Free Printable QSE 3 Review

1.

This composite picture depicts two similar triangles. Find AE.

a)

12.5

b)

18

c)

11.75

d)

13

2.

If the triangles are similar, find x

a)

90

b)

60

c)

30

d)

15

3.

Given two similar triangles, matching sides are called

a)

Corresponding Sides

b)

Corresponding Angles

c)

The Same

d)

Congruent Sides

4.

What is the value of X and Y ?

a)

X=2.5 and Y=6.5

b)

X=6.5 and Y=2.5

c)

X=3 and Y=7

d)

X=2 and Y= 5

5.

Find the missing length indicated.

a)

16

b)

8

c)

10

d)

14

6.

Find the missing length indicated.

a)

28

b)

8

c)

20

d)

14

7.

Are the triangles similar? If so, what similarity test is used?

a)

Similar. SSS

b)

Similar. SAS

c)

Similar. AA

d)

Not Similar.

8.

Are the triangles similar? If so, what similarity test is used?

a)

Similar. SAS

b)

Similar. AA

c)

Similar. SSS

d)

Not Similar

9.

Write the similarity statement for the triangle pair

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

10.

Solve for x.

a)

448

b)

88

c)

56

d)

0.8

11.

Solve for x.

a)

21

b)

27/7

c)

13

d)

18

12.

Give the reason for similarity.

a)

AA

b)

SAS

c)

Not Similar

d)

AAS

13.

Give the reason for similarity

a)

AA

b)

Not Similar

c)

SAS

d)

SSS

14.

Give the reason for similarity

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

15.

Solve for x.

a)

100

b)

1

c)

0.1

d)

10

16.

Are the triangles similar? If so, what similarity test is used?

a)

Similar. SAS

b)

Similar. AA

c)

Similar. SSS

d)

Need More Information a/o Not Similar

17.

The triangles are similar by...

a)

SAS

b)

AA

c)

ASA

d)

Need More Information a/o Not Similar

18.

If the triangles are similar, state how.

a)

SSS

b)

SAS

c)

AA

d)

Need More Information a/o Not Similar

19.

Determine whether the triangles are similar.

a)

SSS

b)

AA

c)

SAS

d)

Need More Information a/o Not Similar

20.

Find the missing length indicated.

a)

30

b)

25

c)

45

d)

50

21.

Identify the reason the two triangles are similar.

a)

AA

b)

SAS

c)

SSS

d)

Need More Information a/o Not Similar

22.

Identify why the two triangles are similar.

a)

AA

b)

SAS

c)

SSS

d)

Need More Information a/o Not Similar

23.

Each angle of two similar triangles:

a)

is proportional to a corresponding angle in the other triangle.

b)

is congruent to a corresponding angle in the other triangle.

c)

I have no clue, but I plan to know by test day!

24.

Each side of two similar triangles:

a)

is proportional to a corresponding side in the other triangle.

b)

is congruent to a corresponding side in the other triangle.

c)

I have no clue, but I plan to know by test day!

25.

Given the similarity statement pictured, which angle is congruent and corresponds to angle D?

a)

Angle A

b)

Angle B

c)

Angle C

d)

Angle E

26.

Given the similarity statement pictured, which angle is congruent and corresponds to angle A?

a)

Angle A

b)

Angle B

c)

Angle C

d)

Angle E

27.

Given the similarity statement pictured, which side is proportional and corresponds to side AE?

a)

AB

b)

BE

c)

CD

d)

CE

28.

Given the similarity statement pictured, which side is proportional and corresponds to side ED?

a)

AE

b)

AB

c)

BE

d)

EB

29.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

30.

Solve the proportion

a)

48

b)

6

c)

8

d)

24

31.

To find the height of a very tall pine tree, you measure your shadow and the tree's shadow. How tall is the tree?

a)

144 feet

b)

72 feet

c)

36 feet

32.

Solve the equation for x:

a)

17

b)

16

c)

15

d)

14

33.

Solve:

a)

6

b)

7

c)

-8

d)

-5

34.

Solve for DC

a)

1.5

b)

17.1

c)

8.4

d)

3.5

35.

Solve for x.

a)

3

b)

6

c)

8

d)

9

36.

Find the height of the tree.

a)

8 ft

b)

12 ft

c)

13 ft

d)

15 ft

37.

a)

15

b)

13

c)

11

d)

17

38.

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

39.

a)

d = 2

b)

d = 3

c)

d = 1.62

d)

d = 1.7

40.

y =

a)

10

b)

5

c)

5√2

d)

5/√2

41.

x =

a)

45

b)

5√2

c)

90

d)

5

42.

x =

a)

4

b)

4√2.

c)

8

d)

4/√2.

