ into the rule.
We get $(-(-4),-(-3))$.

Step3: Simplify coordinates

$-(-4)=4$ and $-(-3)=3$. So the coordinates of $H'$ are $(4,3)$.

Answer:

$(4,3)$