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

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.