Geometry
Name___________________________________ ID: 1
Addition Postulate
Date________________ Period____
Find the length indicated.
1)
A
12
?
C
B
2)
10
K
?
J
19
3)
H
22
5
?
J
I
11
5)
U
I
4)
S
7
?
R
Q
18
4
?
V
W
12
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated.
6) Find BC if AB = 5 and AC = 14.
7) AC = 12 and BC = 4. Find AB.
8) Find BC if AB = 7 and AC = 11.
9) Find AB if AC = 20 and BC = 12.
10) Find BC if AB = 2 and AC = 12.
Points A, B, C, and D are collinear and positioned in that order. Find the length indicated.
11) AD = 17, AC = 13, and BD = 12.
Find BC.
12) Find AB if BC = 1, AD = 15, and CD = 10.
13) AD = 15, BC = 7, and BD = 9. Find AC.
14) Find BC if BD = 3, AC = 9, and AD = 10.
15) AB = 9, AD = 15, and BC = 3. Find CD.
Points A, B, C, and D are collinear and positioned in that order. Solve for x.
16) Find x if AB = x + 10, AD = 23,
BC = x + 12, and CD = 3.
17) BC = 2x − 2, CD = −2 + 4x, AB = 12,
and AD = 26. Find x.
18) Find x if CD = 6, AC = 2x + 4,
AB = x + 1, and BD = 17.
19) AC = x + 6, BD = 3x − 2, AD = 22,
and BC = 6. Find x.
20) Find x if BC = x + 13, AC = 14,
AD = x + 31, and BD = 18.
Points A, B, C, and D are collinear and positioned in that order. Find the length indicated.
21) Find CD if AD = 30, AB = 2x − 1,
BC = 2x − 4, and CD = x + 5.
22) AB = 2x + 3, CD = x + 2, BC = 5,
and AD = 9x − 2. Find CD.
23) Find AC if AD = x + 25, BC = 2x + 23,
BD = 10, and AC = 2x + 28.
24) Find CD if CD = 2x − 7, BC = x + 3,
AD = 4x − 3, and AB = 8.
25) Find BC if AB = x + 11, CD = x + 5,
BC = x + 4, and AD = 17.
Worksheet by Kuta Software LLC
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Answers to Addition Postulate (ID: 1)
1) 7
9) 8
17) 3
25) 3
3) 6
11) 8
19) 6
5) 8
13) 13
21) 11
7) 8
15) 3
23) 8
Worksheet by Kuta Software LLC
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Geometry
Name___________________________________ ID: 2
Addition Postulate
Date________________ Period____
Find the length indicated.
1)
4
?
A
B
C
2)
R
13
3)
P
4
J
S
T
11
?
R
Q
4)
G
11
?
H
I
14
10
5)
1
?
5
?
K
L
16
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated.
6) AC = 12 and BC = 6. Find AB.
7) AB = 5 and BC = 8. Find AC.
8) BC = 9 and AB = 2. Find AC.
9) Find BC if AB = 6 and AC = 13.
10) AC = 17 and AB = 10. Find BC.
Points A, B, C, and D are collinear and positioned in that order. Find the length indicated.
11) AB = 1, AC = 9, and CD = 10. Find BD.
12) Find BC if BD = 12, AD = 22,
and AC = 19.
13) AC = 22, BD = 14, and BC = 10.
Find AD.
14) CD = 5, AD = 16, and AB = 7. Find BC.
15) Find CD if AB = 6, AD = 24, and BC = 12.
Points A, B, C, and D are collinear and positioned in that order. Solve for x.
16) Find x if BC = 11, AC = −2 + 4x,
AD = 28, and BD = 4x + 1.
17) BC = 10, AD = x + 24, AB = 2x + 14,
and CD = 6. Find x.
18) CD = 2 + 3x, AB = x, BC = 1,
and AD = 11. Find x.
19) Find x if CD = 1, AB = 12, BC = 2x + 26,
and AD = x + 30.
20) Find x if BD = 15, CD = 4x − 1, AC = 8,
and AB = 2x − 2.
Points A, B, C, and D are collinear and positioned in that order. Find the length indicated.
