Free Printable 4th 9 Weeks Geometry Exam Review

1.

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?

a)

144 feet

b)

72 feet

c)

36 feet

2.

At the same time a 6 foot person casts a 2 foot shadow, a nearby flagpole casts a ten foot shadow. How tall is the flagpole?

a)

3 feet

b)

10 feet

c)

16 feet

d)

30 feet

3.

Name the smallest angle in this triangle.

a)

∠A

b)

∠B

c)

∠C

4.

What is a possible third side to a triangle with side lengths of 5 and 5?

a)

9

b)

10

c)

11

d)

12

5.

What is a possible third side to a triangle with side lengths of 13 and 4?

a)

9

b)

12

c)

8

d)

5

6.

Complete the Theorem:

"The sum of the angles of any triangle..."

a)

...is equal to the measure of the third side.

b)

...is equal to 90 $\degree$ .

c)

...Is equal to 360 $\degree$ .

d)

...is equal to 180 $\degree$ .

7.

The sum of the lengths of any two sides of a triangle is ____ than the third side.

a)

greater than

b)

less than

c)

equal to

8.

In a right angled triangle, if one angle is 45 degree then the measure of the third angle is ______

a)

90⁰

b)

45⁰

c)

180⁰

9.

Which is the longest side of a right angle?

a)

perpendicular

b)

hypotenuse

c)

base

10.

What is the SUM of the angle measures in a hexagon (6 sides)?

a)

720°

b)

1080°

c)

600°

d)

540°

11.

What is the sum of the interior angles for a 24-gon

a)

3960

b)

360

c)

15

d)

4280

12.

Find the value of X.

a)

100

b)

120

c)

125

d)

130

13.

What type of triangle is this?

a)

Right Triangle

b)

Acute Triangle

c)

Obtuse Triangle

14.

Do the following sides make a triangle. If so what type of triangle do they make?

Sides: 5. 13, 12

a)

Right Triangle

b)

Acute Triangle

c)

Obtuse Triangle

d)

Not a Triangle

15.

Do the following sides make a triangle? If so what kind of triangle do they make?

4, 5, 6

a)

Right Triangle

b)

Acute Triangle

c)

Obtuse Triangle

d)

Not a Triangle

16.

Are the following similar? Why or why not?

a)

Yes

b)

No, the corresponding angles are not equal.

c)

No, the ratios of the corresponding sides are not equal.

17.

Find the missing measure.

a)

12

b)

14

c)

196

d)

168

18.

Solve for x.

a)

100

b)

143

c)

4

d)

95

19.

Click to see image.

a)

A

b)

B

c)

C

d)

D

20.

Find the missing side. (Calculators are allowed)

a)

9

b)

41

c)

6.4

d)

3

21.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

22.

Simplify:
√40

a)

4√10

b)

10√4

c)

2√10

d)

10√2

23.

√108

a)

3√12

b)

4√27

c)

8√2

d)

6√3

24.

What is the length of x in this 45-45-90 triangle?

a)

4√2

b)

4

c)

8

d)

4√3

25.

In this isosceles triangle, what is the length of x?

a)

8√2

b)

$\frac{8}{\sqrt{2}}$

c)

16

d)

8

26.

Which is the length of v in this 30-60-90 triangle?

a)

$4\sqrt{3}$

b)

4

c)

8

d)

$4\sqrt{2}$

27.

In this 30-60-90 triangle, what is the length of the hypotenuse?

a)

4√2

b)

4√3

c)

4

d)

8

28.

Which one is the easy way to remember trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

29.

If you are given the two sides that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

30.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

31.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

32.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

33.

What is the ratio for Cosine?

a)

$\frac{opp}{hyp}$

b)

$\frac{opp}{adj}$

c)

$\frac{adj}{opp}$

d)

$\frac{adj}{hyp}$

34.

What is the ratio for Sine?

a)

$\frac{hyp}{opp}$

b)

$\frac{opp}{hyp}$

c)

$\frac{opp}{adj}$

d)

$\frac{adj}{opp}$

35.

Which side is the hypotenuse?

a)

1

b)

2

c)

3

36.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

37.

Which trig function would you use to solve for x?

a)

$\sin37=\frac{11}{x}$

b)

$\cos37=\frac{11}{x}$

c)

$\tan37=\frac{11}{x}$

38.

Select the correct ratio for CosC

a)

$\frac{30}{34}$

b)

$\frac{16}{34}$

c)

$\frac{17}{15}$

d)

$\frac{30}{16}$

39.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

40.

