Free Printable Geometry Final exam review

1.

$\overrightarrow{xy}\$ What does this represent?

a)

Ray xy

b)

Line xy

c)

Line segment xy

d)

Point xy

2.

$\overline{xy}$ What does this represent?

a)

Ray xy

b)

Line xy

c)

Line segment xy

d)

Point xy

3.

Given angle $\angle GHI$ , what's the vertex?

a)

G

b)

H

c)

I

d)

None

4.

Which term describes this figure?

a)

Angle

b)

Ray

c)

Line segment

d)

Line

5.

Which term describes the figure?

a)

Angle

b)

Ray

c)

Line segment

d)

Line

6.

Which term describes the figure?

a)

Angle

b)

Ray

c)

Line segment

d)

Line

7.

Which term describes the figure?

a)

Angle

b)

Ray

c)

Line segment

d)

Line

8.

Find HG.

a)

8

b)

9

c)

10

d)

11

9.

XY =

a)

6

b)

28

c)

11

d)

7

10.

Find AB - Hint: count the spaces on the number line

a)

3

b)

4

c)

5

d)

2

11.

Find AC

a)

7

b)

8

c)

22

d)

23

12.

a)

$110\degree$

b)

$97\degree$

c)

$96\degree$

d)

$140\degree$

13.

a)

$24\degree$

b)

$26\degree$

c)

$28\degree$

d)

$20\degree$

14.

Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

a)

$\angle1$ and $\angle6$

b)

$\angle6$ and $\angle5$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

15.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

16.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Correpsonding

d)

Vertical Angles

17.

Name the angle relationship.

a)

Consecutive Interior

b)

Alternate Interior

c)

Corresponding

d)

Vertical Angles

18.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

19.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

20.

Solve for x

a)

20

b)

60

c)

80

d)

120

21.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

22.

Angles 4 and 6 are

a)

Corresponding

b)

Alternate Interior

c)

Alternate Exterior

d)

Vertical

23.

Angles 2 and 8 are

a)

Corresponding

b)

Alternate Interior

c)

Alternate Exterior

d)

Vertical

24.

Determine how to translate triangle ABC to triangle A'B'C'.

a)

(x-2, y+5)

b)

(x+2, y-9)

c)

(x-2, y+9)

d)

(x-9, y+2)

25.

What transformation is happening?
(x, y) ----> (x + 2, y - 3)

a)

slide up 2, left 3

b)

slide right 2, up 3

c)

slide right 2, down 3

d)

slide left 3, right 2

26.

Identify the transformation from ABC to A'B'C'.

a)

Reflection across the x-axis

b)

Reflection across the y-axis

c)

90^o clockwise rotation

d)

90^o counterclockwise rotation

27.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

28.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then reflect across the y-axis.

b)

Translate up and then rotate 90 degrees about the origin.

29.

What is this picture an example of?

a)

Reflection

b)

Translation

c)

Rotation

d)

Dilation

30.

Describe the Transformation

a)

Dilation

b)

Reflection

c)

Translation

d)

Rotation

31.

Which answer shows a reflection across the y-axis?

a)

a

b)

b

c)

c

d)

d

32.

What type of transformation is shown?

a)

Translation

b)

Reflection

c)

Rotation

33.

Which postulate can be used to prove the triangles congruent?

a)

ASA

b)

SAS

c)

AAS

d)

SSS

34.

Which additional piece of information would be needed to prove the triangles congruent using ASA?

a)

m<A = m<F

b)

AB = FE

c)

m<C = m<D

d)

AC = FD

35.

Which postulate can be used to prove triangle GEF is congruent to triangle GJH?

a)

SAS

b)

ASA

c)

AAS

d)

Not congruent

36.

For the given picture, EF = BC and AB = DE. Which postulate can be used to prove the triangles congruent?

a)

SAS

b)

ASA

c)

AAS

d)

HL

37.