21) Find AB if AD = x + 26, AB = 2x + 31,
BC = x + 16, and CD = 1.
22) Find CD if CD = 2x − 19, AB = 2x − 14,
AD = 19, and BC = 2x − 8.
23) Find BD if BC = x + 6, BD = x + 11,
AD = 20, and AC = x + 18.
24) AB = 10 + x, AD = x + 24, CD = 5,
and BC = 10 + x. Find AB.
25) BC = x + 7, BD = 4x, AC = 22,
and AD = 6x. Find BD.
Worksheet by Kuta Software LLC
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Answers to Addition Postulate (ID: 2)
1) 9
9) 7
17) −6
25) 20
3) 6
11) 18
19) −9
5) 11
13) 26
21) 9
7) 13
15) 6
23) 8
Worksheet by Kuta Software LLC
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Geometry
Name___________________________________ ID: 3
Addition Postulate
Date________________ Period____
Find the length indicated.
1)
B
9
?
D
C
2)
D
18
3)
2
K
L
10
5)
M
L
4)
N
?
2
M
L
14
10
?
F
E
11
?
J
9
?
K
22
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated.
6) Find AB if AC = 9 and BC = 6.
7) Find AC if BC = 8 and AB = 4.
8) Find BC if AB = 8 and AC = 13.
9) BC = 12 and AB = 5. Find AC.
10) BC = 11 and AC = 22. Find AB.
Points A, B, C, and D are collinear and positioned in that order. Find the length indicated.
11) Find BD if AC = 8, AD = 16, and BC = 2.
12) BC = 11, CD = 4, and AD = 23. Find AB.
13) BC = 6, AC = 13, and BD = 14. Find AD.
14) Find AC if AD = 13, BD = 8, and BC = 7.
15) BD = 14, AC = 11, and BC = 6. Find AD.
Points A, B, C, and D are collinear and positioned in that order. Solve for x.
16) AB = 5, CD = x + 5, BC = x + 11,
and AD = 19. Find x.
17) BC = x + 16, CD = 12, AD = 27,
and AB = 2x + 35. Find x.
18) AC = 13, BD = 2x + 8, AB = 9,
and CD = x + 4. Find x.
19) AB = x − 1, CD = 4, BC = 11,
and AD = 3x − 4. Find x.
20) Find x if BD = 12, BC = 1, AD = x + 11,
and AC = 2x − 9.
Points A, B, C, and D are collinear and positioned in that order. Find the length indicated.
21) Find AD if BC = 12, BD = x + 12,
AC = 2x − 6, and AD = x + 16.
22) AC = 17, AD = 4x + 6, BD = 2x + 3,
and BC = 2 + x. Find AD.
23) Find BC if BD = x + 16, BC = x + 8,
AD = 19, and AC = x + 17.
24) BD = 12, AD = 3x + 3, BC = 2x − 9,
and AC = 2x − 3. Find AD.
25) Find CD if BC = 7, AD = x + 16,
CD = −3 + x, and AB = x.
Worksheet by Kuta Software LLC
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Answers to Addition Postulate (ID: 3)
1) 9
9) 17
17) −12
25) 9
3) 8
11) 10
19) 9
5) 12
13) 21
21) 27
7) 12
15) 19
23) 2
Worksheet by Kuta Software LLC
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Geometry
Name___________________________________ ID: 4
Addition Postulate
Date________________ Period____
Find the length indicated.
1)
E
10
?
C
D
2)
6
H
15
3)
?
K
J
13
5)
K
8
4)
N
3
?
M
L
15
?
L
J
8
11
L
?
I
M
17
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated.
6) Find AC if BC = 4 and AB = 6.
7) Find AC if BC = 9 and AB = 2.
8) AB = 10 and BC = 9. Find AC.
9) AB = 7 and BC = 12. Find AC.
10) BC = 6 and AC = 15. Find AB.
Points A, B, C, and D are collinear and positioned in that order. Find the length indicated.
11) AD = 18, CD = 9, and AB = 2. Find BC.
12) Find AB if AD = 27, BC = 6, and CD = 10.
