Free Printable Chapter 8 Review (8.1-8.3) [8DA]

1.

a)

6.99

b)

6.33

c)

13.59

d)

7.83

2.

a)

20.35

b)

12.72

c)

14.99

d)

21.83

3.

a)

38.66

b)

36.87

c)

53.13

d)

45.71

4.

a)

57.99

b)

51.32

c)

38.68

d)

32.00

5.

a)

9.28

b)

2.87

c)

2.97

d)

8.76

6.

a)

6.09

b)

18.77

c)

5.52

d)

7.68

7.

What is the side across from the right angle called?

a)

Leg

b)

Pythagoras

c)

Hypotenuse

d)

Altitude

8.

What is the correct ratio?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

9.

Which is the correct ratio?

a)

sin 28 = x/14

b)

cos 28 = x/14

c)

tan 28 = x/14

d)

tan 28 = 14/x

10.

Find cos A

a)

30/16

b)

30/34

c)

30/15

d)

16/34

11.

Find sinC

a)

21/35

b)

28/21

c)

35/28

d)

28/35

12.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

13.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

14.

Find tangent of θ.

a)

8/12

b)

23/12

c)

8/23

d)

12/23

15.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

16.

What is the correct ratio you would use to solve for "w"?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

17.

Which is the correct ratio you would use to solve for "x"?

a)

sin 28 = x/14

b)

cos 28 = x/14

c)

tan 28 = x/14

d)

tan 28 = 14/x

18.

What type of triangles do you use the trig ratios with?

a)

any type

b)

right triangles

c)

obtuse triangles

d)

acute triangles

19.

What is the acronym to help you remember the ratios to use in trigonometry?

a)

RIGHTANG

b)

SOHCAHTOA

c)

SHOCHATOA

d)

SAHCOHTOA

20.

Choose the correct ratio you could use to solve for "x".

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

21.

Find x rounded to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

22.

Which trig function would you use to solve this problem for "x"?

a)

Sine

b)

Cosine

c)

Tangent

d)

Pythagorean Theorem

23.

Find the measure of the missing angle to the nearest degree.

a)

49^o

b)

90^o

c)

41^o

d)

33^o

24.

Find the length of side AB.

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

25.

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

a)

49°

b)

57°

c)

45°

d)

54°

26.

Find the value of "x" rounded to the nearest hundredth.

a)

6.09

b)

18.77

c)

5.52

d)

7.68

27.

a)

x = 48.75
y = 69.63

b)

x = 69.63
y = 48.75

c)

x = 59.52
y = 60.68

d)

x = 60.68
y = 59.52

28.

a)

x = 196.06
y = 341.82

b)

x = 399.89
y = 488.17

c)

x = 341.82
y = 399.89

d)

x = 196.06
y = 399.89

29.

a)

x = 399.88
y = 488.17

b)

x = 196.06
y = 341.82

c)

x = 341.82
y = 399.89

d)

x = 196.06
y = 399.89

30.

What does CAH stand for

a)

cosine is the adjective over the hypotenuse.

b)

cosine is the adjacent side over the hypotenuse side.

c)

cosine is the adjacent side over the hippopotamus.

d)

cosine is the hypotenuse side over the adjacent side.

31.

What does SOH stand for

a)

hypotenuse over opposite

b)

adjacent over opposite
opposite over adjacent

c)

opposite over hypotenuse

d)

adjacent over adjacent

32.

Use a calculator to find sin 45.

a)

.707

b)

1

c)

.809

d)

1.4

33.

Use a calculator to find the cos 70.

a)

.12

b)

2.7

c)

.94

d)

.34

34.

Use the calculator to find tan 60

a)

.87

b)

1.7

c)

.5

d)

.11

35.

Use a calculator to find cos 0

a)

4

b)

3

c)

2

d)

1

36.

Use a calculator to find sin 100

a)

.98

b)

.17

c)

-5.6

d)

.76

37.

