Question

on a number line, the coordinates of x, y, z, and w are - 6, - 2, 4, and 9, respectively. find the lengths of the two segments below. then tell whether they are congruent.
xy and zw
the length of xy is (type an integer or a decimal.)
the length of zw is (type an integer or a decimal.)
are the segments xy and zw congruent?
yes
no

Explanation:

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

Use the formula $|y - x|$. Here $x=-6$ and $y = - 2$. So $| - 2-(-6)|=| - 2 + 6|=|4| = 4$.

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

Use the formula $|w - z|$. Here $z = 4$ and $w=9$. So $|9 - 4|=|5| = 5$.

Step3: Check congruence

Congruent segments have equal lengths. Since $4
eq5$, $\overline{XY}$ and $\overline{ZW}$ are not congruent.

Answer:

The length of $\overline{XY}$ is $4$.
The length of $\overline{ZW}$ is $5$.
No