ID: 1
Geometry
Name___________________________________
Final Exam Review
Date________________ Period____
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1) m∠HGF = 174° and m∠HGA = 24°.
Find m∠AGF.
2) Find m∠UTS if m∠UTI = 48°
and m∠ITS = 27°.
A
H
T
S
F
G
I
3) m∠TSR = 17 x − 10, m∠QSR = 14 x,
and m∠TSQ = 20°. Find x.
U
4) m∠EBA = 120°, m∠CBA = 30 x + 8,
and m∠CBE = 6 x + 8. Find x.
B
A
Q
C
T
R
S
5) Find m∠BIJ if m∠HIJ = 10 x + 13,
m∠BIJ = 6 x + 11, and m∠HIB = 38°.
6) Find m∠EFH if m∠HFG = 21°,
m∠EFG = 7 + 24 x, and m∠EFH = 23 x − 7.
J
B
H
E
G
H
F
I
E
Name the relationship: complementary, linear pair, vertical, adjacent, alternate interior, corresponding, or
alternate exterior.
7)
8)
a
a
b
b
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-1-
Worksheet by Kuta Software LLC
9)
10)
b
a
a
11)
b
12)
ba
b
a
13)
14)
a
a
b
b
Find the measure of angle b.
16)
15)
37°
b
b
24°
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-2-
Worksheet by Kuta Software LLC
17)
18)
63°
b
b
97°
19)
20)
b
59°
b
30°
21)
22)
46°
b
b
131°
23)
24)
49°
b
145°
b
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-3-
Worksheet by Kuta Software LLC
25)
26)
126°
b
b
33°
Find the value of x.
27)
28)
2x°
5x°
28°
5x°
29)
30)
(x - 30)°
2x°
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2x°
36°
-4-
Worksheet by Kuta Software LLC
31)
32)
(6x + 2)°
(3x + 2)°
35°
38°
33)
34)
52°
(5x + 2)°
33°
3x°
35)
36)
89°
(4x + 3)°
(3x + 2)°
127°
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Worksheet by Kuta Software LLC
37)
38)
4x°
(2x + 1)°
63°
36°
Identify each pair of angles as corresponding, alternate interior, alternate exterior, same-side interior,
vertical, or adjacent.
40)
39)
y x
y
x
41)
42)
y
x
y
x
43)
44)
y
y
x
x
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Worksheet by Kuta Software LLC
45)
46)
y
y
x
x
Find the measure of each angle indicated.
47)
48)
78°
?
?
92°
49)
50)
51°
?
115°
?
51)
52)
?
?
50°
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115°
-7-
Worksheet by Kuta Software LLC
53)
54)
?
101°
93°
?
55)
56)
107°
?
?
112°
57)
58)
131° ?
54°
?
Solve for x.
59)
60)
115°
105°
20 x − 5
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x + 114
-8-
Worksheet by Kuta Software LLC
61)
62)
75°
16 x − 6
9 x + 12
63)
64)
x + 65
7 x + 13
9x − 1
57°
65)
66)
x + 139
16 x − 4
x + 59
30 x
67)
68)
70°
15 x − 5
2 + 11 x
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-9-
Worksheet by Kuta Software LLC
69)
70)
60°
x + 88 x + 110
12 x + 12
Find the measure of the angle indicated in bold.
71)
72)
5x
16 x + 7
17 x − 1
6 x − 10
73)
74)
31 x + 1
6 x + 16
13 x − 7
30 x + 5
75)
76)
x + 86 x + 106
9 x − 10
7 x + 10
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-10-
Worksheet by Kuta Software LLC
Name the vertex and sides of each angle.
77)
78)
J
R
I
P
K
Q
Name each angle in four ways.
79)
80)
T
S
K
1
4
J
I
R
Find the measure of each angle indicated.
81)
82)
G
F
L
?
118°
?
M
70°
118°
50°
D
E
86°
K
120°
N
Solve for x.
83)
V
U
95°
85°
W
84)
Q
11 x + 8
R
80°
10 x − 10
−3 + 14 x
T
100°
80°
S
T
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Worksheet by Kuta Software LLC
Find the measure of each angle indicated.