What is the ratio for tangent?

a)

O/A

b)

A/O

c)

A/H

d)

O/H

38.

What is the ratio for sine?

a)

O/H

b)

H/A

c)

H/O

d)

O/A

39.

What is the ratio for cosine?

a)

H/A

b)

O/A

c)

A/H

d)

A/O

40.

How do you know which side is the OPPOSITE?

a)

It is next to the right angle

b)

It is opposite the right angle

c)

It is across from the angle

d)

It is the bottom leg of the triangle

41.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

42.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

43.

What is the radius of a unit circle?

a)

1

b)

2

c)

1/2

d)

0

44.

cos(60°)

a)

0

b)

1/2

c)

√3/2

d)

1

45.

sinθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

46.

Based on the unit circle, what is the value of sin?

a)

y

b)

x

c)

x/y

d)

y/x

47.

Based on the unit circle, what is the value of cos?

a)

y

b)

x

c)

x/y

d)

y/x

48.

Based on the unit circle, what is the value of tan?

a)

y/r

b)

x/r

c)

r/y

d)

y/x

49.

tanθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

50.

What is the value of sine at 30

a)

1/2

b)

√3 / 2

c)

0

d)

√2 ⁄ 2

51.

What are the 3 basic trig functions?

a)

Sine, cosine, and cotangent

b)

Sine, cotangent, and cosecant

c)

Sine, cosine, and tangent

d)

Cosecant, cosine, and cotangent

52.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

53.

Do the side lengths 9, 12, and 17 make a right triangle?

a)

Yes

b)

No

54.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

55.

If the sides of a triangle are 7, 25, and 24, is it a right triangle?

a)

yes

b)

no

56.

Is this triangle a right triangle?

a)

yes

b)

no

57.

Can side lengths 3, 4, and 5 form a right triangle?

a)

yes

b)

no

58.

If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?

a)

9

b)

40

c)

41

59.

Do the segment lengths 15, 9 and, 12 form a right triangle?

a)

Yes

b)

No

60.

Given the 3 lengths of a triangle are 6 in, 8 in and 10 in. Will this make a right triangle?

a)

yes

b)

no

61.

Do these 3 side lengths form a right triangle?
13, 80, and 81?

a)

yes

b)

no

62.

If three sides of a right triangle are 12, 13, and 5, which side is the hypotenuse?

a)

12

b)

13

c)

5

63.

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

a)

5

b)

3

c)

4

64.

If three sides of a right triangle are 50, 40, and 30, which side is the hypotenuse?

a)

50

b)

40

c)

30

65.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

66.

a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?

a)

yes

b)

no

67.

What is the formula for Pythagorean theorem?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

68.

What kind of triangles does the Pythagorean Theorem work with?

a)

Right-angled triangle

b)

Obtuse-angled triangle

c)

Isosceles triangle

d)

Equilateral triangle

e)

Acute-angled triangle

69.

The hypotenuse is always.............

a)

The right angle side

b)

The shortest side

c)

The longest side

d)

On the outside

70.

What is the length of the hypotenuse?

a)

16

b)

30

c)

34

71.

Calculate

a)

4

b)

8

c)

7.6

d)

8.6

72.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

73.

A 2.5m long ladder leans against the wall of a building. The base of the ladder is 1.5m away from the wall. What is the height of the wall?

a)

2 cm

b)

8 m

c)

2 m

d)

5 m

74.

Which of the following are not right angled triangled triangle?

a)

3cm , 4cm , 5cm

b)

18cm, 34cm, 30cm

c)

15cm, 8cm, 17cm

d)

37cm, 35cm, 48cm

75.

Does an 8, 15, 16 triangle have a Right Angle?

a)

Yes

b)

no

76.

Calculate

a)

29.2

b)

14.2

c)

30

d)

32.2

77.

a)

11

b)

12

c)

9.8

d)

11.5

78.

