Question

is $overline{st}$ congruent to $overline{tu}$?
s 5
t 15
u 20
0 10
yes
no

Explanation:

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

The coordinates of $S = 5$ and $T=15$. The length of $\overline{ST}$ is $|15 - 5|=10$.

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

The coordinates of $T = 15$ and $U = 20$. The length of $\overline{TU}$ is $|20 - 15| = 5$.

Step3: Compare lengths

Since $10
eq5$, $\overline{ST}$ is not congruent to $\overline{TU}$.

Answer:

no