Free Printable Geometry Exam Review

1.

Consecutive angles of parallelograms are ______.

a)

bisected

b)

congruent

c)

supplementary

d)

complementary

2.

The diagonals of a parallelogram _______ each other.

a)

bisect

b)

equal

c)

are perpendicular to

d)

complement

3.

Opposite sides of parallelograms are _______ and _______.

a)

parallel

congruent

b)

congruent

consecutive

c)

parallel

perpendicular

d)

parallel

supplementary

4.

All the angles in a rectangle are _____ angles.

a)

acute

b)

right

c)

obtuse

d)

bisected

5.

All the _____ in a rhombus are congruent.

a)

diagonals

b)

angles

c)

sides

6.

If ABCD is a parallelogram, what is the length of BD?

a)

10

b)

11

c)

7

d)

5

7.

The figure is a parallelogram.
Solve for x.

a)

1

b)

11

c)

7

d)

6

8.

The figure is a parallelogram.
Solve for x.

a)

7

b)

2

c)

0

d)

4

9.

What is the value of x?

a)

132

b)

66

c)

114

d)

48

10.

LMNO is a parallelogram
solve for X

a)

19

b)

20

c)

33

d)

53

11.

The legs of an isosceles trapezoid are _____.

a)

parallel

b)

perpendicular

c)

congruent

d)

skew

12.

How many degrees are in the missing angle?

a)

60°

b)

114°

c)

70°

d)

360°

13.

Find y.

a)

2

b)

4

c)

15

d)

10

14.

Find the measure of DG.

a)

14

b)

28

c)

12

d)

16

15.

Find the value of x.

a)

23

b)

28

c)

30

d)

Cannot be determined

16.

Find the value of x.

a)

18.5

b)

8

c)

11

d)

None of the above.

17.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

18.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

19.

Complete each proportion.
CB / DM = AC / ?

a)

BM

b)

MA

c)

BC

d)

AD

20.

a)

20

b)

30

c)

25

d)

23

21.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

22.

If two figures are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

23.

Are the triangles similar?

a)

Yes

b)

No

24.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

Not similar

25.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

no similar

26.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

27.

Calculate the value of x.

a)

x = 32 m

b)

x = 35 m

c)

x = 40 m

d)

x = 42 m

28.

Calculate the length of AE.

a)

AE = 16 ft

b)

AE = 24 ft

c)

AE = 28 ft

d)

AE = 36 ft

29.

Calculate the length of PR.

a)

PR = 24 ft

b)

PR = 28 ft

c)

PR = 32 ft

d)

PR = 42 ft

30.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

31.

Do the side lengths 6in, 8in, and 10in form a right triangle?

a)

Yes

b)

No

32.

Name the longest side of a right triangle.

a)

leg a

b)

leg b

c)

leg

d)

hypotenuse

33.

Solve for c

a)

7

b)

9

c)

4

d)

13

34.

_{^{Find the missing side}}

a)

29.2

b)

20

c)

400

d)

10

35.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

36.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

37.

Find x.

a)

30°

b)

60°

c)

90°

d)

180°

38.

Find x.

a)

10

b)

√3

c)

5

d)

10√3

39.

Find x.

a)

12

b)

√2

c)

√3

d)

6

40.

What is the measure of side c?

a)

7

b)

$\frac{7}{\sqrt{2}}$

c)

7√2

d)

14

41.

Which side is the long leg in this 30-60-90 triangle?

a)

4

b)

u

c)

v

42.

FInd tanX

a)

32/40

b)

40/24

c)

32/24

d)

24/32

43.

Find cosA

a)

30/16

b)

30/34

c)

30/15

d)

16/34

44.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

45.

Which Trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

46.

Set up the problem.

a)

sin(47) = x/28

b)

cos(47) = x/28

c)

tan(47) = x/28

d)

cos(47) = 28/x

47.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

48.

