Segment Addition Postulate

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Presentation transcript:

Segment Addition Postulate 1st period Mrs. Gatlin Jenna Flitcroft

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.

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

Solve for x. 4x + 1 + 3 = 8 4x + 4 = 8 - 4 - 4 4x = 4 /4 /4 x = 1 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

Solve for x. 24 + 3x = 7x – 4 - 3x - 3x 24 = 4x – 4 + 4 + 4 28 = 4x 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

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. 7 9 10 MN = 34 30 40 18

If F is between E and G and EF = 26, FG = 5x, EG = 9x –6, find x and EG. 8 9 EF = 66 64 78 80

If U is between T and V and TU = 2x, UV = 26, TV = 13x -7, find x and TU. 5 4 2 3 TU = 1 6 5 9

You finished the Segment Addition Postulate tutorial! THE END!!! Congratulations!!! You finished the Segment Addition Postulate tutorial!