Question

On a number​ line, the coordinates of​ X, Y,​ Z, and W are ​, ​, ​, and ​, respectively. Find the lengths of the two segments below. Then tell whether they are congruent. and The length of is 3. ​(Type an integer or a​ decimal.) The length of is 2. ​(Type an integer or a​ decimal.)

Answer 1

Complete Question:

On a number​ line, the coordinates of​ X, Y,​ Z, and W are −8​, −5​, 4​, and 6​, respectively. Find the lengths of the two segments below. Then tell whether they are congruent. $\overline{XY}$ and $\overline{ZW}$

Answer:

$\overline{XY} = 3$

$\overline{ZW} = 2$

They are not congruent

Step-by-step explanation:

Length of segment XY:

Coordinate of X = -8

Coordinate of Y = -5

$\overline{XY}$ = |-8 -(-5)| = |-8 + 5| = 3

Length of ZW:

Coordinate of Z = 4

Coordinate of W = 6

$\overline{ZW}$ = |4 - 6| = 2

$\overline{XY}$ ≠ $\overline{ZW}$, therefore, they are not congruent.