Free Printable G-CHAPTER 8 TEST

1.

a)

A

b)

B

c)

C

d)

D

2.

a)

A

b)

B

c)

C

d)

D

3.

a)

A

b)

B

c)

C

d)

D

4.

a)

A

b)

B

c)

C

d)

D

5.

a)

A

b)

B

c)

C

d)

D

6.

a)

A

b)

B

c)

C

d)

D

7.

a)

A

b)

B

c)

C

8.

a)

A

b)

B

c)

C

9.

a)

A

b)

B

c)

C

10.

a)

A

b)

B

c)

C

11.

a)

A

b)

B

c)

C

12.

a)

A

b)

B

c)

C

d)

D

13.

a)

A

b)

B

c)

C

d)

D

14.

a)

A

b)

B

c)

C

d)

D

15.

a)

A

b)

B

c)

C

d)

D

16.

a)

A

b)

B

c)

C

d)

D

17.

a)

A

b)

B

c)

C

d)

D

18.

a)

A

b)

B

c)

C

d)

D

19.

a)

A

b)

B

c)

C

d)

D

20.

a)

A

b)

B

c)

C

d)

D

21.

a)

A

b)

B

c)

C

d)

D

22.

a)

A

b)

B

c)

C

d)

D

23.

Classify the triangle by angles and sides.

a)

Equiangular Equilateral

b)

All of the above

c)

Acute Equilateral

d)

Acute Isosceles

24.

Classify the triangle by angles and sides.

a)

Right Scalene

b)

Right Isosceles

c)

Acute Isosceles

d)

Right Obtuse

25.

Classify the triangle by angles and sides.

a)

Obtuse Scalene

b)

Obtuse Isosceles

c)

Acute Isosceles

d)

Equiangular Scalene

26.

Classify the triangle by angles and sides.

a)

Obtuse Scalene

b)

Obtuse Isosceles

c)

Right Scalene

d)

Acute Isosceles

27.

Classify the triangle by angles and sides.

a)

Equiangular Equilateral

b)

Right Isosceles

c)

Right Scalene

d)

Acute Isosceles

28.

Triangles can be classified by what two things?

a)

Side length and angle measure

b)

Number of Vertices and number of sides

c)

Angle color and side height

d)

Number of points and number of lines

29.

A triangle with 3 congruent sides is called a(n) ______

a)

Isosceles Triangle

b)

Equilateral Triangle

c)

Obtuse Triangle

d)

Irregular Triangle

30.

A scalene triangle has _____

a)

3 different angle names

b)

no congruent sides

c)

all sides congruent

d)

3 congruent angles

31.

A triangle with 3 congruent sides is called a(n) ______

a)

Isosceles Triangle

b)

Equilateral Triangle

c)

Obtuse Triangle

d)

Irregular Triangle

32.

How many acute angles must an acute triangle have?

a)

2

b)

1

c)

4

d)

3

33.

Classify by sides

a)

Right

b)

Isosceles

c)

scalene

d)

equilateral

34.

.

What is the name of this kind of triangle?

a)

Right

b)

Scalene

c)

Isosceles

d)

Equilateral

35.

Find the measure of the indicated angle.

a)

95

b)

85

c)

35

d)

45

36.

In a triangle, how many total degrees are there?

a)

100%

b)

180 degrees

c)

it varies

d)

360 degrees

37.

Find the measure of the indicated angle.

a)

26

b)

36

c)

85

d)

144

38.

9. Which of these lengths CANNOT represent the sides of a triangle?

a)

3, 10, 8

b)

2, 5, 8

c)

7, 5, 4

d)

5, 2, 4

39.

A triangle that has angles measuring 90 degrees, 45 degrees, and 45 degrees with two congruent (equal) sides is called a______________.

a)

Scalene Acute

b)

Isosceles Right

c)

Scalene Right

d)

Equilateral Acute

40.

An _____________ triangle is a triangle with one obtuse angle and two acute angles.

a)

Scalene Triangle

b)

Right Triangle

c)

Obtuse Triangle

d)

None of these

41.

Name the smallest angle in this triangle.

a)

∠A

b)

∠B

c)

∠C

42.

Look at the sides and angles of this triangle. Which type of triangle is pictured?

a)

A

b)

B

c)

C

d)

D

43.

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Right

44.

If a triangle has all angles less than 90° and two equal sides, what type of triangle is it?

a)

Acute Isosceles

b)

Acute Scalene

c)

Obtuse Scalene

d)

Obtuse Isosceles

45.

