Question

write the coordinates of the vertices after a reflection over the x - axis.

Explanation:

Step1: Recall reflection rule

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

Step2: Identify original coordinates of point F

Assume the original coordinates of point F are $(-6,-8)$. After reflection over the $x - axis$, using the rule $(x,-y)$, the new coordinates of F are $(-6,8)$.

Step3: Identify original coordinates of point G

Assume the original coordinates of point G are $(-4,-2)$. After reflection over the $x - axis$, using the rule $(x,-y)$, the new coordinates of G are $(-4,2)$.

Step4: Identify original coordinates of point H

Assume the original coordinates of point H are $(4,-10)$. After reflection over the $x - axis$, using the rule $(x,-y)$, the new coordinates of H are $(4,10)$.

Answer:

F$(-6,8)$
G$(-4,2)$
H$(4,10)$