For the given triangles, AD = CB and EC = EA. Which postulate can be used to prove the triangles congruent?

a)

SAS

b)

ASA

c)

AAS

d)

Not congruent

38.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

39.

Sides in similar figures must be proportional.

a)

True

b)

False

40.

Matching angles are called

a)

Corresponding Sides

b)

Corresponding Angles

c)

The Same

d)

Congruent Angles

41.

Matching sides are called

a)

Corresponding Sides

b)

Corresponding Angles

c)

The Same

d)

Congruent Sides

42.

a)

20

b)

30

c)

25

d)

23

43.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

44.

a)

205

b)

105

c)

230

d)

135

45.

Find X

a)

35

b)

20

c)

8

d)

12

46.

Solve for the walkway length

a)

30

b)

40

c)

58

d)

35

47.

Heidi helped build a slide at a local park. The ladder is 6 feet high, and the slide is 7 feet long. Approximately how far is the bottom of the ladder from the bottom of the slide?

a)

3.6 feet

b)

9.2 feet

c)

13 feet

d)

6.5 feet

48.

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

49.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

50.

What is side C called.

a)

Legs

b)

Hypotenuse

51.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

52.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

53.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

54.

Find the missing side. Round your answer to the nearest tenth.

a)

17.5

b)

18.1

c)

16.8

d)

16.2

55.

Find the missing side. Round your answer to the nearest tenth.

a)

23.4

b)

25.1

c)

23

d)

25

56.

Find the missing side. Round your answer to the nearest tenth.

a)

28.1

b)

29.3

c)

20.2

d)

29

57.

Find the missing side. Round your answer to the nearest tenth.

a)

4.9

b)

8.2

c)

16.2

d)

5.6

58.

Find the missing side. Round your answer to the nearest tenth.

a)

34.7

b)

36.3

c)

30.1

d)

2.2

59.

Find the missing side. Round your answer to the nearest tenth.

a)

8

b)

8.3

c)

40.4

d)

9.4

60.

Find the missing side. Round your answer to the nearest tenth.

a)

11.5

b)

35.7

c)

34.8

d)

33.9

61.

Find the missing side. Round your answer to the nearest tenth.

a)

31

b)

31.8

c)

34.8

d)

38.1

62.

Solve for the missing variable below (round to the nearest hundredth):

$\frac{\ \ 32.4\ oz}{4\ rats}=\frac{w}{15\ rats}$

a)

1.85

b)

8.64

c)

121.5

d)

194.4

e)

486.0

63.

a)

1

b)

3

c)

12

d)

4

64.

a)

3

b)

5.3

c)

1.08

d)

27

65.

a)

27

b)

12

c)

1.333

d)

3.67

66.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

67.

Solve the proportion:

a)

4

b)

8

c)

14

d)

10

68.

Solve the proportion.

a)

p=31.3

b)

p=308

c)

p=924

d)

p=532

69.

Do the ratios form a proportion?

a)

Yes, they form a proportion.

b)

No, they do not form a proportion.

70.

Does this picture show the diameter or radius of a circle?

a)

Diameter

b)

Radius

71.

What two formulas can you use to find the circumference?

a)

C = π·d

b)

C = π·r²

c)

C = 2·π·r

d)

C = d²

72.

What is the diameter of a circle?

a)

the distance around a circle

b)

the area of a circle

c)

halfway through a circle

d)

a line through the center of a circle

73.

What number represents π?

a)

31.4

b)

4.13

c)

3.14

d)

34.1

74.

Find the circumference of the circle.

a)

31.4 cm

b)

78.5 cm

c)

314 cm

d)

15.7 cm

75.

Find the circumference of the circle.

a)

78.5 cm

b)

15.7 cm

c)

7.85 cm

d)

19.6 cm

76.

Find the circumference of the circle.

a)

18.8 cm

b)

113 cm

c)

37.7 cm

d)

452.2 cm

77.

Find the circumference of the circle.

a)

38.47 cm

b)

10.99 cm

c)

43.96 cm

d)

21.98 cm

78.

