Question

is $overline{df}congoverline{eg}$? yes no

Explanation:

Step1: Calculate the length of $\overline{DF}$

The coordinates of $D = 2$ and $F=5$. Using the distance formula on a number - line $d = |x_2 - x_1|$, we have $DF=|5 - 2|=3$.

Step2: Calculate the length of $\overline{EG}$

The coordinates of $E = 4$ and $G = 7$. Using the distance formula on a number - line $d=|x_2 - x_1|$, we have $EG=|7 - 4| = 3$.

Step3: Compare the lengths

Since $DF = 3$ and $EG = 3$, we can say $\overline{DF}\cong\overline{EG}$.

Answer:

yes