Question

1. on graph paper, graph $delta abc$ with vertices $a(-2,7)$, $b(-5,8)$, and $c(-3,1)$. reflect $delta abc$ across the $x$-axis to form $delta abc$. name the coordinates of each new vertex.

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ across the $x - axis$, the rule is $(x,y)\to(x, - y)$.

Step2: Find coordinates of $A'$

For point $A(-2,7)$, applying the rule: $A'(-2,-7)$.

Step3: Find coordinates of $B'$

For point $B(-5,8)$, applying the rule: $B'(-5,-8)$.

Step4: Find coordinates of $C'$

For point $C(-3,1)$, applying the rule: $C'(-3,-1)$.

Answer:

$A'(-2,-7)$, $B'(-5,-8)$, $C'(-3,-1)$