wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Geometry Third Nine Weeks Review

Total questions: 90

Worksheet time: 3hrs 58mins

Name
Class
Date
1.
Write the equation of a circle with center (7, 0) with radius 3.
a)
(x - 7)2 + y2 = 9
b)
x2 + (y -7)2 = 9
c)
(x - 7)2 + y2 = 3
d)
x2 + (y -7)2 = 3
2.
What are the coordinates of the center and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?
a)
Center (4,3)
Radius = 5 units
b)
Center (4,3)
Radius = 25 units
c)
Center (-4,-3)
Radius = 25 units
d)
Center (-4,-3)
Radius = 5 units
3.
What is the equation of the circle?
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
4.
Find the measure of arc AB.
a)
17
b)
34
c)
68
d)
146
5.
What is the measure of angle 1?
a)
120
b)
40
c)
30
d)
60
6.
Find the measure of angle EFH.
a)
61
b)
65
c)
114
d)
130
7.
If the measure of arc ABC = 210°, what is the measure of ∠AOC?
a)
150°
b)
100°
c)
210°
d)
105°
8.
What is the measure of arc AB?
a)
140
b)
142
c)
180
d)
153
9.
Solve for x. 
a)
5
b)
20
c)
40
d)
85
10.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
11.

Find the missing measurement.

a)

A

b)

B

c)

C

d)

D

12.

Solve for x.

a)

4

b)

0

c)

15

d)

8

13.

What is the measure of angle DEF?

a)

72 degrees

b)

73 degrees

c)

74 degrees

d)

75 degrees

14.

Find the missing measurement.

a)

A

b)

B

c)

C

d)

D

15.
Find the value of x.
a)
10
b)
181
c)
34
d)
40
16.
a)
278⁰
b)
297⁰
c)
90⁰
d)
105⁰
17.
Solve for x.
a)
3.6
b)
9.2
c)
11.5
d)
14.3
18.
Solve for x.
a)
4.2
b)
6.6
c)
10.4
d)
11.6
19.

Find the value of x. Leave your answer in simplest radical form.

a)

16√2

b)

√32

c)

4√2

d)

8√4

20.

Find the value of x.

a)

9.8

b)

6.3

c)

12.6

d)

4.9

21.

Solve for x.

a)

29.67

b)

5.33

c)

18

d)

9

22.

Solve for x.

a)

24

b)

4.9

c)

25.64

d)

8

23.
How many degrees are in a circle?
a)
90
b)
180
c)
270
d)
360
24.
This is a picture of ___________.
a)
Minor Arc
b)
Major Arc
c)
Semi-Circle
d)
Central Angle
25.
This is a picture of ___________.
a)
Minor Arc
b)
Major Arc
c)
Semi-Circle
d)
Central Angle
26.

Find the arc measure for arc VW

a)

45˚

b)

25˚

c)

17˚

d)

55˚

27.
Which is true of a minor arc?
a)
It forms half a circle.
b)
It forms a whole circle.
c)
It measures greater than 180 degrees. 
d)
It measures less than 180 degrees.
28.

Find the arc MEASURE of arc YU

a)

55˚

b)

125˚

c)

17˚

d)

25˚

29.

What is the measure of arc WYZ?

a)

231°

b)

255°

c)

168°

d)

200°

30.
Solve for the missing angle.
a)
45o
b)
90o
c)
22.5o
d)
128o
31.
If my radius is 10ft, what is my diameter?
a)
20ft
b)
5ft
c)
31.4ft
d)
62.8ft
32.
Which is true of a major arc?
a)
Forms half a circle.
b)
Forms a whole circle.
c)
Measures greater than 180 degrees.
d)
Measures less than 180 degrees.
33.

Is arc FC a minor arc, major arc, or semicircle?

a)

minor arc

b)

major arc

c)

semicircle

34.

Is arc EFD a minor arc, major arc, or semicircle?

a)

minor arc

b)

major arc

c)

semicircle

35.

