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 point A

Point A has coordinates $(-2,-10)$. After reflection over the $x -$axis, the new coordinates are $(-2,10)$.

Step3: Identify point B

Point B has coordinates $(-2,-7)$. After reflection over the $x -$axis, the new coordinates are $(-2,7)$.

Step4: Identify point C

Point C has coordinates $(1,-2)$. After reflection over the $x -$axis, the new coordinates are $(1,2)$.

Step5: Identify point D

Point D has coordinates $(1,-4)$. After reflection over the $x -$axis, the new coordinates are $(1,4)$.

Answer:

A$(-2,10)$, B$(-2,7)$, C$(1,2)$, D$(1,4)$