Segment Addition Postulate

1
Segment Addition Postulate

• 1st period
• Mrs. Gatlin
• Jenna Flitcroft

2
Using Action Buttons

• As you maneuver throughout the PowerPoint
  presentation you will encounter three types of
  buttons. Two of the buttons are arrows one
  pointing to the left (go to the previous slide)
  and one pointing to the right (go to the next
  slide). The last button is in the shape of a
  u-turn. This button will take you to the last
  slide that you visited.

3
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.

4
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.
• 4x 1 3 8
• 4x 4 8
• - 4 - 4
• 4x 4
• /4 /4
• x 1

• Plug x in and find BC.
• BC 4x 1
• BC 4 (1) 1
• BC 4 1
• BC 5

5
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.
• 24 3x 7x 4
• - 3x - 3x
• 24 4x 4
• 4 4
• 28 4x
• /4 /4
• 7 x

• Plug in x and find XZ.
• XZ 7x 4
• XZ 7 (7) 4
• XZ 49 4
• XZ 45

6
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!!!

7
If M is between L and N and LM 2, MN 4x 6,
LN 32, then find x and MN.

• X
• 6
• 7
• 9
• 10

• MN
• 34
• 30
• 40
• 18

8
If F is between E and G and EF 26, FG 5x, EG
9x 6, find x and EG.

• X
• 5
• 6
• 8
• 9

• EF
• 66
• 64
• 78
• 80

9
If U is between T and V and TU 2x, UV 26, TV
13x -7, find x and TU.

• X
• 5
• 4
• 2
• 3

• TU
• 1
• 6
• 5
• 9

10
THE END!!!

• Congratulations!!!
• You finished the Segment Addition Postulate
  tutorial!