Question

On a number​ line, the coordinates of​ X, Y,​ Z, and W are negative 7​, negative 2​, 1​, and 6​, respectively. Find the lengths of the two segments below. Then tell whether they are congruent.

XY overbar and ZW overbar?

PLEASE HELP MEE

Answer 1

On a number line, the length of a segment is the absolute value of the difference of the coordinates. So, if point
`X` has coordinate
`a` and point
`Y` has coordinate
`b`, we have

`\overline{XY} = |a-b|`

So, you have

`\overline{XY} = |-7-(-2)| = |-7+2| = |-5| = 5`

`\overline{ZW} = |1-6| = |-5| = 5`

So, yes, they are congruent.