Question

graph triangle abc with a(-7, 1), b(-5, 6), c(-1, 3), and its image after a reflection in the x - axis. what are the coordinates of c?

Explanation:

Step1: Recall reflection rule

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

Step2: Apply rule to point C

The original point $C$ has coordinates $(-1,3)$. Using the reflection rule, for $x=-1$ and $y = 3$, the new $y$-coordinate is $-3$ while the $x$-coordinate remains the same. So the new coordinates of $C$ are $(-1,-3)$.

Answer:

$(-1,-3)$