43.

x =

a)

4√2

b)

4

c)

8

d)

4√3

44.

y =

a)

8√2

b)

4√2

c)

4

d)

8

45.

v =

a)

8

b)

4√2

c)

4√3

d)

2

46.

n =

a)

6√2

b)

12

c)

3

d)

6√3

47.

u =

a)

8

b)

4√3

c)

4√2

d)

2

48.

v =

a)

8

b)

4√3

c)

4√2

d)

4/√3

49.

y =

a)

14

b)

7√3

c)

7/2

d)

7√3/3

50.

u =

a)

8√3

b)

8

c)

16

d)

16√3/3

51.

What are x and y?

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

52.

What are x and y?

a)

x = 6 y = 3√3

b)

x = 3√2 y = 3

c)

x = 3√3 y = 6

d)

x = 3√3 y = 3√2

53.

An equilateral triangle has height 26 cm. What is the length of each side of the triangle, to the nearest centimeter?

a)

26, 13, 23

b)

26, 26, 38

c)

26, 15, 30

d)

26, 42, 38

54.

Find the value of y.

a)

8

b)

4

c)

2√3

d)

8√3

55.

Find the value of y to the nearest tenth.

a)

4.5

b)

3.2

c)

2.3

d)

5

56.

Find the value of y.

a)

7

b)

7√3

c)

14√3

d)

(14√3)/3

57.

Find the value of y.

a)

11√2

b)

11

c)

22

d)

(11√2)/2

58.

Find the value of x.

a)

18

b)

18√3

c)

36√3

d)

12

59.

Find the value of y.

a)

9

b)

18√2

c)

9√2

d)

9√2/2

60.

Which trig ratio uses the adjacent side and the opposite side?

a)

sine

b)

cosine

c)

tangent

61.

Which side is opposite angle x?

a)

1

b)

2

c)

3

62.

Which side is the hypotenuse?

a)

1

b)

2

c)

3

63.

Find x if sin(22) = 2/x.

a)

6.78

b)

0.75

c)

2.14

d)

5.34

64.

If sin(x) = 5⁄14, what is x to the nearest degree?

a)

69⁰

b)

21⁰

c)

1⁰

d)

73⁰

65.

If tan(x) = 13, what is x to the nearest degree?

a)

86⁰

b)

13⁰

c)

72⁰

d)

66⁰

66.

What is cos(47⁰)?

a)

0.73

b)

0.28

c)

0.68

d)

answer not shown

67.

Find x if tan(47) = x/25.

a)

26.81

b)

23.31

c)

61.99

d)

43.76

68.

Kristina is looking out her window at Patrick who is on the ground outside. She is looking down at him at a 15⁰ angle of depression. If Patrick is 30 feet away from the house, how high up is Kristina's window?

a)

62.37 feet

b)

10.92 feet

c)

111.96 feet

d)

8.04 feet

69.

Paschal is putting a ramp outside one of its entrances. The ramp needs to be 7 feet tall, but its angle of elevation cannot be more than 4⁰. How long will the ramp be if the angle of elevation is at its maximum?

a)

100 feet

b)

200 feet

c)

50 feet

d)

75 feet

70.

Find x.

a)

45⁰

b)

90⁰

c)

60⁰

d)

30⁰

71.

Find x.

a)

67.18

b)

4.82

c)

15.51

d)

6.77

72.

Find x.

a)

77⁰

b)

66⁰

c)

24⁰

d)

13⁰

73.

Find x.

a)

4

b)

3

c)

8

d)

6

74.

Find x.

a)

7.2

b)

8.3

c)

9.0

d)

9.6

75.

Find x.

a)

38⁰

b)

24⁰

c)

52⁰

d)

66⁰

76.

Find x.

a)

23⁰

b)

67⁰

c)

78⁰

d)

12⁰

77.

Find x.

a)

7.91

b)

5.33

c)

13.27

d)

9.12

78.

Shannon walks her dog using a 8 foot leash. If the leash is fully extended and Shannon is holding the leash 3 feet off the ground, what angle does the leash make with the ground?

a)

68⁰

b)

22⁰

c)

20⁰

d)

64⁰

79.

Reggie is looking down at an ant. Reggie is 6 feet tall and is 20 inches from the ant. At what angle of depression is Reggie looking down at the ant?

a)

15⁰

b)

35⁰

c)

75⁰

d)

55⁰

80.

Which trig ratio uses the opposite side and the hypotenuse?

a)

sine

b)

cosine

c)

tangent

81.

A person on a boat looks at the top of a lighthouse with a 25⁰ angle of elevation. The lighthouse is 70 feet tall and the boat is 150 feet away from the base of the lighthouse. What is the angle of depression from the top of the lighthouse to the boat?

a)

25⁰

b)

57⁰

c)

23⁰

d)

67⁰

QSE 3 Review

Total questions: 81

Worksheet time: 6hrs 5mins

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