Question

is $overline{su}congoverline{tv}$?

Explanation:

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

Find the distance between $S(-2)$ and $U(1)$. Use the distance formula $d = |x_2 - x_1|$. So, $|1-(-2)|=|1 + 2|=3$.

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

Find the distance between $T(-1)$ and $V(2)$. Use the distance formula $d=|x_2 - x_1|$. So, $|2-(-1)|=|2 + 1|=3$.

Step3: Compare lengths

Since the length of $\overline{SU}=3$ and the length of $\overline{TV}=3$, $\overline{SU}\cong\overline{TV}$.

Answer:

yes