85) m∠D
86) m∠E
D
F
A
6x + 9
75°
76°
14 x + 2
E
9 x − 4115°
B
80°
C
14 x + 6
G
87)
D
88)
?
36°
30°
58°
?
Solve for x.
89)
90)
65°
6x
80°
x + 47
54°
Find the measure of angle A.
91)
92)
A
A
x + 50
82°
68 + x
x + 62
88 + x
40°
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-12-
Worksheet by Kuta Software LLC
Find the measure of each angle indicated.
93)
94)
20°
50°
35°
45°
?
52°
59°
24°
?
Find the area of each. Use your calculator's value of π . Round your answer to the nearest tenth.
95)
96)
2m
3m
Find the circumference of each circle. Use your calculator's value of π . Round your answer to the
nearest tenth.
97)
98)
5 cm
7 mi
Find the radius of each circle. Use your calculator's value of π . Round your answer to the nearest tenth.
99) area = 452.4 mi²
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100) area = 12.6 yd²
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Worksheet by Kuta Software LLC
Find the circumference of each circle. Use your calculator's value of π . Round your answer to the
nearest tenth.
101)
102)
12.8 in
13.2 ft
Find the area of each.
103)
104)
9 cm
3.8 cm
11 yd
7.5 yd
105)
106)
3.5 km
4 yd
3.5 km
4 yd
107)
108)
3 cm
2.4 m
1.2 cm
109)
7m
110)
2.6 mi
2 cm
8 mi
6.4 cm
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-14-
Worksheet by Kuta Software LLC
111)
112)
4m
1.6 cm
3.2 cm
8m
4 cm
8m
Find the missing measurement. Round your answer to the nearest tenth.
113)
114)
? km
? ft
12 ft
5.3 km
Area = 144 ft²
Area = 9 km²
115)
116)
? ft
10.1 ft
11.3 ft
Area = 70.1 ft²
? ft
Area = 120.2 ft²
117)
3.4 mi
7.3 mi
? mi
Area = 41.6 mi²
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-15-
Worksheet by Kuta Software LLC
Classify each angle as acute, obtuse, right, or straight.
118)
119)
120)
121)
122)
123)
124) 66°
125) 44°
126) 90°
127) 180°
128) 87°
129) 108°
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Worksheet by Kuta Software LLC
State if the two triangles are congruent. If they are, state how you know.
130)
131)
132)
133)
134)
135)
136)
137)
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Worksheet by Kuta Software LLC
138)
139)
140)
141)
State what additional information is required in order to know that the triangles are congruent for the
reason given.
142) SSS
143) SAS
K
C
D
E
D
G
C
L
M
H
F
E
144) AAS
145) ASA
E
N
S
C
W
V
T
U
R
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-18-
Worksheet by Kuta Software LLC
Complete each congruence statement by naming the corresponding angle or side.
147) ∆CDE ≅ ∆DCU
146) ∆ZXY ≅ ∆ZMN
∠Y
≅?
CD ≅ ?
149) ∆LKJ ≅ ∆LED
148) ∆GHI ≅ ∆GVU
H
K
G
U
L
E
I
V
J
D
IG ≅ ?
LK ≅ ?
151) ∆PQR ≅ ∆RCD
150) ∆UVW ≅ ∆ULM
V
W
Q
P
C
R
D
U
∠QRP
M
∠WUV
≅?
L
≅?
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-19-
Worksheet by Kuta Software LLC
Write a statement that indicates that the triangles in each pair are congruent.
152)
153)
U
W
R
K
V
T
X
P
V
Find the distance between each pair of points.
154) (5, 0), (3, 7)
155) (8, 4), (1, 7)
156) (−6, 8), (6, 6)
157) (1, 4), (−2, −1)
158)
159)
y
−4
y
4
4
2
2
−2
2
4
−4
x
−2
2
−2
−2
−4
−4
4
x
Find the value of x.
