Question

graph the image of △cde 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 coordinates of $\triangle CDE$

Let's assume $C(-7,6)$, $D(3,6)$, $E(-7,3)$.

Step3: Apply reflection rule to point C

For $C(-7,6)$, after reflection over the $x -$axis, the new point $C'$ has coordinates $(-7,- 6)$ since $x=-7$ and $y$ changes from $6$ to $-6$.

Step4: Apply reflection rule to point D

For $D(3,6)$, after reflection over the $x -$axis, the new point $D'$ has coordinates $(3,-6)$ as $x = 3$ and $y$ changes from $6$ to $-6$.

Step5: Apply reflection rule to point E

For $E(-7,3)$, after reflection over the $x -$axis, the new point $E'$ has coordinates $(-7,-3)$ as $x=-7$ and $y$ changes from $3$ to $-3$.

Step6: Graph the new triangle

Plot the points $C'(-7,-6)$, $D'(3,-6)$ and $E'(-7,-3)$ and connect them to form the reflected triangle $\triangle C'D'E'$.

Answer:

Graph the points $C'(-7,-6)$, $D'(3,-6)$ and $E'(-7,-3)$ and connect them to get the image of $\triangle CDE$ after reflection over the $x -$axis.