Answers: 1. 17 - 11 = 6 XY = 6 Explanation: To get XY you have to subtract YZ from XZ

2.

Line QR=12cm Line RS=20cm

FInd Line QS

Answer- 2. 12+20=32 32cm Explanation- To find the measurment of line QS you have to add line QR and line RS.

3. Point B is between A and C on line AC. With the provided information, write an equation in terms of x. Solve the equation, then find AB and BC.

AB=2x BC=5x AC=49

Answer: x=7 AB=14 BC=35

Why? 2x+5x=49 7x=49 x=7

2(7)+5(7)=49 14+35=49 49=49

4.PQ = 7x+12 and QR= 3x+16. Q is the midpoint. From the information given, draw the line segment, find x, and then find line segment PR.

Answer: x=1PR= 19

Why:Well, you know that PQ = 7x+12 and QR = 3x+16. You also know that Q is the midpoint. So, because Q is the midpoint, you would set (PQ)7x+12 and (QR)3x+16 equal to eachother. After solving the equation of 7x+12=3x+16, you end up with x equaling one. Then, you plug one into the spot of the x. 7(1)+12 and 3(1)+16 -- Coming out with 19 as the length of PR. 19 = 19.

1. Point G is between H and F on line HF. Use the given information to write an equation in terms of x. Then find GH and GF.

HF = 50
GH = 6x
GF = 4x

2. Point L is between K and M on line KM. If KL = 20 and LM = 15, find KM.

3. Point B is between points A and C. Point C is between points B and D. Use the information given to find the length of AD.
AB= 4x
AB=CD
CB= 5x
AC= 11x + 8

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

5. S is between R and T. Use the Segment Addition Postulate to solve for x. RS= 2x+6
ST=4x-3 RT= 5x+12x

6. S is between R and T. Use the Segment Addition Postulate to solve for x. RS= 3x+1 ST= 1/2x+3 RT=18

7.

RightTriangleAngles.gif

XY + YZ = XZ
If XY= 15 and XZ= 20 then what does YZ equal?

Answers:

1. 6x + 4x = 50
10x =50
x = 5

2. KL + LM = KM
20 + 15 = KM
35 = KM

3. AB + BC +CD = AD
4x + 5x + 4x = 11x +8
13x = 11x +8
2x = 8
x= 4

Question: If point B is between points A and C on line segment AC. If line segment AC is 35. Use the given information to find the value of x. AC=35 AB=2x BC=3x

Answer: 2x+3x=35 5x=35 x=7

Question: NP=2X, PQ=3X+5,and NQ=41 NP + PQ= NQ

Answer: 2x+3x+5=41 5x+5=41

- 5 - 5

5x =

36

5 5 x=7.2

Question: If B is between points A and C on line segment AC find the value of x. AB = 40 BC= 3x AC=2x + 5

Answer: 40= 3x+2x+5 40=5x+5 35=5x 7=x

Question: Point Y is between points Z and W on line segment ZW. If ZW is eighty-four and ZY is eleven times the value of WY, find ZY and WY.

Answer: ZY =77 WY = 7

Why? ZY = 11x WY = x ZW = 84 84 = 11x + x 84 = 12x 7 = x ZY = 11(7) = 77 WY= x = 7

## Segment Addition Postulate

Period 4Taylor Twellman

Paige Drummond

Clare Magers

Mayme Marshall

http://www.fcahomeschool.com/samplelessons/geometry_files/image008.jpg

If point B is between points A and C then AB + BC = AC

Practice Problems:

1. Find the length of XY in the figure below

Hint:

http://hotmath.com/hotmath_help/topics/segment-addition-postulate.html

Answers:

1. 17 - 11 = 6

XY = 6

Explanation: To get XY you have to subtract YZ from XZ

2.

Line QR=12cm

Line RS=20cm

FInd Line QS

Answer-

2. 12+20=32

32cm

Explanation- To find the measurment of line QS you have to add line QR and line RS.

3. Point B is between A and C on line AC. With the provided information, write an equation in terms of x. Solve the equation, then find AB and BC.

