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 coordinates of $P$

The coordinates of $P$ are $(1,4)$. After reflection over the $x -$axis, $P'=(1, - 4)$.

Step3: Find coordinates of $Q$

The coordinates of $Q$ are $(6,4)$. After reflection over the $x -$axis, $Q'=(6,-4)$.

Step4: Find coordinates of $R$

The coordinates of $R$ are $(8,8)$. After reflection over the $x -$axis, $R'=(8,-8)$.

Step5: Find coordinates of $S$

The coordinates of $S$ are $(3,8)$. After reflection over the $x -$axis, $S'=(3,-8)$.

Answer:

$P'(1,-4)$
$Q'(6,-4)$
$R'(8,-8)$
$S'(3,-8)$