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: Find new coordinates of point $P$

The coordinates of $P$ are $(1,- 10)$. After reflection over the $x -$axis, the new coordinates are $(1,10)$.

Step3: Find new coordinates of point $Q$

The coordinates of $Q$ are $(1,-2)$. After reflection over the $x -$axis, the new coordinates are $(1,2)$.

Step4: Find new coordinates of point $R$

The coordinates of $R$ are $(7,-2)$. After reflection over the $x -$axis, the new coordinates are $(7,2)$.

Step5: Find new coordinates of point $S$

The coordinates of $S$ are $(7,-10)$. After reflection over the $x -$axis, the new coordinates are $(7,10)$.

Answer:

$P(1,10)$, $Q(1,2)$, $R(7,2)$, $S(7,10)$