Find x.

a)

35

b)

20

c)

8

d)

12

79.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

80.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

81.

Find the length of the missing side.

a)

48 in.

b)

52 in.

c)

16 in.

d)

24 in.

82.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

83.

solve for c

a)

7

b)

9

c)

4

d)

13

84.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

85.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

86.

Which is a Pythagorean Triple?

a)

4,4,8

b)

6,8,10

c)

1,2,3

d)

10,15,25

87.

Which is a Pythagorean Triple?

a)

3,4,5

b)

3.4,4.5,6.7

c)

12,13,14

d)

5,10,12

88.

Which is a Pythagorean Triple?

a)

1,1,1

b)

7,14,16

c)

12,13,16

d)

5,12,13

89.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

90.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

91.

Why is it not possible to make a right triangle using lengths of 10 feet, 60 feet, and 65 feet?

a)

10 + 60 is greater than 65

b)

65 - 60 does not equal 10

c)

10² + 60² does not equal 65²

d)

(10 + 60)²does not equal 65²

92.

Can a right triangle have sides of length
6, 8, and 10?

a)

Yes. 6-8-10 is a triple

b)

No. 6-8-10 is not a triple

93.

Can a right triangle have sides of length
5, 12, and 13?

a)

Yes. 5-12-13 is a triple

b)

No. 5-12-13 is not a triple

94.

Can a right triangle have sides of length
3, 4, and 5?

a)

Yes. 3-4-5 is a triple

b)

No. 3-4-5 is not a triple

95.

Complete the Pythagorean Triple

? - 12 - 15

a)

12

b)

4

c)

8

d)

9

e)

15

96.

Which is NOT a Pythagorean Triple?

a)

17,24,25

b)

7,24,25

c)

14,48,50

d)

21,72,75

97.

Which is NOT a Pythagorean Triple?

a)

8,15,17

b)

4,7,8

c)

16,30,34

d)

24,45,51

98.

Which is NOT a Pythagorean Triple?

a)

15,36,39

b)

10,24,27

c)

5,12,13

d)

10,24,26

99.

Which is NOT a Pythagorean Triple?

a)

3,4,5

b)

6,8,10

c)

12,14,16

d)

9,12,15

100.

(Fill in the blank) A Pythagorean triple is a set of 3 _______ such that a² + b² = c².

a)

imaginary numbers

b)

fractions or decimals

c)

irrational numbers

d)

positive integers

101.

Which of the following completes the Pythagorean Triple 9, 40, _____?

a)

41

b)

49

c)

50

d)

80

102.

Will these three sides form a triangle?

a)

yes

b)

no

103.

If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?

a)

any length

b)

equal to 10

c)

greater than 10

d)

less than 10

104.

Will these line segments form a triangle?

a)

yes

b)

no

105.

What type of triangle satisfies the inequality:

c² < a²+b²

a)

acute

b)

obtuse

c)

right

106.

What type of triangle satisfies the inequality:

c² = a²+b²

a)

acute

b)

obtuse

c)

right

107.

What type of triangle satisfies the inequality:

c²> a²+b²

a)

acute

b)

obtuse

c)

right

108.

What type of triangle is constructed with sides 9, 3, 9?

a)

Right triangle

b)

Obtuse triangle

c)

Acute triangle

d)

Sides do not form a triangle

109.

What type of triangle is constructed with sides 8, 10, 17?

a)

Right triangle

b)

Obtuse triangle

c)

Acute triangle

d)

Sides do not form a triangle

110.

What type of triangle is constructed with sides 3, 4, 5?

a)

Right triangle

b)

Obtuse triangle

c)

Acute triangle

d)

Sides do not form a triangle

111.

What type of triangle is constructed with sides 15, 18, 22 ?

a)

Right triangle

b)

Obtuse triangle

c)

Acute triangle

d)

Sides do not form a triangle

112.

