Question

is $overline{fg}congoverline{de}$? yes no

Explanation:

Step1: Calculate length of $\overline{FG}$

The coordinates of $F = 2$ and $G=4$. Using the distance formula for a number - line $d = |x_2 - x_1|$, we have $|\ 4 - 2|=2$.

Step2: Calculate length of $\overline{DE}$

The coordinates of $D=-1$ and $E = 1$. Using the distance formula for a number - line $d = |x_2 - x_1|$, we have $|1-(-1)|=|1 + 1|=2$.

Step3: Compare lengths

Since the length of $\overline{FG}=2$ and the length of $\overline{DE}=2$, $\overline{FG}\cong\overline{DE}$.

Answer:

yes