# The Segment Addition Postulate Date Period

Kuta Software - Infinite Geometry

The Segment Addition Postulate

Find the length indicated.

1) H

?

F

G

Name___________________________________ Date________________ Period____

2) R

?

T

S

3) T ?

V

U

4) C

?

E

D

5) Find KL

I

L

J

K

6) Find HJ

G

J

H

I

7) Find EC

E

B

D

C

8) Find IK

I

L

J

K

Points A, B, and C are collinear. Point B is between A and C. Find the length indicated.

9) Find AC if AB = and BC = .

10) Find AC if AB = and BC = .

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-1-

Worksheet by Kuta Software LLC

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

11) AC = x, AB = x, and BC = . Find x.

12) AC = , BC = x, and AB = x. Find x.

Solve for x.

13) N

x

x

K

ML

14) S

x

V

T

U

x

Find the length indicated.

15) Find CE

x

B

E

CD

x

x

16) Find BD

B

E

CD

x

x

x

17) Find DE

x x

x

D

G

E

F

18) Find EG

x

E

H

F

G

x

x

Critical thinking questions:

19) Points A, B, C, D, and E are collinear and in that order. Find AC if AE = x and CE = x.

20) Write a segment addition problem using three points (like question 11) that asks the student to solve for x but has a solution x.

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-2-

Worksheet by Kuta Software LLC

Kuta Software - Infinite Geometry

The Segment Addition Postulate

Find the length indicated.

1) H

?

F

G

3) T ?

V

U

5) Find KL

I

L

J

K

7) Find EC

E

B

D

C

Name___________________________________ Date________________ Period____

2) R

?

T

S

4) C

?

E

D

6) Find HJ

G

J

H

I

8) Find IK

I

L

J

K

Points A, B, and C are collinear. Point B is between A and C. Find the length indicated.

9) Find AC if AB = and BC = .

10) Find AC if AB = and BC = .

?l E270K1E30 QKzu2tGaU PS7o7fTtswva7r3ee XLKLNC7.B A FAWlMlF er1iQgUh1t3su QrWeGsheLrOvYeBdf.0 Z uM3aBd4eR vwpi0tnhM FIYnBfgiLnWi0tyeE vGuesoGmheutzr2yp.4

-1-

Worksheet by Kuta Software LLC

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

11) AC = x, AB = x, and BC = . Find x.

12) AC = , BC = x, and AB = x. Find x.

Solve for x.

13) N

x

x

K

ML

14) S

x

V

T

U

x

Find the length indicated.

15) Find CE

x

B

E

CD

x

x

16) Find BD

B

E

CD

x

x

x

17) Find DE

x x

x

D

G

E

F

18) Find EG

x

E

H

F

G

x

x

Critical thinking questions:

19) Points A, B, C, D, and E are collinear and in that order. Find AC if AE = x and CE = x. AC = AE - CE =

20) Write a segment addition problem using three points (like question 11) that asks the student to solve for x but has a solution x.

Many possibilities: AB = x, BC = , AC =

Create your own worksheets like this one with Infinite Geometry. Free trial available at

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-2-

Worksheet by Kuta Software LLC

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