Is arc DEF a minor arc, major arc, or semicircle?

a)

minor arc

b)

major arc

c)

semicircle

36.

The measure of a semicircle must be ___________________.

a)

less than 90 degrees

b)

less than 180 degrees

c)

exactly 180 degrees

d)

greater than 180 degrees

37.

Find the arc length

a)

12π cm

b)

15π cm

c)

39.375 cm

d)

14π cm

38.

Find arc length

a)

114π/5 ft

b)

2850 ft

c)

95π/6 ft

d)

150π/19 ft

39.
Find the area of the shaded sector of circle O.  The radius is 6 inches and the central angle is 100°.  Express answer to the nearest tenth of a square inch.
a)
9.2 sq. in.
b)
10.5 sq. in.
c)
31.4 sq. in.
d)
38.2 sq. in.
40.
When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees.  What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.
a)
40
b)
35
c)
55
d)
69
41.
What is the area of the shaded region? Round to the nearest hundredth.
a)
1.26
b)
452.39
c)
113.10
d)
40715.04
42.
What is the area of the shaded region? Round to the nearest hundredth.
a)
50.27
b)
3015.93
c)
8.38
d)
4.19
43.

Find x. P is the center of the circle. Segments that appear to be tangent are tangent.

a)

11.2

b)

18.0

c)

25.0

d)

30.0

44.
What best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
45.
The radius of a circle is
a)
The measurement from the center of a circle to an edge of the circle.
b)
The measurement around the circle
c)
The measurement from and edge of the circle to another edge through the center
d)
A line perpendicular to the diameter of the circle
46.
A tangent line of a circle is...
a)
It's diameter
b)
It's radius
c)
It's circumference
d)
A line that touches the circle only once
47.
Which best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
48.
Which best describes line AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
49.
What does "circumference" mean?
a)
Space a circle takes up
b)
Distance around a circle
c)
Line from one side of a circle to another
d)
Line from center of circle to side
50.
What is/are the formula(s) to find the area of a circle?
a)
πr2
b)
2πr
c)
√π
51.
What is the decimal estimate for
π?
a)
3.14
b)
5.14
c)
2.14
d)
500.95
52.
a)
A
b)
B
c)
C
d)
D
53.
a)
A
b)
B
c)
C
d)
D
54.
Find the DG.
a)
14
b)
28
c)
12
d)
16
55.
A trapezoid is a quadrilateral with exactly one pair of _____ sides.
a)
parallel
b)
congruent
c)
perpendicular
d)
skew
56.
The legs of an isosceles trapezoid are _____.
a)
parallel
b)
perpendicular
c)
congruent
d)
skew
57.
A rectangle has one obtuse angle.
a)
Never
b)
Sometimes
c)
Always
58.
A trapezoid is a parallelogram.
a)
True
b)
False
59.
A square is a rectangle.
a)
Never
b)
Sometimes
c)
Always
60.
A parallelogram is rectangle.
a)
Never
b)
Sometimes
c)
Always
61.
Rhombus: Find the measure of ∠2:
a)
59°
b)
45°
c)
118°
d)
90°
62.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
63.
Parallelograms are ...
a)
triangles
b)
quadrilaterals
c)
pentagons
d)
hexagons
64.
The opposite sides of a parallelogram are...
a)
congruent
b)
perpendicular
c)
skew
d)
supplementary
65.
Find the value of x that makes that shape a kite.
a)
x = 4.5
b)
x= 4
c)
x = 2
d)
x = 5
66.
Solve for Angle 1 and Angle 2.
a)
1= 92 degrees & 2 = 46 degrees
b)
1 = 118 degrees & 2 = 118 degrees
c)
1 = 92 degrees & 2 = 92 degrees
d)
1 = 46 degrees & 2 = 190 degrees
67.
A quadrilateral with 2 pairs of consecutive sides that are congruent.
a)
Rhombus
b)
Rectangle
c)
Kite
d)
Square
68.
The diagonals in a kite  __________.
a)
are perpendicular
b)
are congruent
c)
bisect each other
69.
The diagonals of an isosceles trapezoid are congruent.
a)
True
b)
False
70.

