Geometry A
Name___________________________________ ID: 1
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HW 1: Segment Addition Postulate and Angle Basics
Date________________ Period____
Solve each equation. 1) 112 = -8 + 8(1 + 7 p)
2) 95 = -5(6x + 5)
3) -
37 5 1 = n+ +n 6 3 2
5) -
17 11 1 161 1 m=- m 6 6 3 36 3
3 17 17 n+1+ n= 4 4 2
4)
( )
(
6) 7
)
25 9 25 1151 2 a+ + a= + a 8 8 8 72 3
Solve for x. 7)
-1 + 2x
1
V
U
T
8)
9
3x
B
D
C
3x - 5
5x + 3
Find the length indicated. 9) Find BC
10) Find LJ
19 + x
x + 12
A
B
2x + 25
10
L
C
K
J
x + 26
11
Name each angle in four ways. 11)
12) C
I
1
2
K E
J
D
Name all the angles that have V as a vertex. 13)
14)
E
C
V 2 1
V 5
F
6
G D E
15) m DLK = 104° and m MLD = 24°. Find m MLK. D M
16) m DTS = 60° and m UTS = 94°. Find m UTD.
K
D
L U
S
T
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17) Find x if m QRJ = 107x + 1, m QRS = 132°, and m JRS = 24x.
18) m TUL = 65°, m LUV = 14x + 2, and m TUV = 24x + 7. Find x. U
Q
T
V R L J
S
19) Find x if m PRQ = -2 + 6x, m SRP = 3x - 4, and m SRQ = 66°.
20) m JKN = 75°, m NKL = 5x + 10, and m JKL = 14x - 5. Find x. K
S
R
J
L
P
N
Q
21) Find x if m DBA = x + 158, m CBA = 176°, and m CBD = x + 34.
22) m JIZ = 2x + 3, m JIH = 83°, and m ZIH = 7x - 1. Find m JIZ. H
A Z B D
I
J
C
23) Find m EDU if m EDU = 80 + x, m UDC = x + 113, and m EDC = 169°. D
C
24) m CTU = x + 132, m STU = 161°, and m STC = x + 47. Find m CTU.
E S C
U
T U
25) Find m RQK if m RQP = 15x + 13, m KQP = 112°, and m RQK = -3 + 3x. R
K
Q
26) Find m RST if m AST = 46°, m RSA = 5x + 3, and m RST = 8x + 19. R
A
S
T
P
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Answers to HW 1: Segment Addition Postulate and Angle Basics (ID: 1) 1) {2}
2) {-4}
3 1 6) 2 3 9) 2 10) 17 12) D, 2, EDC, CDE 13) 15) 128° 16) 34° 19) 8 20) 10 23) 68° 24) 123° 5)
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3) 7) 5
3 2 8) 3 4)
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11) J, 1, IJK, KJI 1, 2, GVE 14) 5, 6, CVE 17) 1 18) 6 21) -8 22) 21° 25) 21° 26) 99°
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