160)
161)
x
8
12
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x
-20-
Worksheet by Kuta Software LLC
162)
163)
76°
x
x
65°
164)
165)
−9 + 2 x
7
11
166) m∠2 = x + 18
x+4
167) m∠2 = x + 52
2
2
56°
45°
Find the measure of each angle indicated.
168)
169)
F
Q
110°
54°
146°
C
?
K
E
P
?
R
76°
G
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Worksheet by Kuta Software LLC
Solve for x.
170)
171)
E
V
4 x + 18
8x + 5
x + 12
U
4 x + 11
F
88°
90°
T
G
H
N
Find the measure of the angle indicated.
172) Find m∠H.
173) Find m∠R.
G
D
58°
P 112°
15 x
D
8 x + 12
H
F
21 x − 4 9 x − 4
R
Q
Find the total surface area of each figure. Do NOT forget to consider the area of those faces which you
can not "see". Round your answers to the nearest hundredth, if necessary.
174)
10 in
175)
6 in
6 in
6 in
6 mi
9 mi
9 mi
9 mi
6 in
9 mi
176)
9 km
177)
5 km
11 yd
9 yd
10 km
4 yd
10 km
9 yd
5 km
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-22-
11 yd
Worksheet by Kuta Software LLC
178)
2 km
6 km
3.5 km
4 km
2 km
Find the midpoint of the line segment with the given endpoints.
179) (1, −8), (−3, −7)
180) (−2, −4), (−9, 4)
181) (−5, −1), (−3, −6)
Find the midpoint of each line segment.
182)
183)
y
−4
y
4
4
2
2
−2
2
4
−4
x
−2
2
−2
−2
−4
−4
4
x
Find the measurement indicated in each parallelogram.
184)
185)
E
B
V
100°
W
?
120°
U
X
?
C
D
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-23-
Worksheet by Kuta Software LLC
186)
187)
P
H
G
Q
?
17.4
?
12
E
F
S
R
Solve for x. Each figure is a parallelogram.
188)
M
189)
L
R
S
8x − 2
x + 75
x + 105
Q
P
86°
N
190)
U
K
2 x + 18
191)
R
T
21 + 2 x
X
U
S
18
W
V
21
Find the measurement indicated in each parallelogram.
193) Find m∠T
192) Find m∠G
E
R
H
S
5x + 7
3 x + 17
9 + 11 x
F
6x − 5
G
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Q
-24-
T
Worksheet by Kuta Software LLC
194) Find ML
195) Find UT
x+1
K
L
M
−9 + 2 x
196)
V
V
W
?
2x − 5
U
N
197) SN = 22
Find SU
T
S
x+6
U
T
79°
33°
U
N
T
R
S
Solve for x. Each figure is a parallelogram.
198)
W
X
47°
199) BD = 12
LD = x − 5
A
D
L
3 x + 10
V
U
B
C
Find the measurement indicated in each parallelogram.
200) Find m∠GHE
G
F
115°
3x + 3
201) DQ = −10 + 2 x
DF = x + 10
Find DQ
F
E
Q
3x + 8
H
E
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D
-25-
C
Worksheet by Kuta Software LLC
Write the name of each polygon.
202)
203)
204)
205)
206)
207)
State if each polygon is concave or convex.
208)
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209)
-26-
Worksheet by Kuta Software LLC
210)
State if each polygon is regular or not.
211)
212)
213)
Draw diagonals to create triangles for each polygon. Find the interior angle sum for each polygon. Round
your answer to the nearest tenth if necessary.
214)
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215)
-27-
Worksheet by Kuta Software LLC
216)
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
217)
218)
10 yd
x
4 yd
x
3 yd
6 yd
219)
220)
12 km
x
15 km
12 km
13 km
x
221)
222)
10.1 ft
9.2 ft
6.7 ft
x
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x
-28-
9.4 ft
Worksheet by Kuta Software LLC
223)
224)
8.5 m
13.6 m
x
9.3 m
9.7 m
x
State the most specific name for each figure.
225)
226)
227)
228)
229)
230)
231)
232)
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-29-
Worksheet by Kuta Software LLC
233)
234)
235)
236)
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-30-
Worksheet by Kuta Software LLC