Free Printable Unit 6 Review 1

1.

What is the formula for Pythagorean theorem?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

2.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

3.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

4.

Which set of side lengths does not form a right triangle?

a)

38, 80, 90

b)

16, 63, 65

c)

36, 77, 85

d)

14, 15, 29

5.

Which set of side lengths form a right triangle?

a)

3, 4, 7

b)

33, 56, 65

c)

66, 72, 97

d)

10, 15, 25

6.

Is this triangle a right triangle?

a)

yes

b)

no

7.

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

8.

State if the three sides lengths form an acute, obtuse, or right triangle:

6 mi, 17 mi, 2√55 mi

a)

acute

b)

obtuse

c)

right

9.

Find x.

a)

22

b)

11√3

c)

11√2

d)

11

10.

Find x.

a)

10

b)

10√3

c)

10√2

d)

20

11.

Find a.

a)

12

b)

24

c)

24√3

d)

16

12.

Find a.

a)

2√3

b)

2

c)

12

d)

6

13.

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

a)

8√2

b)

4√2

c)

4

d)

8

14.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

15.

Use the 45-45-90 theorem to solve for the hypotenuse.

a)

16

b)

8

c)

8√2

d)

√16

16.

Solve for a and b in the special right triangle.

a)

a = 5, b = 5

b)

a = 10, b = 10√2

c)

a = 10√2, b = 10√2

d)

a = 5√2, b = 5√2

17.

Find the length of the missing side x...

Round your answer to 1 decimal place.

a)

15.1 cm

b)

15.2 cm

c)

10.1 cm

d)

10.2 cm

18.

Find the length of the missing side x...

Round your answer to 1 decimal place.

a)

8.3 cm

b)

16.7 cm

c)

11.8 cm

d)

8.4 cm

19.

Find the length of the missing side x...

Round your answer to 1 decimal place.

a)

3.8 cm

b)

28.8 cm

c)

3.9 cm

d)

3.6 cm

20.

Find the length of the missing side x...

Round your answer to 1 decimal place.

a)

5.7 cm

b)

5.8 cm

c)

17.1 cm

d)

8.6 cm

21.

What is the length of the hypotenuse?

a)

16

b)

30

c)

34

22.

What is the length of the side opposite ∠X?

a)

16

b)

30

c)

34

23.

What is the length of the side opposite ∠Z?

a)

16

b)

30

c)

34

24.

What is the length of the side adjacent to ∠Z?

a)

16

b)

30

c)

34

25.

What is the length of the side adjacent to ∠A?

a)

30

b)

40

c)

50

26.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

27.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

28.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

29.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

30.

Choose the correct step in solving for x.

a)

$3\tan46\degree=x$

b)

$\frac{3}{\tan46\degree}=x$

c)

$3\cos46\degree=x$

d)

$\frac{3}{\cos46\degree}=x$

e)

$\frac{3}{\sin46\degree}=x$

31.

Choose the correct step in solving for x.

a)

$3.1\cos20.8\degree=x$

b)

$3.1\sin20.8\degree=x$

c)

$3.1\tan20.8\degree=x$

32.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

33.

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

a)

49°

b)

57°

c)

45°

d)

54°

34.

Solve for the missing angle

a)

32°

b)

44°

c)

61°

d)

50°

35.

Solve for the missing angle.

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

36.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

37.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

38.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

39.

The Pythagorean Theorem is
a² + b²+ c²

a)

false

b)

true

40.

If three sides of a right triangle are 5, 3, and 4, which side is the hypotenuse?

a)

5

b)

3

c)

4

41.

What are the 2 shorter sides of a right triangle called?

a)

Hypotenuse

b)

Pythagorean Theorem

c)

Legs

d)

Right triangle

42.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

43.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

44.

Find x.

a)

30°

b)

60°

c)

90°

d)

180°

45.

Find x.

a)

30°

b)

45°

c)

60°

d)

90°

46.

Find x.

a)

90°

b)

45°

c)

30°

d)

60°

47.

Find x.

a)

10

b)

√3

c)

5

d)

10√3

48.

Find x.

a)

4

b)

2

c)

√3

d)

2√2

49.

Find x.

a)

12

b)

√2

c)

√3

d)

6

50.

Determine the value of: sin(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

51.

Determine the value of: cos(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

52.

Determine the value of: tan(C)

a)

7 / 25

b)

24 / 25

c)

25 / 7

d)

24 / 7

53.

Consider angle B in the diagram below.

What is the length of "opposite side" to angle B?

a)

6

b)

8

c)

10

d)

not possible to determine

54.

Consider angle B in the diagram below.

What is the length of "adjacent side" to angle <B?

a)

6

b)

8

c)

10

d)

not possible to determine

55.

Which trigonometric function would you use to find "h", the height of the tree?

a)

sine

b)

cosine

c)

tangent

d)

none of these

56.

Which inverse trig function would you use to find the measure of Angle A?

a)

inverse sine

b)

inverse cosine

c)

inverse tangent

d)

It is not possible to determine m<A

57.

True or False. To find the missing side length in the diagram, use the Pythagorean Theorem.

a)

True

b)

False

58.

Which expression is correct for "y"?

a)

y = tan^–1(31/23)

b)

y = sin^–1(31/23)

c)

y = cos^–1(31/23)

59.

Which is the best strategy to use for finding the length of the missing side?

a)

sine

b)

cosine

c)

tangent

d)

Pythagorean Theorem

60.

How would you find the value of the angle denoted by "?"

a)

Apply the inverse sine

b)

Apply the inverse cosine

c)

Apply the inverse tangent

d)

Apply the Pythagorean Theorem

61.

What is the most efficient way to find "y"?

a)

Inverse sine

b)

Inverse cosine

c)

Inverse tangent

d)

Pythagorean Theorem

62.

What is the most efficient way to find "x"?

a)

Inverse sine

b)

Inverse cosine

c)

Inverse tangent

d)

Pythagorean Theorem

Unit 6 Review 1

Total questions: 62

Worksheet time: 4hrs 30mins

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