segment addition postulate 1st period mrs. gatlin jenna flitcroft

Segment Addition Segment Addition PostulatePostulate

11stst period period

Mrs. GatlinMrs. Gatlin

Jenna FlitcroftJenna Flitcroft

Using Action ButtonsUsing Action Buttons

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

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.4x + 1 + 3 = 84x + 4 = 8

- 4 - 4 4x = 4 /4 /4 x = 1

Plug x in and find BC.BC = 4x + 1BC = 4 (1) + 1BC = 4 + 1BC = 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 - 3x24 = 4x – 4+ 4 + 428 = 4x/4 /47 = x

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

Try it Out!Try it Out!

Try out a few practice problems to help Try out a few practice problems to help improve your understanding of Segment Addition improve your understanding of Segment Addition Postulate. If you answer a problem correctly, you Postulate. If you answer a problem correctly, you will automatically proceed to the next problem. If will automatically proceed to the next problem. If you answer the problem incorrectly, you will be you answer the problem incorrectly, you will be taken back to the notes and examples pages. taken back to the notes and examples pages. (You must get (You must get bothboth answers right to move to the answers right to move to the next problem.)next problem.)

Good Luck!!!Good Luck!!!

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

X =X =

66

77

99

1010

MN =MN =

3434

3030

4040

1818

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

X =X =

55

66

88

99

EF =EF =

6666

6464

7878

8080

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

X =X =

55

44

22

33

TU =TU =

11

66

55

99

THE END!!!THE END!!!

Congratulations!!!Congratulations!!!

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