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Geometry
Name___________________________________
Mixed Review
Date________________ Block____
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Find the measure of the angle indicated in bold.
1) Given:
p: It is a B day
q: It is a snow day
r: We have math
2)
9 + 9x
Convert the following statement to symbolic
form:
If it is a B day and it's not a snow day then we
have math.
10 x
Find the value of x that makes lines u and v
parallel.
Find the coordinates of the vertices of each figure
after the given transformation.
3)
4) rotation 90° counterclockwise about the
origin
y
75°
u
v
x + 80
x
F
S
Q
R
Find the distance between each pair of points.
Answer in simplest radical form and to the nearest
tenth.
5)
Find the other endpoint of the line segment with the
given endpoint and midpoint.
6) Endpoint: (8, 10), midpoint: (−3, −4)
(−7, 7), (−5, 3)
State if the three numbers can be the measures of
the sides of a triangle.
Two sides of a triangle have the following
measures. Find the range of possible measures for
the third side.
7) 3, 9, 6
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8) 10, 12
-1-
Worksheet by Kuta Software LLC
State what additional information is required in
order to know that the triangles are congruent for
the reason given.
Solve for x.
9)
5
10) SSS
7
4
T
S
2x − 4
K
R
Find the measure of the angle indicated.
Order the sides of each triangle from shortest to
longest.
11) Find m G.
12)
D
G
C
30°
100°
H
11 x + 4 7 x + 8
50°
E
120°
F
U
Find the value of x.
Solve for x.
13) m 2 = x + 42
14)
G
x + 27
T
75°
x + 17
2
I
Solve for x. The triangles in each pair are similar.
15)
C
D
H
U
Find the missing length indicated. Leave your
answer in simplest radical form.
16)
x
18
2x − 1
16
T
12
77
V
66
U
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-2-
Worksheet by Kuta Software LLC
Find the missing side lengths. Leave your answers as radicals in simplest form.
17)
18)
x
y
30°
45°
y
5
x
Find the missing side. Round to the nearest tenth.
19)
53°
8
Find the measure of the indicated angle to the
nearest degree.
20)
18
14
x
?
20
Find the value of the trigonometric ratio.
21) cos C
B
36
A
Find the measure of one interior angle in the
polygon. Round your answer to the nearest tenth
if necessary.
22) regular nonagon
27
45
C
Find the measure of one exterior angle in the
polygon. Round your answer to the nearest tenth
if necessary.
Solve for x. Each figure is a parallelogram.
24) MW = 9
YW = 2 x − 2
W
X
23) regular 11-gon
M
Y
Z
Solve for x.
Find the length of the darkened arc in terms of π .
25)
26)
E
58°
6 ft
135°
D
9x + 8
C
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-3-
Worksheet by Kuta Software LLC
Solve for x. Assume that lines which appear
tangent are tangent.
Find the segment length indicated. Assume that
lines which appear to be tangent are tangent.
27)
28)
x
14.4
9
?
19
8
19.4
Find the surface area of the figure. Round your
answers to the nearest hundredth, if necessary.
Find the volume of the figure. Round your
answers to the nearest hundredth, if necessary.
29)
30)
10 m
6.9 km
7 km
7 km
8m
Write the equation of the circle.
31) Center: (−10, 3)
Radius: 8
32) Find the center and radius of the circle
described by the equation:
0 = x 2 + y 2 + 10 x + 7
Write the slope-intercept form of the equation of the line described.
1
33) through: (−4, 5), parallel to y = − x − 4
2
1
34) through: (−2, −1), perp. to y = − x + 1
2
Solve for x. Assume that lines which appear
tangent are tangent.
Find the measure of the arc or angle indicated.
Assume that lines which appear tangent are
tangent.
35)
36)
120°
K
R
7x + 1
4x + 1
?
S
6
10
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U
40°
T
-4-
Worksheet by Kuta Software LLC
Geometry
Name___________________________________
Mixed Review
Date________________ Block____
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Find the measure of the angle indicated in bold.
1) Given:
p: It is a B day
q: It is a snow day
r: We have math
2)
9 + 9x
Convert the following statement to symbolic
form:
If it is a B day and it's not a snow day then we
have math.
