Question

is $overline{tv}$ congruent to $overline{uw}$?
t: -800, u: -750, v: -700, w: -600
options: yes, no

Explanation:

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

To find the length of $\overline{TV}$, we subtract the coordinate of \( T \) from the coordinate of \( V \). The coordinate of \( T \) is \(-800\) and the coordinate of \( V \) is \(-700\). So, the length is \( | -700 - (-800) | = | -700 + 800 | = |100| = 100 \).

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

To find the length of $\overline{UW}$, we subtract the coordinate of \( U \) from the coordinate of \( W \). The coordinate of \( U \) is \(-750\) and the coordinate of \( W \) is \(-600\). So, the length is \( | -600 - (-750) | = | -600 + 750 | = |150| = 150 \).

Step3: Compare the lengths

Since \( 100
eq150 \), the segments $\overline{TV}$ and $\overline{UW}$ are not congruent.

Answer:

no