Geometry PreAP
Name: ________________________________
Segment Addition & Angle Addition Postulates
Period: ______________
For all problems, draw a diagram if one is not provided. Begin with an equation, then solve. You MUST show
adequate work to receive credit. Be sure to circle, box, or highlight each of your answers.
1. C is between A and B. AB = 14, CB = 6. Find AC.
2. B is between A and C. AB = 2x, BC = 3x  6 and AC = 14. Find AB and BC.
3. T is between R and S. RT = 2x, TS = 4, RS = 3x – 1. Find RS and RT.
4. B is between A and C. AB  3( x  7) , BC  2( x  3) , AC=50. Find AB.
9
x2
B
C
A
x
x3
C
A
5. x = ____________
A
AB  x 2
6. x = ___________
7. x = ___________
12
C
B
C
A
AB  21
AB  24
8. x = ____________
9. x = ___________
Use the figure shown here for #s 10 - 12.
P
Q
10. Given: PR  SQ , PR  3x  6, QR  12, and PQ  x  2 . Find RS .
11. Given: PR  SQ , PQ =
18
2 x2  4 x
B
A
B
C
AB  3x
AB  20
x2
x3
x
B
x8
, QR  2, and PR  x  8 . Find QS.
3
12. Given: PQ  RS , QS  x 2 , PQ  5x, and QR  36 . Find RS.
R
S
Find the measure of each angle to the nearest degree.
B
13. m
ARO = ___________
14. m
ARC = ___________
15. m
BAR = ___________
C
A
O
R
S
17. Draw BUG with a measure of 58 .
ANT with a measure of 147 .
16. Draw
19. mNPM  _________
18. m QST  _______
L
Q
R
53
P
20. mANT  __________
N
M
22
T
8x
N
42
B
5x +12
T
A
S
21. mPMN  ___________
22. mCBD  _______________
L
P
A
(7 x  12)
( x 2 )
( x  2)
M
mLMN  70
(4 x  4)
B
N
Use the figure shown here for
problems #23 - #26
mABC  100
AEB  CED
C
C
B
D
A
23
D
E
24.
AEC  BED
mAEB = 4(x + 2); m BEC = 12x – 1
m BEC = 7x + 14; m BED = 19x + 25
m AEC = 5(5x – 4)
m CED = 2x + 56
m BED = ________________
m AEB = ______________
25. AEC  BED
26.
AEB  CED
m AEB = x2; m CED = 15x – 56
m AEC = x2 – 48; m BED = 8x
m CED = _________________
m AEC = ________________