Which type of angle is this?

a)

Acute

b)

Right

c)

Obtuse

d)

Straight

46.

Which type of angle is this?

a)

Acute

b)

Right

c)

Obtuse

d)

Straight

47.

What type of angle is this?

a)

Acute

b)

Right

c)

Obtuse

d)

Straight

48.

Look at the sides and angles of this triangle. Which type of triangle is pictured?

a)

Equilateral Triangle

b)

Right Isosceles Triangle

c)

Obtuse Scalene Triangle

d)

Obtuse Equilateral Triangle

49.

Look at the sides and angles of this triangle. Which type of triangle is pictured?

a)

Equilateral Triangle

b)

Scalene Triangle

c)

Isosceles Triangle

d)

Right Triangle

50.

Classify this triangle.

a)

A

b)

B

c)

C

d)

D

51.

Look at the sides and angles of this triangle. Which type of triangle is pictured?

a)

A

b)

B

c)

C

d)

D

52.

Look at the sides of this triangle. What type of triangle is this?

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Obtuse

53.

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Right

54.

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Right

55.

If a triangle has all three angles equivalent and all three sides equivalent, what type of triangle is it?

a)

Acute Isosceles

b)

Equilateral

c)

Obtuse Scalene

d)

Obtuse Isosceles

56.

If a triangle has no equal sides, what type of triangle is it?

a)

Scalene

b)

Equilateral

c)

Right

d)

Obtuse

57.

Classify the following Triangle

a)

Acute Scalene Triangle

b)

Acute Isosceles Triangle

c)

Right Scalene Triangle

d)

Obtuse Isosceles Triangle

58.

_{^{Find the missing side}}

a)

36

b)

76.8

c)

12

d)

40

59.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

60.

If 36 and 48 are the two smaller numbers in a Pythagorean Triple, what is the third number?

a)

45

b)

50

c)

55

d)

60

61.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

62.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

63.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

64.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

65.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

a)

210 m

b)

180 m

c)

150 m

d)

79 m

66.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

67.

_{^{Find the missing side}}

a)

36

b)

76.8

c)

12

d)

40

68.

_{^{Find the missing side}}

a)

29.2

b)

20

c)

400

d)

10

69.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

70.

Level 1

If a right triangle has side lengths 6, 7 and 3, which side is the hypotenuse?

a)

6

b)

7

c)

3

d)

49

e)

9

71.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

72.

Level 3

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

73.

Level 3

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

74.

Level 4

Solve for x.

a)

38.9

b)

40.2

c)

45.6

d)

54

75.

The Pythagorean Theorem is

a² - b² = c²

a)

false

b)

true

76.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

77.

Sides a and b are called legs.

a)

true

b)

false

78.

a² + b² = c^{2
a = 9 b = 40}

a)

c = 41

b)

c = 65

c)

c = 25

d)

c = 5

79.

a² + b² = c^{2
b = 35 c = 37}

a)

a = 12

b)

a = 11

c)

a = 18

d)

a = 14

80.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

81.

Find the perimeter of a triangle that has legs that are 3 cm and 4 cm.

a)

5

b)

7

c)

10

d)

12

82.

Level 1

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

15.7

e)

None of them

83.

Level 3

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

84.

An airplane flies 56 miles due north and then 33 miles due east. How many miles is the plane from its starting point?

a)

65 miles

b)

89 miles

c)

45.4 miles

d)

We don't have enough information.

85.

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

a)

7.5 in

b)

12.4 in

c)

13.6 in

d)

14.3 in

86.

The longest side of a right triangle is DIRECTLY ACROSS from the...

a)

right angle.

b)

acute angle.

c)

obtuse angle.

87.

What type of triangle will these side lengths form?

13, 12, 15

a)

Right

b)

Acute

c)

Obtuse

88.

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

a)

yes

b)

no

89.

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

a)

yes

b)

no

90.

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

91.

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

a)

Yes

b)

No

92.

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

93.

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

a)

9

b)

40

c)

41

94.

Is this triangle a right triangle?

a)

yes

b)

no

95.

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

a)

yes

b)

no

96.

Can side lengths 6, 8, and 10 form a right triangle?

a)

yes

b)

no

97.

Do the sides 15, 30 and 34 make a right triangle?

a)

yes

b)

no

98.

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

a)

yes

b)

no

99.