AB=2x

BC=5x

AC=49

Answer:

x=7

AB=14

BC=35

Why?

2x+5x=49

7x=49

x=7

2(7)+5(7)=49

14+35=49

49=49

4.PQ = 7x+12 and QR= 3x+16. Q is the midpoint. From the information given, draw the line segment, find x, and then find line segment PR.

Answer:

x=1PR= 19

Why: Well, you know that PQ = 7x+12 and QR = 3x+16. You also know that Q is the midpoint. So, because Q is the midpoint, you would set (PQ)7x+12 and (QR)3x+16 equal to eachother. After solving the equation of 7x+12=3x+16, you end up with x equaling one. Then, you plug one into the spot of the x. 7(1)+12 and 3(1)+16 -- Coming out with 19 as the length of PR. 19 = 19.

Extra Help:

http://library.thinkquest.org/2609/l2s3.htm

## Segment Addition Postulate

Elizabeth DaughertyMaura Porter

Molly Kaniger

If B is between A and C, Then AB+BC=AC

Practice Problems:

1. Point G is between H and F on line HF. Use the given information to write an equation in terms of

x.Then find GH and GF.HF = 50

GH = 6x

GF = 4x

2. Point L is between K and M on line KM. If KL = 20 and LM = 15, find KM.

3. Point B is between points A and C. Point C is between points B and D. Use the information given to find the length of AD.

AB= 4x

AB=CD

CB= 5x

AC= 11x + 8

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

5.

S is between R and T. Use the Segment Addition Postulate to solve for x.

RS= 2x+6

ST=4x-3

RT= 5x+12x

6.

S is between R and T. Use the Segment Addition Postulate to solve for x.

RS= 3x+1

ST= 1/2x+3

RT=18

7.

XY + YZ = XZ

If XY= 15 and XZ= 20 then what does YZ equal?

Answers:

1. 6x + 4x = 50

10x =50

x = 5

2. KL + LM = KM

20 + 15 = KM

35 = KM

3. AB + BC +CD = AD

4x + 5x + 4x = 11x +8

13x = 11x +8

2x = 8

x= 4

4.2 + 4x + 6 = 32

8 + 4x = 32

4x = 24

x = 6

5.

2x + 6 + 4x - 3= 5x + 12

6x + 3 = 5x + 12

-5x -3

x=9

6.3x+1 + 1/2x +3 = 18

3x +1/2 x +4 = 18

3x +1/2 x = 18-4

3x +1/2 x = 14

(2/1)3x + x = 14(2/1)

6x +x = 28

7x = 28

x = 4

7.

15 + YZ = 20

20 – 15 = 5

YZ = 5

## Segment Addition Postulate

Period 1Miranda J.

Rachel S.

Erica W.

Emily R.

Extra Examples, Further Explanation, Additional Help:

http://www.tutorvista.com/topic/segment-addition-postulate-help

http://www.gradeamathhelp.com/support-files/measuring-length.pdf

Powerpoint on Segment Addition Postulate-

http://web.spalding.k12.ga.us/ghs/Departments/Gatlin/1st%20Period/FiltcroftJ.ppt

## Practice Problems:

Question:

If point B is between points A and C on line segment AC. If line segment AC is 35. Use the given information to find the value of x.

AC=35

AB=2x

BC=3x

Answer:

2x+3x=35

5x=35

x=7

Question:

NP=2X, PQ=3X+5,and NQ=41

NP + PQ= NQ

Answer:

2x+3x+5=41

5x+5=41

- 5 - 5

5x

=

36

5 5

x=7.2

Question:

If B is between points A and C on line segment AC find the value of x.

AB = 40

BC= 3x

AC=2x + 5

Answer:

40= 3x+2x+5

40=5x+5

35=5x

7=x

Question:

Point Y is between points Z and W on line segment ZW. If ZW is eighty-four and ZY is eleven times the value of WY, find ZY and WY.

Answer:

ZY =77

WY = 7

Why?

ZY = 11x

WY = x

ZW = 84

84 = 11x + x

84 = 12x

7 = x

ZY = 11(7) = 77

WY= x = 7

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