What type of triangle is constructed with sides 5, 9, 11?

a)

Right triangle

b)

Obtuse triangle

c)

Acute triangle

d)

Sides do not create a triangle

113.

Which inequality represents a right triangle?

a)

a² + b² = c²

b)

a² + b² < c²

c)

a² + b² > c²

114.

Which inequality represents an obtuse triangle?

a)

a² + b² = c²

b)

a² + b² < c²

c)

a² + b² > c²

115.

Which inequality represents an acute triangle?

a)

a² + b² = c²

b)

a² + b² < c²

c)

a² + b² > c²

116.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

117.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

118.

Find x.

a)

10

b)

10√3

c)

10√2

d)

20

119.

Find x.

a)

22

b)

11√3

c)

11√2

d)

11

120.

Find a.

a)

12

b)

24

c)

24√3

d)

16

121.

Find a.

a)

2√3

b)

2

c)

12

d)

6

122.

Find x.

a)

9

b)

3√3

c)

6

d)

6√3

123.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

124.

Find the value of x.

a)

18

b)

18√3

c)

36√3

d)

12

125.

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

a)

16

b)

8

c)

8√2

d)

√16

126.

Find the value of y.

a)

8

b)

4

c)

2√3

d)

8√3

127.

Find the length of m.

a)

4

b)

6

c)

12

d)

2√3

128.

Determine the length of x.

a)

x = 3/2

b)

x = 3

c)

x = 3√3

d)

x = 6

129.

Determine the value of x.

a)

x = 10√2

b)

x = 10

c)

x = 5√3

d)

x = 5√6

130.

Determine the value of x.

a)

x = 8√2

b)

x = 16√2

c)

x = 16

d)

x = 8√6

131.

Determine the value of c.

a)

c = 6√3

b)

c = 12√3

c)

c = 18

d)

c = 18√2

132.

Determine the area of the entire diagram shown. The area of a triangle is A = ½bh

a)

10√2

b)

20√2

c)

200

d)

400

133.

a)

A

b)

B

c)

C

d)

D

134.

a)

A

b)

B

c)

C

d)

D

135.

a)

A

b)

B

c)

C

d)

D

136.

a)

A

b)

B

c)

C

d)

D

137.

a)

A

b)

B

c)

C

d)

D

138.

a)

A

b)

B

c)

C

d)

D

139.

a)

A

b)

B

c)

C

d)

D

140.

a)

A

b)

B

c)

C

d)

D

141.

a)

A

b)

B

c)

C

d)

D

142.

a)

A

b)

B

c)

C

d)

D

143.

In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...

a)

Multiply that leg by 2

b)

Use the same length for the second leg

c)

Multiply that leg by √2

d)

Divide that leg by √2

144.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

145.

In this 45-45-90 triangle, I have been given the length of a leg. How do I find the length of the hypotenuse?

a)

It is the same length as the given leg.

b)

Multiply that leg's length by √2.

c)

Multiply that leg's length by 2.

d)

Divide that leg's length by √2.

146.

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

a)

4√2

b)

4

c)

8

d)

4√3

147.

I have been given a hypotenuse in this 45-45-90 triangle. How do I find the length of a leg of the triangle?

a)

Multiply by √2

b)

Divide by √2

c)

It's the same length as the hypotenuse.

d)

Divide by 2

148.

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

a)

8√2

b)

4√2

c)

4

d)

8

149.

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

a)

4

b)

u

c)

v

150.

Which side is the short leg of this 30-60-90 triangle?

a)

6

b)

m

c)

n

151.

I have been given the short leg in this 30-60-90 triangle. How do I find the long leg?

a)

Multiply 4 by 2

b)

Multiply 4 by √3

c)

Multiply 4 by √2

d)

Divide 4 by 2

152.

I have been given the short leg in this 30-60-90 triangle. How do I find the length of the hypotenuse?

a)

Multiply 4 by 2

b)

Multiply 4 by √3

c)

Multiply 4 by √2

d)

Divide 4 by √3

153.