What is the side opposite angle A?

a)

12

b)

13

c)

5

d)

25

49.

Find the missing side.

a)

12.4

b)

.6

c)

8.1

d)

10

50.

Which equation is true?

a)

sin (x) = 11/27

b)

sin (x) = 27/11

c)

cos (x) = 11/27

d)

tan (x) = 11/27

51.

Which equation is true?

a)

sin (x) = 6/8

b)

cos (x) = 8/6

c)

cos (x) = 6/8

d)

tan (x) = 6/8

52.

Which equation would you use to solve for the unknown angle?

a)

x = sin^–1(4/5)

b)

x = cos^–1(4/5)

c)

x = cos^–1(5/4)

d)

x = tan^–1(4/5)

53.

Which equation would you use to solve for the unknown angle?

a)

x = tan^–1(24/7)

b)

x = tan^–1(7/24)

c)

x = tan^–1(25/7)

d)

x = tan^–1(7/25)

54.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

55.

Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle

a)

32°

b)

44°

c)

61°

d)

50°

56.

What is the measure of arc ABC? **Pay attention to the order of the letters**

a)

156

b)

49

c)

253

d)

311

57.

Find b.

a)

55

b)

35

c)

90

d)

72.5

58.

a)

33

b)

18

c)

46

d)

16

59.

a)

6

b)

8

c)

10

d)

5

60.

a)

8

b)

6

c)

9

d)

10

61.

a)

25

b)

16

c)

4

d)

18

62.

a)

1

b)

2

c)

3

d)

4

63.

a)

How many chords are there: 1

b)

How many chords are there: 5

c)

How many chords are there: 3

d)

How many chords are there: 0

64.

What do we call the red line?

a)

Chord

b)

Arc

c)

Diameter

d)

Segment

65.

What do we call the red line?

a)

Chord

b)

Tangent

c)

Arc

d)

Circumference

66.

a)

A chord

b)

A secant

c)

A sector

d)

A tangent

67.

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

68.

Find the radius r

a)

2

b)

3

c)

4

d)

5

69.

Find the length of BC.

a)

2

b)

3

c)

9

d)

14

70.

What is the value of x?

a)

22

b)

25

c)

15

d)

20

71.

2. measure of arc ST

a)

267

b)

21

c)

93

d)

108

e)

72

72.

$m\angle DCG\ =\$

a)

$0\degree$

b)

$180\degree$

c)

$360\degree$

d)

$253\degree$

73.

$m\angle DCF\ =\$

a)

$73\degree$

b)

$107\degree$

c)

$360\degree$

d)

$261\degree$

e)

$253\degree$

74.

Find the given angle.

a)

59°

b)

118°

c)

70°

d)

242°

75.

What is x?

a)

5

b)

23

c)

2

d)

28

76.

Find the length of the bold arc.Leave pi in your answer.

a)

5688π ft

b)

15.8π ft

c)

150.4π ft

d)

54,150 ft

77.

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet. Find the measure of minor arc AB to the nearest degree.

a)

90

b)

60

c)

55

d)

113

78.

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

79.

What is the circumference of this circle ?

a)

3.14 cm

b)

37.68 cm

c)

24 cm

d)

68.4 cm

80.

What is the arc length of minor arc AB?

a)

5.23

b)

103

c)

33.33

d)

50

81.

Find the area of the shaded sector.

a)

2.1

b)

10.5

c)

3.1

d)

1.9

82.

Find the area of the shaded sector.

a)

17.8

b)

53.4

c)

19.9

d)

59.7

83.

Find the area of the shaded sector.

a)

39.7

b)

139.0

c)

4.3

d)

15.0

84.

What is the surface area of this figure?

a)

200 cm ²

b)

800 cm ²

c)

400 cm ²

d)

1500 cm ²

85.

A rectangular brick has a length of 5 centimeters, a width of 9 centimeters and a surface area of 650 cm². What is the height of the brick?

a)

20 cm

b)

43 cm

c)

14 cm

d)

10 cm

86.

