Question

is $overline{rs}$ congruent to $overline{tu}$?
(there is a number line with points r at -8, s at -6, t at -4, u at -2, and a -10 mark on the left. below are two buttons: yes and no, with a hand pointing to no.)

Explanation:

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

The coordinates of \( R \) is \(-8\) and \( S \) is \(-6\). The length of a segment on a number line is \( |x_2 - x_1| \). So, \( RS = | -6 - (-8) | = | -6 + 8 | = |2| = 2 \).

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

The coordinates of \( T \) is \(-4\) and \( U \) is \(-2\). Using the same formula, \( TU = | -2 - (-4) | = | -2 + 4 | = |2| = 2 \).

Step3: Compare lengths

Since \( RS = 2 \) and \( TU = 2 \), their lengths are equal. Congruent segments have equal lengths.

Answer:

yes