Question

is $overline{qr}congoverline{st}$?

Explanation:

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

The coordinates of $Q = 150$ and $R=200$. The length of $\overline{QR}=|200 - 150|=50$.

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

The coordinates of $S = 250$ and $T = 300$. The length of $\overline{ST}=|300 - 250|=50$.

Step3: Compare lengths

Since $QR = 50$ and $ST=50$, $\overline{QR}\cong\overline{ST}$.

Answer:

yes