Segment Addition Postulate
1st period
Mrs. Gatlin
Jenna Flitcroft
Using Action Buttons
As you maneuver throughout the
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The last button is in the shape of a u-turn.
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What is Segment Addition Postulate?
Segment Addition Postulate
(SAP) states that if point B is
between point A and point C, then
AB + BC = AC. If AB + BC = AC,
then B is between A and C.
A B C
B is between A and C. Find the value of x and the measure of BC if:
AB = 3, BC = 4x + 1, AC = 8.
Solve for x. Plug x in and find
4x + 1 + 3 = 8 BC.
4x + 4 = 8 BC = 4x + 1
-4-4 BC = 4 (1) + 1
4x = 4 BC = 4 + 1
/4 /4 BC = 5
x=1
Y is between X and Y, find the value of x and the measure of XY. XY
= 24, YZ = 3x, XZ = 7x – 4.
Solve for x. Plug in x and find
24 + 3x = 7x – 4 XZ.
- 3x - 3x XZ = 7x – 4
24 = 4x – 4 XZ = 7 (7) – 4
+4 +4 XZ = 49 – 4
28 = 4x XZ = 45
/4 /4
7=x
Try it Out!
Try out a few practice problems to help
improve your understanding of Segment
Addition Postulate. If you answer a problem
correctly, you will automatically proceed to the
next problem. If you answer the problem
incorrectly, you will be taken back to the notes
and examples pages. (You must get both
answers right to move to the next problem.)
Good Luck!!!
If M is between L and N and LM = 2, MN = 4x + 6,
LN = 32, then find x and MN.
X= MN =
6 34
7 30
9 40
10 18
If F is between E and G and EF = 26, FG = 5x, EG
= 9x –6, find x and EG.
X= EF =
5 66
6 64
8 78
9 80
If U is between T and V and TU = 2x, UV = 26, TV
= 13x -7, find x and TU.
X= TU =
5 1
4 6
2 5
3 9
THE END!!!
Congratulations!!!
You finished the Segment Addition
Postulate tutorial!