Download Guided Notes - Segment and Angle Addition

Geometry
Guided Notes
Segment and Angle Addition
Name: ___________________________
Date: ________________ Period: ____
____________________________________ Postulate - If B is between A and C, then AB + BC = AC.
Example 1:
3
5
Example 2: Find EF.
Example 3: Let J be between H and K. Use the segment Addition Postulate to solve for w. Find the length of each
segment.
HJ = 6w -5
JK = 4w - 6
KH = 129
__________________________________Postulate – If C is in the interior of ∡AOD, then
m∡AOC + m∡COD = m∡AOD
Example 4: Let Q be in the interior of ∡POR. Use the Angle Addition Postulate to solve for x. Find the measure
of each angle.
m∡POQ = s + 4
m∡QOR = 2s – 2
m∡POR = 26
Geometry
Guided Notes
Segment and Angle Addition
Name: ___________________________
Date: ________________ Period: ____
Example 5: B is in the interior of ∡AOC. C is in the interior of ∡BOD. D is in the interior of ∡COE.
m∡AOE = 150°, m∡BOD = 80°, m∡BOC = m∡COD, and m∡AOB = m∡DOE
a. Make a sketch (label accordingly using the information above)
b. Find the following angles:
m∡AOB
___________
m∡BOC
___________
m∡COE
___________