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 = .
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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. 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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