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Use the diagram to find GH. FH. =. FG + GH. 36. 21 + GH. =. 15. GH. =. 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. - PowerPoint PPT Presentation
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EXAMPLE 3 Find a length
Use the diagram to find GH.
Use the Segment Addition Postulate to write an equation. Then solve the equation to find GH.
SOLUTION
Segment Addition Postulate.
Substitute 36 for FH and 21 for FG.
Subtract 21 from each side.
21 + GH=36
FG + GH=FH
=15 GH
EXAMPLE 4 Compare segments for congruence
SOLUTION
To find the length of a horizontal segment, find the absolute value of the difference of the x-coordinates of the endpoints.
Use Ruler Postulate.JK = 2 – (– 3) = 5
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.
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.LM = – 2 – 3 = 5
JK and LM have the same length. So, JK LM.=~
ANSWER
GUIDED PRACTICE for Examples 3 and 4
5. Use the diagram to find WX.
107ANSWER
No.ANSWER
Plot the points A(– 2, 4), B(3, 4), C(0, 2), and D(0, – 2) in a coordinate plane. Then determine whether AB and CD are congruent.
6.