The Segment Addition Postulate Date Period

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Kuta Software - Infinite Geometry

Name___________________________________

The Segment Addition Postulate

Date________________ Period____

Find the length indicated.

1)

?

?

H

G

2)

F

?

R

?

??

3)

T

??

??

?

4)

V

U

??

C

?

??

5) Find KL

6) Find HJ

?

??

??

?

J

K

L

G

??

H

J

I

?

7) Find EC

8) Find IK

??

E

E

D

??

I

T

S

??

D

C

B

I

??

J

L

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 = ??.

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10) Find AC if AB = ?? and BC = ?.

-1-

Worksheet by Kuta Software LLC

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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)

? x?????

?

x????

N

M

K

L

14)

??

S

?

T

??

? x?????

V

U

? x?????

Find the length indicated.

15) Find CE

16) Find BD

? x?????

B

??

C

?

E

D

B

C

E

D

????? x

? x????

? x????

x?????

? x????

17) Find DE

? x?????

D

18) Find EG

? x?????

E

F

????? x

x

G

E

F

G

H

????? 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?????.

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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?????.

-2-

Worksheet by Kuta Software LLC

?

Kuta Software - Infinite Geometry

Name___________________________________

The Segment Addition Postulate

Date________________ Period____

Find the length indicated.

1)

?

?

H

G

2)

F

?

R

?

??

??

?

3)

??

??

?

T

4)

V

U

??

C

?

E

D

??

??

??

??

5) Find KL

6) Find HJ

?

I

??

??

?

J

K

L

G

H

??

J

I

?

?

??

8) Find IK

7) Find EC

??

E

T

S

??

D

C

B

I

J

??

L

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)

? x?????

?

x????

N

M

K

L

14)

??

S

?

T

??

? x?????

V

U

? x?????

??

??

Find the length indicated.

16) Find BD

15) Find CE

? x?????

B

??

C

?

E

D

B

C

E

D

????? x

? x????

? x????

x?????

? x????

??

??

18) Find EG

17) Find DE

? x?????

D

? x?????

E

F

????? x

x

G

E

F

G

H

????? 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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