An interior angle of a regular polygon is 168°. How many sides does this regular polygon have?

a)

25

b)

30

c)

35

d)

40

71.

For a regular polygon, the interior angle is 8 times the exterior angle. How many sides are there for this regular polygon?

a)

18

b)

20

c)

22

d)

24

72.

The figure shows a regular polygon. Determine the size of angle x

a)

110°

b)

120°

c)

130°

d)

140°

73.

Three of this regular polygon will tessellate. How many sides are there in one of these regular polygons?

a)

3

b)

4

c)

6

d)

8

74.

The diagram shows two overlapping octagons. Determine the size of angle x.

a)

22.5°

b)

45°

c)

90°

d)

135°

75.

Three regular pentagons are arranged as shown. Determine the size of angle x.

a)

20°

b)

24°

c)

30°

d)

36°

76.

The figure shows a regular pentagon. Determine the size of angle x.

a)

20°

b)

24°

c)

30°

d)

36°

77.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
78.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
79.
Which side is the long leg in this 30-60-90 triangle?
a)
4
b)
u
c)
v
80.
I have been given the short leg in this 30-60-90 triangle.  How do I find the long leg?
a)
Multiply 4 by 2
b)
Multiply 4 by √3
c)
Multiply 4 by √2
d)
Divide 4 by 2
81.
What is the length of u and v in this 30-60-90 triangle?
a)
u = 8 v = 4√3
b)
u = 4√2 v = 8
c)
u = 16 v = 8
d)
u = 4√3 v = 8
82.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 1.5√3 y =1.5
c)
x = 3√3 y = 6
d)
x = √3 y = 2√3
83.

What ratio represents the cos(A)?

a)

cos(A) = 4.5∕7.5

b)

cos(A) = 6∕7.5

c)

cos(A) = 7.5∕6

d)

cos(A) = 4.5∕6

84.

What ratio represents the sin(B)?

a)

sin(B) = 4.5∕7.5

b)

sin(B) = 7.5∕4.5

c)

sin(B) = 7.5∕6

d)

sin(B) = 6∕7.5

85.

What ratio represents the tan(B)?

a)

6∕4.5

b)

4.5∕6

c)

6∕7.5

d)

4.5∕7.5

86.

What object is representing the opposite side of angle X?

a)

Ladder

b)

Tree

c)

Ground

87.
a)
18.9
b)
19.5
c)
47
d)
27.5
88.
a)
38
b)
63
c)
20
d)
98
89.
If you are given the hypotenuse and an adjacent side, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
90.
a)
27.1
b)
74.8
c)
35.9
d)
56.3

Similar Resources on Wayground

Ancient Greece - Part 2

90 questions

Ancient Greece - Part 2

quiz

Worksheet

•

7th Grade - University

Semester #2 (part 2) IM2 Practice Final (23-24)

88 questions

Semester #2 (part 2) IM2 Practice Final (23-24)

quiz

Worksheet

•

9th - 12th Grade

Statistical Analysis Practice

95 questions

Statistical Analysis Practice

quiz

Worksheet

•

10th Grade

Matemáticas I - Repaso General

90 questions

Matemáticas I - Repaso General

quiz

Worksheet

•

7th - 8th Grade

Dilations

91 questions

Dilations

quiz

Worksheet

•

10th Grade

distance formula

85 questions

distance formula

quiz

Worksheet

•

8th Grade

Chapter 1-3 Review

91 questions

Chapter 1-3 Review

quiz

Worksheet

•

8th Grade

Algebra 1 Final Exam

94 questions

Algebra 1 Final Exam

quiz

Worksheet

•

8th - 10th Grade