Calculate the surface area of the given shape. Round to the nearest tenth.

a)

282.7 in²

b)

56.5 in²

c)

188.5 in²

d)

245.0 in²

87.

Given a cylinder with a surface area of 2543 cm²and radius of 9 cm, calculate the height of this cylinder to the nearest tenth.

a)

36.0 cm

b)

45.0 cm

c)

10 cm

d)

282.6 cm

88.

Calculate the surface area.

a)

54 m²

b)

96 m²

c)

99 m²

d)

61 m²

89.

Calculate the surface area of the pyramid.

a)

228 m²

b)

144 m²

c)

300 m²

d)

156 m²

90.

Calculate the surface area.

a)

904.78 mm²

b)

452.39 mm²

c)

3,216.99 mm²

d)

3,392.92 mm²

91.

Calculate the surface area.

a)

56.5 in²

b)

91.5 in²

c)

169.56 in²

d)

28.3 in²

92.

A can of chili has a radius of 5.25 cm and a height of 13 cm. Find the volume.

a)

1152.67 cubic cm

b)

1125.67 cubic cm

c)

281.48 cubic cm

d)

255.25 cubic cm

93.

V = ?

a)

150.72 mm³

b)

904.32 mm³

c)

2,712.96 mm³

94.

v = ?

a)

2,144.66 m³

b)

1,608.49 m³

c)

536.17 m³

d)

498.62 m³

95.

Volume = ?

a)

1,356 m³

b)

1,734 m³

c)

377 m³

d)

590 m³

96.

Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.

Which equation can be used to find the volume of the container?

a)

V = π(9)

b)

V = π(4.5)²(32)

c)

V = π(9)²(32)

d)

V = π(4.5)(32)

97.

A sugar cone can hold 25 cm³ of vanilla ice cream and it has a radius of 1.75 cm. How tall is the sugar cone? Round answer to nearest tenth.

a)

h = 7.8 cm

b)

h = 7.0 cm

c)

h = 24.5 cm

d)

h = 1000 cm

98.

What is the radius of a sphere that has a volume of 17,157.3cm³ ?

a)

24cm

b)

16cm

c)

64cm

d)

34cm

99.

The two figures are similar. What is the scale factor of the smaller prism to the larger?

a)

$\frac{729}{1331}$

b)

$\frac{9}{11}$

c)

$\frac{81}{121}$

d)

$\frac{243}{444}$

100.

What is the scale factor of two similar prisms with surface areas of 144 m² and 324 m²

a)

$\frac{2}{3}$

b)

$\frac{4}{9}$

c)

$\frac{72}{162}$

d)

$\frac{12}{18}$

101.

Find the ratio of the volume of the first figure to the second.

a)

4:3

b)

16:9

c)

64:27

d)

12:9

102.

Two spheres have a similarity ratio of 1:4. The smaller sphere has a volume of 16 ft³_. What is the volume of the larger sphere?

a)

64 ft³

b)

1024 ft³

c)

256 ft³

d)

4096 ft³

103.

Area

a)

12 in sq

b)

12 in

c)

24 in sq

d)

6 in sq

104.

Find the area.

a)

60 in

b)

60 in²

c)

50 in

d)

50 in²

105.

Find the area

a)

41

b)

45

c)

44

d)

43

106.

Find the area of a parallelogram with a base of 3.1 ft. and a height of 8 ft.

a)

248 ft²

b)

24.8 ft²

c)

2.48 ft²

d)

2480 ft²

107.

What is the area of this rectangle?

a)

20 square millimeters

b)

28 square millimeters

c)

21 square millimeters

d)

22 square millimeters

108.

What is the area of this kite?

a)

336in ²

b)

552in ²

c)

336 in

d)

456in ²

Geometry Exam Review

Total questions: 108

Worksheet time: 9hrs 2mins

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