13) Find BD if AC = 16, CD = 2, and AB = 12.
14) Find AD if BD = 6, AC = 9, and BC = 2.
15) Find BD if BC = 4, AC = 16, and AD = 21.
Points A, B, C, and D are collinear and positioned in that order. Solve for x.
16) Find x if CD = 12, BC = x + 11,
AB = x + 13, and AD = 26.
17) BD = 10, AB = x + 9, AC = 10,
and CD = 2x + 16. Find x.
18) AB = x + 3, BD = 9, CD = 2x − 2,
and AC = 9. Find x.
19) CD = 3x + 1, BC = 6x, AB = 9,
and AD = 28. Find x.
20) Find x if AD = x + 19, BD = 17,
BC = 2x + 6, and AC = 8.
Points A, B, C, and D are collinear and positioned in that order. Find the length indicated.
21) Find AD if BC = 2x − 14, BD = 2x − 6,
AD = 5 + 2x, and AC = 13.
22) Find BD if CD = 2x + 25, BD = 2x + 34,
AC = x + 28, and AB = 7.
23) BD = 13, AC = x + 19, BC = x + 13,
and AD = x + 22. Find AC.
24) AD = 2x + 2, BC = 12, AC = 2x,
and BD = 2x − 6. Find AC.
25) AD = x + 33, AC = 14, BC = 2x + 28,
and BD = 27 + x. Find AD.
Worksheet by Kuta Software LLC
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Answers to Addition Postulate (ID: 4)
1) 5
9) 19
17) −7
25) 23
3) 2
11) 7
19) 2
5) 9
13) 6
21) 21
7) 11
15) 9
23) 16
Worksheet by Kuta Software LLC
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Geometry
Name___________________________________ ID: 5
Addition Postulate
Date________________ Period____
Find the length indicated.
1)
C
9
?
E
D
2)
11
D
G
4
?
I
H
J
12
?
K
4)
T
10
?
U
V
22
12
5)
F
20
12
3)
?
E
L
20
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated.
6) AC = 17 and BC = 5. Find AB.
7) AC = 18 and AB = 11. Find BC.
8) Find AC if BC = 8 and AB = 9.
9) BC = 6 and AC = 7. Find AB.
10) AC = 9 and AB = 3. Find BC.
Points A, B, C, and D are collinear and positioned in that order. Find the length indicated.
11) Find BC if AC = 12, AD = 23,
and BD = 14.
12) BC = 11, AD = 26, and AC = 17.
Find BD.
13) BD = 5, BC = 2, and AD = 16. Find AC.
14) Find CD if AD = 19, BC = 5, and AB = 9.
15) CD = 5, AD = 23, and AB = 10. Find BC.
Points A, B, C, and D are collinear and positioned in that order. Solve for x.
16) Find x if AD = 6x − 3, CD = 10,
AB = x + 1, and BC = 1.
17) Find x if AB = x − 1, BC = 3, CD = 12,
and AD = 3x − 10.
18) AB = x − 2, AD = 4x + 1, BC = 11,
and CD = 10. Find x.
19) AC = 12, BC = 10x, AD = 19x + 1,
and BD = 18. Find x.
20) BD = 11, AC = 2x + 22, AD = 13,
and BC = x + 12. Find x.
Points A, B, C, and D are collinear and positioned in that order. Find the length indicated.
21) AC = x + 36, BC = x + 24, AD = 34,
and BD = x + 34. Find AC.
22) AD = 13, AC = x + 10, BC = x + 6,
and BD = x + 13. Find BC.
23) AB = x + 22, AD = x + 31, BC = 2x + 23,
and CD = 8. Find AB.
24) Find BC if AB = x + 8, AD = 14,
CD = 1 + x, and BC = 2x + 5.
25) BC = 8, BD = x + 7, AC = x + 4,
and AD = 3x − 6. Find AC.
Worksheet by Kuta Software LLC
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Answers to Addition Postulate (ID: 5)
1) 3
9) 1
17) 12
25) 13
3) 8
11) 3
19) 1
5) 8
13) 13
21) 24
7) 7
15) 8
23) 11
Worksheet by Kuta Software LLC
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