Question

is $overline{qr}$ congruent to $overline{st}$?

Explanation:

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

The coordinates of $Q = 0$ and $R=20$. The length of $\overline{QR}$ is $|20 - 0|=20$.

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

The coordinates of $S = 80$ and $T = 100$. The length of $\overline{ST}$ is $|100 - 80|=20$.

Step3: Compare lengths

Since the length of $\overline{QR}=20$ and the length of $\overline{ST}=20$, they are congruent.

Answer:

yes