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

Let's assume the original coordinates of point $A$ are $(3,5)$, of point $B$ are $(7,6)$, of point $C$ are $(4,8)$ and of point $D$ are $(2,7)$.

Step3: Apply reflection rule to point A

For point $A(3,5)$, after reflection over the $x - axis$, the new coordinates are $(3,- 5)$.

Step4: Apply reflection rule to point B

For point $B(7,6)$, after reflection over the $x - axis$, the new coordinates are $(7,-6)$.

Step5: Apply reflection rule to point C

For point $C(4,8)$, after reflection over the $x - axis$, the new coordinates are $(4,-8)$.

Step6: Apply reflection rule to point D

For point $D(2,7)$, after reflection over the $x - axis$, the new coordinates are $(2,-7)$.

Answer:

$A(3,-5), B(7,-6), C(4,-8), D(2,-7)$ (assuming original coordinates as in Step 2. If you provide actual original coordinates from the grid, we can give more accurate final answer based on those)