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Anna35 [415]
3 years ago
10

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
Mathematics
1 answer:
saw5 [17]3 years ago
4 0

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.

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