Question

On a number line, the coordinates of X, Y, Z. and Ware-7. -5.2, and 4, 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)

Answer 1

`XY = 2`

`ZW = 2`

XY and ZW are congruent

Explanation:

Given

`X = -7`

`Y = -5`

`Z = 2`

`W = 4`

Distance XY is calculated as thus:

`XY = |X - Y|`

`XY = |-7 - (-5)|`

`XY = |-7 + 5|`

`XY = |-2|`

`XY = 2`

Distance ZW is calculated as thus:

`ZW = |Z - W|`

`ZW = |2 - 4|`

`ZW = |-2|`

`ZW = 2`

`XY = ZW = 2`

Hence:

XY and ZW are congruent