Question

is $overline{de}$ congruent to $overline{fg}$?
0 2 4 6 8 10
d e f g
yes
no

Explanation:

Step1: Calculate length of DE

The coordinates of D is 4 and E is 6. The length of $\overline{DE}=|6 - 4|=2$.

Step2: Calculate length of FG

The coordinates of F is 8 and G is 10. The length of $\overline{FG}=|10 - 8|=2$.

Step3: Compare lengths

Since $DE = FG=2$, the segments are congruent.

Answer:

yes