(p^~q)->r
10 x
90°
Find the value of x that makes lines u and v
parallel.
Find the coordinates of the vertices of each figure
after the given transformation.
3)
4) rotation 90° counterclockwise about the
origin
y
75°
u
v
x + 80
x
−5
F
S
Q
R
R'(4, −2), S'(2, −3), F'(2, −1), Q'(3, 0)
Find the distance between each pair of points.
Answer in simplest radical form and to the nearest
tenth.
5)
Find the other endpoint of the line segment with the
given endpoint and midpoint.
6) Endpoint: (8, 10), midpoint: (−3, −4)
(−7, 7), (−5, 3)
(−14, −18)
2 5, 4.5
State if the three numbers can be the measures of
the sides of a triangle.
7) 3, 9, 6
No
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Two sides of a triangle have the following
measures. Find the range of possible measures for
the third side.
8) 10, 12
2 < x < 22
-1-
Worksheet by Kuta Software LLC
State what additional information is required in
order to know that the triangles are congruent for
the reason given.
Solve for x.
9)
5
10) SSS
7
4
T
S
2x − 4
7
K
R
ST ≅ KR
Find the measure of the angle indicated.
Order the sides of each triangle from shortest to
longest.
11) Find m G.
12)
D
G
C
30°
100°
H
11 x + 4 7 x + 8
50°
E
EC , DC, ED
120°
F
U
70°
Find the value of x.
Solve for x.
13) m 2 = x + 42
14)
G
x + 27
T
75°
x + 17
2
I
−12
−7
Solve for x. The triangles in each pair are similar.
15)
H
U
C
D
Find the missing length indicated. Leave your
answer in simplest radical form.
16)
x
18
2x − 1
16
T
12
77
66
9
V
U
11
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-2-
Worksheet by Kuta Software LLC
Find the missing side lengths. Leave your answers as radicals in simplest form.
5 3
5
17)
x=
, y=
18)
x
y
2
2
30°
45°
y
5
x
8
x = 4 2, y = 4 2
Find the missing side. Round to the nearest tenth.
19)
53°
Find the measure of the indicated angle to the
nearest degree.
20)
18
14
x
?
20
26°
17.5
Find the value of the trigonometric ratio.
3
21) cos C
5
B
36
A
22) regular nonagon
140°
27
45
Find the measure of one interior angle in the
polygon. Round your answer to the nearest tenth
if necessary.
C
Find the measure of one exterior angle in the
polygon. Round your answer to the nearest tenth
if necessary.
Solve for x. Each figure is a parallelogram.
24) MW = 9
YW = 2 x − 2
W
X
23) regular 11-gon
M
32.7°
Y
Z
10
Find the length of the darkened arc in terms of π .
9π
26)
ft
2
Solve for x.
25)
E
58°
6 ft
135°
D
9x + 8
C
12
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-3-
Worksheet by Kuta Software LLC
Solve for x. Assume that lines which appear
tangent are tangent.
Find the segment length indicated. Assume that
lines which appear to be tangent are tangent.
27)
28)
x
14.4
9
?
19
8
19.4
15
13
Find the surface area of the figure. Round your
answers to the nearest hundredth, if necessary.
Find the volume of the figure. Round your
answers to the nearest hundredth, if necessary.
29)
30)
10 m
6.9 km
7 km
7 km
8m
167.55 m³
145.6 km²
Write the equation of the circle.
31) Center: (−10, 3)
Radius: 8
( x + 10) 2 + ( y − 3) 2 = 64
32) Find the center and radius of the circle
described by the equation:
0 = x 2 + y 2 + 10 x + 7
center (−5, 0); radius 3 2
Write the slope-intercept form of the equation of the line described.
1
1
1
3 through: (−2, −1), perp. to y = − x + 1
33) through: (−4, 5), parallel to y = − x − 4 y = − x + 34)
2
2
2
y = 2x + 3
Solve for x. Assume that lines which appear
tangent are tangent.
Find the measure of the arc or angle indicated.
Assume that lines which appear tangent are
tangent.
35)
36)
120°
K
R
7x + 1
4x + 1
?
S
6
10
U
40°
2
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T
40°
-4-
Worksheet by Kuta Software LLC