I have been given the hypotenuse in this 30-60-90 triangle. How do I find the short leg?

a)

Multiply 6 by 2

b)

Multiply 6 by √3

c)

Divide 6 by 2

d)

Divide 6 by √3

154.

What is the length of u and v in this 30-60-90 triangle?

a)

u = 8 v = 4√3

b)

u = 4√2 v = 8

c)

u = 16 v = 8

d)

u = 4√3 v = 8

155.

I have been given the long leg in this 30-60-90 triangle. How do I find the short leg?

a)

Multiply 7 by 2

b)

Multiply 7 by √3

c)

Divide 7 by 2

d)

Divide 7 by √3

156.

I have been given the long leg in this 30-60-90 triangle. How do I find the hypotenuse?

a)

Divide 8 by √3

b)

Divide 8 by 2

c)

Divide 8 by 2, then multiply that answer by √2

d)

Divide 8 by √3, then multiply that answer by 2

157.

What are x and y in this 30-60-90 triangle?

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

158.

What are x and y in this 30-60-90 triangle?

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

159.

What are u and v in this 30-60-90 triangle?

a)

v = 2√3 u = 6

b)

v = 4 u = 4√3

c)

v = 4 u = 4√2

d)

v = 4√3 u = 8√3

160.

What are a and b in this 30-60-90 triangle?

a)

b=3.5√3 a = 7√3

b)

b = 7 a = 7√2

c)

b = 7 a = 14

d)

b = 7√3 a = 14√3

161.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

162.

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

a)

4√2

b)

4

c)

8

d)

4√3

163.

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

a)

8√2

b)

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

c)

16

d)

8

164.

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

a)

$4\sqrt{3}$

b)

4

c)

8

d)

$4\sqrt{2}$

165.

What is the length of the short leg of this 30-60-90 triangle?

a)

6

b)

$\frac{6}{\sqrt{3}}$

c)

3

d)

$\frac{6}{\sqrt{2}}$

166.

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

a)

4√2

b)

4√3

c)

4

d)

8

167.

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

a)

6√2

b)

3√3

c)

12

d)

6√3

168.

What is x in this 30-60-90 triangle?

a)

x = 6

b)

x = 3√2

c)

x = 3√3

d)

x = 3√3

169.

What is a in this 30-60-90 triangle?

a)

a = 7√3

b)

a = 7√2

c)

a = 14

d)

a = 14√3

170.

Find x.

a)

10

b)

10√3

c)

10√2

d)

20

171.

Find x.

a)

22

b)

11√3

c)

11√2

d)

11

172.

Find a.

a)

12

b)

24

c)

24√3

d)

16

173.

Find the value of y.

a)

8

b)

4

c)

2√3

d)

8√3

174.

What is the length of x in this picture?

a)

45

b)

5√2

c)

90

d)

5

175.

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

a)

4√2

b)

4

c)

8

d)

4√3

176.

What is y in this 30-60-90 triangle?

a)

$y=6$

b)

$y=3\sqrt{2}$

c)

$y=3\sqrt{3}$

d)

$y=\frac{3}{\sqrt{3}}$

177.

What is b in this 30-60-90 triangle?

a)

b=3.5√3

b)

b = 3.5

c)

b = 7

d)

b = 7√3

178.

What is the measure of side b?

a)

5

b)

10√2

c)

$\frac{10}{\sqrt{2}}$

d)

10√3

179.

What is the length of x in this triangle?

a)

14

b)

$7\sqrt{3}$

c)

3.5

d)

$\frac{14}{\sqrt{3}}$

180.

What is the length of y in this triangle?

a)

14

b)

$7\sqrt{3}$

c)

3.5

d)

$\frac{7}{\sqrt{3}}$

Chapter 8 Review (8.1-8.3) [8DA]

Total questions: 180

Worksheet time: 45hrs 0mins

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