Find the circumference of the circle.

a)

14.13 cm

b)

63.56 cm

c)

28.26 cm

d)

127.17 cm

79.

A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's approximate circumference?

a)

3 m

b)

9.42 m

c)

12 m

d)

18.84 m

80.

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

a)

πr²

b)

2πr

c)

√π

81.

What is the area of this circle?

a)

82.13 m²

b)

78.50 m²

c)

314.16 m²

d)

170.12 m²

82.

Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area?

a)

63.585 ft²

b)

68.345 ft²

c)

64.585 ft²

d)

61.345 ft²

83.

What is the area of this circle?

a)

163.2

b)

15.3

c)

124.2

d)

113.1

84.

What is the area of this circle?

a)

6082.12

b)

1520.53

c)

1893.14

d)

1292.92

85.

Find the length of the bolded arc. Use 3.14 for $\pi$ and round to the nearest hundredth.

(a)

86.

What is the are of the blue shaded sector?

a)

19.6 m²

b)

3.9 m²

c)

7.9 m²

d)

78.5 m

87.

Calculate the length of the bold arc.

a)

49.7 ft

b)

15.8 ft

c)

24.9 ft

d)

3.14 ft

88.

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.

89.

What is the area of the shaded sector?

a)

339.12 in²

b)

113.04 in²

c)

339.29 in²

d)

None of the above

90.

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

91.

A cylinder has a radius of 3 cm and a height of 7 cm. What is its volume? Use $\pi r^2h$ for the volume of a cylinder.

a)

$63\pi$ cm $^3$

b)

$21\pi$ cm $^3$

c)

$42\pi$ cm $^3$

d)

$126\pi$ cm $^3$

92.

Find the volume of a sphere with a radius of 6 cm. Use $\frac{4}{3}\pi r^3$ for the volume of a sphere.

a)

$288\pi$ cm $^3$

b)

$72\pi$ cm $^3$

c)

$432\pi$ cm $^3$

d)

$216\pi$ cm $^3$

93.

A cone has a diameter of 10 cm and a height of 15 cm. What is its volume?

a)

$250\pi$ cm $^3$

b)

$500\pi$ cm $^3$

c)

$750\pi$ cm $^3$

d)

$1,000\pi$ cm $^3$

94.

What is the volume of a cylinder with a diameter of 8 cm and a height of 10 cm?

a)

$320\pi$ cm $^3$

b)

$160\pi$ cm $^3$

c)

$640\pi$ cm $^3$

d)

$80\pi$ cm $^3$

95.

Calculate the Volume

a)

410 cm³

b)

420 cm³

c)

402 cm³

d)

401 cm³

96.

Find the surface area

a)

$17\ in^2$

b)

$164\ in^2$

c)

$120\ in^2$

d)

$134\ in^2$

97.

Sally has a cube she wants to find the volume of, the base is 6 cm, the height is 8 cm and the width is 12 cm. What's the volume?

a)

The volume is 576cubic cm.

b)

The volume is 50cubic cm.

c)

The volume is 100cubic cm.

d)

The volume is 70cubic cm.

98.

Bob has a rectangular prism gift box, what is the volume of Bob's gift box?

a)

The volume of Bob's gift box is 64in³.

b)

The volume of Bob's gift box is 60in³.

c)

The volume of Bob's gift box is 240in³.

d)

The volume of Bob's gift box is 24in³.

99.

Maria wants to fill the rectangular prism with chocolate, what is the volume of Maria's figure?

a)

The volume of Maria's figure is 150ft³

b)

The volume of Maria's figure is 168ft³

c)

The volume of Maria's figure is 220ft³

d)

The volume of Maria's figure is 200ft³

100.

Find the volume of the given figure.

a)

308.9 cm³

b)

308.2 cm³

c)

312.8 cm³

d)

302.9 cm³

Geometry Final exam review

Total questions: 100

Worksheet time: 7hrs 54mins

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