Geometry
Name___________________________________ ID: 1
Geometry Quiz Review
1) m HGF = 132° and m HGL = 44°.
Find m LGF.
L
Date________________ Period____
2) m EFG = 124° and m VFG = 86°.
Find m EFV.
G
F
H
V
G
F
E
3) m ABC = 71°, m SBC = 3x + 4,
and m ABS = 4x − 3. Find x.
4) Find x if m LMB = x + 28,
m LMN = 173°, and m BMN = x + 155.
B
A
B
S
L
M
N
C
5) Find m GEF if m GEF = 4x + 10,
m DEF = 17x + 1, and m DEG = 95°.
6) m CDZ = 65°, m CDE = 68x + 1,
and m ZDE = 36x. Find m ZDE.
G
Z
D
E
E
F
C
D
Find the measure of angle b.
7)
8)
b
39°
24°
b
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Worksheet by Kuta Software LLC
Find the value of x.
9)
10)
(6x + 3)°
(2x + 1)°
143°
(x + 14)°
Solve for x.
11)
H
12
4x − 4
G
F
12)
L
2x + 30
11
K
J
x + 30
6x
Find the length indicated.
13) Find LM
L
14) Find JK
x+3
x+5
M
N
I
20
x+1
5
J
K
2x − 5
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated.
15) AC = 8, BC = x − 11, and AB = 2x − 17.
Find BC.
16) AC = 7, AB = −13 + 2x, and BC = 2x − 8.
Find AB.
Find the distance between each pair of points.
17) (−6, −1), (−2, 1)
18) (−3, −8), (−3, 2)
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Worksheet by Kuta Software LLC
Find the midpoint of each line segment.
19)
20)
y
−4
y
4
4
2
2
−2
2
4
x
−4
−2
2
−2
−2
−4
−4
4
x
Find the other endpoint of the line segment with the given endpoint and midpoint.
21) Endpoint: (−10, −10), midpoint: (−8, −10)
22) Endpoint: (1, 9), midpoint: (10, 10)
Find the midpoint of the line segment with the given endpoints.
23) (1, 0), (−1, −9)
24) (−2, −7), (10, 10)
Find the missing length indicated.
25)
26)
25
15
10
?
20
16
?
52
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Worksheet by Kuta Software LLC
27)
28)
?
1
6
3
?
20
12
15
Solve for x.
29)
30)
9
28
6
9x − 1
3x
10
12
15
31)
32)
20
12
8
4
x−2
5
6
2x + 9
Each figure shows a triangle with one of its angle bisectors.
33) Find m VTU if m 2 = 4x − 3 and
m VTU = 7x + 1.
U
P
34) Find m YWX if m 2 = 5x + 2 and
m 1 = 6x − 1.
X
V
P
21
T
W
2
1
Y
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Worksheet by Kuta Software LLC
Geometry
Name___________________________________ ID: 1
Geometry Quiz Review
1) m HGF = 132° and m HGL = 44°.
Find m LGF.
L
Date________________ Period____
2) m EFG = 124° and m VFG = 86°.
Find m EFV.
G
F
H
V
G
F
88°
E
38°
3) m ABC = 71°, m SBC = 3x + 4,
and m ABS = 4x − 3. Find x.
4) Find x if m LMB = x + 28,
m LMN = 173°, and m BMN = x + 155.
B
A
B
S
L
C
M
N
−5
10
5) Find m GEF if m GEF = 4x + 10,
m DEF = 17x + 1, and m DEG = 95°.
6) m CDZ = 65°, m CDE = 68x + 1,
and m ZDE = 36x. Find m ZDE.
G
Z
D
E
E
F
C
42°
D
72°
Find the measure of angle b.
7)
8)
b
39°
24°
141°
b
156°
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Worksheet by Kuta Software LLC
Find the value of x.
9)
10)
(6x + 3)°
(2x + 1)°
143°
(x + 14)°
22
23
Solve for x.
11)
12
H
4x − 4
G
F
12)
L
2x + 30
11
K
J
x + 30
6x
−11
4
Find the length indicated.
13) Find LM
L
14) Find JK
x+3
x+5
M
N
I
20
x+1
5
J
K
2x − 5
9
12
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated.
15) AC = 8, BC = x − 11, and AB = 2x − 17.
Find BC.
16) AC = 7, AB = −13 + 2x, and BC = 2x − 8.
Find AB.
1
1
Find the distance between each pair of points.
17) (−6, −1), (−2, 1)
18) (−3, −8), (−3, 2)
10
2 5
-2-
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Worksheet by Kuta Software LLC
Find the midpoint of each line segment.
19)
20)
y
−4
y
4
4
2
2
−2
2
4
x
−4
−2
2
−2
−2
−4
−4
(0, −2)
4
x
(0, 0)
Find the other endpoint of the line segment with the given endpoint and midpoint.
21) Endpoint: (−10, −10), midpoint: (−8, −10)
22) Endpoint: (1, 9), midpoint: (10, 10)
(−6, −10)
(19, 11)
Find the midpoint of the line segment with the given endpoints.
23) (1, 0), (−1, −9)
(
0, −4
1
2
24) (−2, −7), (10, 10)
)
( )
4, 1
1
2
Find the missing length indicated.
25)
26)
25
15
10
?
20
16
?
52
6
45
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Worksheet by Kuta Software LLC
27)
28)
?
1
6
?
3
2
20
12
15
36
Solve for x.
29)
30)
9
28
6
9x − 1
3x
10
12
15
4
5
31)
32)
20
12
8
4
x−2
5
6
2x + 9
8
6
Each figure shows a triangle with one of its angle bisectors.
33) Find m VTU if m 2 = 4x − 3 and
m VTU = 7x + 1.
U
P
34) Find m YWX if m 2 = 5x + 2 and
m 1 = 6x − 1.
X
V
P
21
T
W
50°
34°
2
1
Y
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Worksheet by Kuta Software LLC