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

Answer:

$XY = 2$

$ZW = 2$

XY and ZW are congruent

Step-by-step 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