Find a length

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EXAMPLE 3
Find a length
SOLUTION
Use the Segment Addition Postulate to write an
equation. Then solve the equation to find GH.
Segment Addition Postulate.
Substitute 36 for FH and 21 for FG.
Subtract 21 from each side.
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EXAMPLE 4
Compare segments for congruence
Plot J( 3, 4), K(2, 4), L(1, 3), and M(1, 2)
in a coordinate plane. Then determine whether JK
and LM are congruent.
SOLUTION
Use Ruler Postulate.
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EXAMPLE 4
Compare segments for congruence
To find the length of a vertical segment, find
the absolute value of the difference of the
y-coordinates of the endpoints.
Use Ruler Postulate.
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for Examples 3 and 4
GUIDED PRACTICE
Use the segment addition postulate to write an
equation. Then solve the equation to find WX
SOLUTION
vx vw wx
Segment addition postulate
Substitute 37 for vw and 144 for vx
Subtract 37 from each side
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for Examples 3 and 4
GUIDED PRACTICE
6.