Find the measure of AB.

a)

11.6

b)

6.99

c)

14.3

d)

5.7

41.

Find the measure of the missing angle.

a)

28.1

b)

61.9

c)

25.2

d)

56.1

42.

Find AB

a)

10

b)

8

c)

6.1

d)

4.9

43.

What is the measure of angle A?

a)

58 degrees

b)

61 degrees

c)

78 degrees

d)

74 degrees

44.

What is the measure of angle A?

a)

50 degrees

b)

60 degrees

c)

78 degrees

d)

74 degrees

45.

Find b

a)

12

b)

10

c)

23

d)

14

46.

find X

a)

52

b)

33

c)

41

d)

29

47.

Use the Law of Sines to solve for a

a)

33

b)

24

c)

12

d)

29

48.

A segment whose endpoints lie on a circle is a _______.

a)

tangent

b)

chord

c)

diameter

d)

secant

49.

A tangent to a circle is ________________________ to the radius drawn to the point of tangency.

a)

congruent

b)

perpendicular

c)

complimentary

d)

supplementary

50.

What is the value of x if both segments are tangent to the circle?

a)

A

b)

B

c)

C

d)

D

51.

In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)

a)

15

b)

6

c)

-24

d)

14

52.

What is the value of DC? (to the nearest hundredth)

a)

9.43

b)

4.43

c)

√89

d)

9

53.

Find the length of BC.

a)

2

b)

3

c)

9

d)

14

54.

What is the value of x?

a)

22

b)

25

c)

15

d)

20

55.

Which shows a tangent line?

a)

b)

c)

d)

56.

Using the tangent lines, find the value of x.

a)

60

b)

120

c)

30

d)

300

57.

Using lines tangent to the circle, find the value of x.

a)

57

b)

137

c)

47

d)

257

58.

What is the area of a circle with the diameter of 10cm ?

a)

66cm

b)

78.5cm

c)

66.5cm

d)

10m

59.

Find the area of the circle

a)

56.52

b)

254.34

c)

1017.36

d)

113.04

60.

What is the area of this circle?

a)

62.59 cm²

b)

113.1 cm²

c)

19.81 cm²

d)

28.26 cm²

61.

What is/are the formula(s) to find the area of a circle?

a)

πr²

b)

2πr

c)

√π

62.

What is the area of this circle?

a)

16π

b)

8π

c)

4π

d)

16π²

63.

solve for f

a)

7

b)

14

c)

21

d)

not enough information to solve

64.

Determine the value of x and y.

a)

$x=64^{\circ\ }$ and $y=4$

b)

$x=4$ and $y=64^{\circ}$

c)

$x=116^{\circ}$ and $y=4$

d)

$296^{\circ}$ and $y=4$

65.

In a circle, if a diameter is is perpendicular to a chord, then:

a)

it bisects the chord

b)

it bisects the corresponding arc

c)

it bisects BOTH the chord and its arc

d)

none of these answers are correct

66.

Find the measure of Arc MN

a)

96

b)

114

c)

228

d)

48

67.

Find the value of x.

a)

31,3

b)

8

c)

16.3

d)

-8

68.

Find the value of x.

a)

10

b)

181

c)

34

d)

40

69.

a)

A

b)

B

c)

C

d)

D

70.

a)

A

b)

B

c)

C

d)

D

71.

Find the measure of angle R.

a)

32

b)

24

c)

22

d)

47

72.

Find the measure of arc MN.

a)

138

b)

133

c)

194

d)

125

73.

An angle in a circle with vertex on the circle itself

a)

Angle

b)

Central angle

c)

Inscribed angle

d)

Chord

74.

An angle in a circle with vertex on the center of the circle

a)

Central angle

b)

Angle

c)

Inscribed angle

d)

Circle

75.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

76.

What is the measure of arc FH?

a)

70

b)

35

c)

140

d)

88

77.

Find m∠PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

78.

Which segment is a radius?

a)

LM

b)

DC

c)

BD

d)

ML

79.

Which segment is not a radius?

a)

CA

b)

CB

c)

CD

d)

LM

80.

The distance around a circle

a)

Diameter

b)

Radius

c)

Circumference

d)

Area

81.

a)

A

b)

B

c)

C

d)

D

82.

How far does the catcher throw the ball from home plate to 2nd base?

a)

63.6 ft

b)

16,129 ft

c)

13.4 ft

d)

127.3 ft

83.

Solve for x.

a)

38.9

b)

40.2

c)

45.6

d)

54

84.

