PROBLEMS ON SEGMENT ADDITION POSTULATE WORKSHEET

Segment addition postulate solve for x.

Problem 1 :

Find KL

seg-add-posq-1

Solution

Problem 2 :

Find HJ

seg-add-posq-2

Solution

Problem 3 :

Find EC

seg-add-posq-3

Solution

Problem 4 :

Find IK

seg-add-posq-4

Solution

Points A, B, and C are collinear. Point B is between A and C. Solve for x.

Problem 5 :

AC = 3x + 3, AB = -1 + 2x, and BC = 11. Find x.

Solution

Problem 6 :

AC = 22, BC = x + 14, and AB = x + 10. Find x.

Solution

Problem 7 :

Solve for x.

seg-add-posq-5

Solution

Problem 8 :

Solve for x.

seg-add-posq-6

Solution

Problem 9 :

Find DE

seg-add-posq-7

Solution

Problem 10 :

Find EG

seg-add-posq-8

Solution

Answer Key

1) KL = 6

2)  HJ = 17

3)  EC = 35

4)  IK = 30

5)  x = 7

6)  x = -1

7)  x = 13

8)  x = 15

9)  x = 13 and DE = 11

10)  EG = 18

Problem 1 :

What is the measure of x.

segment-addition-postulate-q1

Solution

Problem 2 :

Using the segment addition postulate G is between F and H, FG = 6 and GH = 11. Find FH.

Solution

Problem 3 :

Y is between X and Z, XZ = 8 and XY = 3. Find YZ.

Solution

Problem 4 :

Using the segment addition postulate M is between N and O. Find NO.

segment-addition-postulate-q2.png

Solution

Problem 5 :

E is between D and F. Find DF.

Solution

Problem 6 :

D is the midpoint of EF, ED = 4x + 6, and DF = 7x – 9. Find ED, DF, and EF.


segment-addition-postulate-q4.png

 Solution

Problem 7 :

Find CE.

segment-addition-postulate-q5.png

Solution

Problem 8 :

Solve for x.

segment-addition-postulate-q6.png

Solution

Problem 9 :

Solve for x.

segment-addition-postulate-q7.png

Solution

Problem 10 :

Solve for x.

segment-addition-postulate-q8.png

Solution

Answer Key

1) x = 7

2)  FH = 17

3)  YZ = 5

4)  NO = 27

5)  DF = 24

6) ED = 26, DF = 26, EF = 52

7)  CE = 14

8)  x = 15

9)  x = 13

10)  BD = 12

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