
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 = .
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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.
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 KutaSoftware.com
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Worksheet by Kuta Software LLC