A fireman leans a ladder that is 13 feet long against a tree. The base of the ladder is 5 feet from the base of the tree. How far up the tree will the ladder reach?

a)

13.9 feet

b)

12 feet

c)

4.2 feet

d)

18 feet

85.

A group of boys are building a skate ramp onto the side of a concrete ledge. The concrete ledge is 4 feet tall. If the board they are using is 6 feet long, how many feet from the concrete will the end of the board reach?

a)

5 feet

b)

7.2 feet

c)

8 feet

d)

4.5 feet

86.

If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?

a)

sine

b)

cosine

c)

tangent

d)

You can only use trig functions on right triangles.

87.

Which one is the easy way to remember trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

88.

The distance all the way around the circle is called the...

a)

radius

b)

diameter

c)

circumference

d)

area

89.

The distance across the circle through the center is called the...

a)

radius

b)

diameter

c)

circumference

d)

area

90.

The diameter of a circle is:

a)

The measurement around the circle.

b)

The distance from an edge of a circle to another edge.

c)

The distance from the center of the circle to an edge of a circle

d)

The distance from an edge of a circle to another edge through the center.

91.

An arc is...

a)

A line that passes through the center and goes from edge to edge.

b)

A part of the circumference.

c)

A boat.

d)

A line that touches the circle once.

92.

A chord is a segment that connects ___________

a)

the center to the endpoint

b)

to one point outside the circle

c)

a central angle

d)

2 endpoints of a circle

93.

Two circles are congruent if they have the same __________

a)

Center

b)

Radius

c)

Inscribed Angle

d)

Central Angle

94.

What is the part of the circle highlighted in red called?

a)

semi-circle arc

b)

major arc

c)

minor arc

d)

sector

95.

What can this formula be used to find?

a)

area of a circle

b)

arc length of an arc

c)

sector area

d)

circumference of a circle

96.

What is this called?

a)

Tangent Line

b)

Central Angle

c)

Chord

d)

Inscribed Angle

97.

Find the arc length of the bolded arc. Give your answer in terms of π.

a)

(65/12)π cm

b)

17.02 cm

c)

(845/24)π cm

d)

26π cm

98.

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

a)

5

b)

9

c)

8

d)

6

99.

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.

100.

If a quadrilateral is inscribed in a circle, then its ____angles are _____.

a)

adjacent; complimentary

b)

opposite; complimentary

c)

adjacent; supplementary

d)

opposite; supplementary

101.

Find the area of the shaded sector of the circle.

a)

b)

c)

d)

102.

Steven purchases a bowl. The diameter of the
bowl is 14 cm. What is the circumference of the
bowl?

a)

28 cm

b)

43.98 cm

c)

87.96 cm

d)

7 cm

103.

a)

18

b)

19

c)

20

d)

21

104.

How many squares are in this picture?

a)

26

b)

18

c)

36

d)

40

105.

Find the pattern to determine the correct answer.

a)

900

b)

90

c)

910

d)

810

106.

What is the missing number?

a)

9

b)

18

c)

34

d)

22

107.

37, 34, 31, 28

Which number should come next in the pattern?

a)

24

b)

25

c)

23

d)

27

108.

If you are in a race and you pass the person in second place what place are you in?

a)

1st

b)

2nd

c)

3rd

d)

4th

109.

37, 34, 31, 28
Which number should come next in the pattern?

a)

24

b)

23

c)

25

d)

27

110.

How many triangles are in this picture?

a)

14

b)

35

c)

10

d)

27

111.

^{Who's the Richest?}
^{Four friends have all been saving money. Brad has more than Adam but not as much as George. Jenny has more than George. List in order of who has the least to the greatest.}

a)

Adam, Jenny, George, Brad

b)

Jenny, Adam, George, Brad

c)

Adam, Brad, George, Jenny

d)

Jenny, George, Brad, Adam

112.

Jane has 18 juice boxes, 24 bags of peanuts and 36 apples. She wants to make snack bags with the same number of each thing in each bag. What is the greatest number of snack bags Jane can make.

a)

4

b)

6

c)

8

d)

10

113.

The sum of two prime numbers is 85. What is the product of these two prime numbers?

a)

91

b)

115

c)

133

d)

166

114.

Banana Equals

a)

10

b)

15

c)

4

d)

8

115.

Solve for ?

a)

20

b)

21

c)

13

d)

25

4th 9 Weeks Geometry Exam Review

Total questions: 115

Worksheet time: 8hrs 36mins

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