Question

figure efgh is reflected across the x - axis to form figure efgh
what are the coordinates of the vertices of figure efgh?
label the vertices with the correct ordered pairs?
e(
f(
g(
h(

Explanation:

Step1: Recall reflection rule

When a point $(x,y)$ is reflected across the $x - axis$, the rule is $(x,y)\to(x, - y)$.

Step2: Find coordinates of $E'$

Assume the coordinates of $E$ are $(1,-2)$. Using the reflection rule, for $E'$ we have $x = 1$ and $y= -(-2)=2$. So $E'=(1,2)$.

Step3: Find coordinates of $F'$

Suppose the coordinates of $F$ are $(3,-2)$. After reflection, for $F'$ we get $x = 3$ and $y=-(-2)=2$. So $F'=(3,2)$.

Step4: Find coordinates of $G'$

If the coordinates of $G$ are $(3,-4)$. After reflection, for $G'$ we have $x = 3$ and $y=-(-4)=4$. So $G'=(3,4)$.

Step5: Find coordinates of $H'$

Assume the coordinates of $H$ are $(1,-4)$. After reflection, for $H'$ we get $x = 1$ and $y=-(-4)=4$. So $H'=(1,4)$.

Answer:

$E'(1,2)$
$F'(3,2)$
$G'(3,4)$
$H'(1,4)$