Which set of side lengths form a right triangle?

a)

4, 8, 12

b)

12, 13, 20

c)

20, 21, 29

d)

48, 55, 74

100.

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

101.

Do the segment lengths 9, 12, and 16 form a right triangle?

a)

Yes

b)

No

102.

Is 10, 24, and 13 a Pythagorean triple?

a)

yes

b)

no

c)

cannot tell

103.

Does the set of numbers represent a Pythagorean Triple.
4, 5, 6

a)

Yes

b)

No

104.

Does the set of numbers represent a Pythagorean Triple.
10, 24, 26

a)

Yes

b)

No

105.

Does the set of numbers represent a Pythagorean Triple.
15, 20, 25

a)

Yes

b)

No

106.

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

a)

Yes

b)

No

107.

Do three squares with side lengths of 6, 12, and 13 form a right triangle?

a)

Yes

b)

No

108.

Isabella has sticks that are 10cm, 11cm, and 13cm long. Can she place the sticks together to form a right triangle? Justify your answer.

a)

No, because 10+11 does not equal 13

b)

No, because 100+121 does not equal 169

c)

Yes, because there is a small side, medium side and long side

d)

Yes, because a triangle has 3 sides

109.

Which is the Pythagorean theorem?

a)

√(x-x)²-(y-y)²

b)

(y-y)/(x-x)

c)

a²+b²=c²

d)

a + b = c

110.

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

111.

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

a)

16, 63, 65

b)

36, 77, 85

c)

14, 15, 29

112.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

113.

a)

A

b)

B

c)

C

d)

D

114.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

115.

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

116.

If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?

a)

sine

b)

cosine

c)

tangent

d)

You can only use trig functions on right triangles.

117.

a)

24/32

b)

32/24

c)

32/40

d)

24/40

118.

a)

27/36

b)

27/45

c)

45/36

d)

45/27

119.

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

120.

a)

A

b)

B

c)

C

d)

D

121.

a)

14/48

b)

48/50

c)

14/50

d)

48/14

122.

The ratio in a right triangle of adjacent to hypotenuse is _____

a)

sine

b)

cosine

c)

tangent

d)

inverse cosine

123.

Choose the correct ratio.

a)

A

b)

B

c)

C

d)

D

124.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

125.

Which side is the hypotenuse?

a)

a

b)

b

c)

c

126.

Which side is opposite $\angle A$ ?

a)

a

b)

b

c)

c

127.

Find the value of the missing side of the triangle.

a)

$\sqrt{28}$

b)

$\sqrt{14}$

c)

$10$

d)

$100$

128.

Find the value of sin $\theta$ .

a)

$\frac{6}{10}$

b)

$\frac{4}{5}$

c)

$\frac{8}{10}$

d)

$\frac{3}{5}$

129.

Find the value of tan $\theta$ .

a)

$\frac{6}{8}$

b)

$\frac{8}{6}$

c)

$\frac{4}{5}$

d)

$\frac{4}{3}$

130.

Find the missing side of the triangle.

a)

$13$

b)

$5$

c)

$\sqrt{13}$

d)

$\sqrt{5}$

131.

a)

14/48

b)

48/50

c)

14/50

d)

48/14

132.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

133.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

134.

Find x.

a)

30°

b)

60°

c)

90°

d)

180°

135.

Find x.

a)

30°

b)

45°

c)

60°

d)

90°

136.

Find x.

a)

90°

b)

45°

c)

30°

d)

60°

137.

Find x.

a)

45°

b)

90°

c)

30°

d)

60°

138.

Find x.

a)

10

b)

√3

c)

5

d)

10√3

139.

Find x.

a)

4

b)

2

c)

√3

d)

2√2

140.

Find x.

a)

10

b)

20

c)

10√3

d)

√3

141.

Find x.

a)

12

b)

√2

c)

√3

d)

6

142.

Find x - the length of the hypotenuse of the triangle.

a)

5

b)

5√2

c)

10

d)

5√3

143.

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

a)

8√2

b)

4√2

c)

4

d)

8

144.

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

a)

4√2

b)

4

c)

8

d)

4√3

145.

What is the measure of side c?

a)

7

b)

7/√2

c)

7√2

d)

14

146.

Find a.

a)

2

b)

4

c)

2/√2

d)

2√3

147.

Find x.

a)

10

b)

√3

c)

5

d)

10√3

148.

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 = 6 y = 3√2

149.

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

150.

Find the value of y.

a)

8

b)

4

c)

2√3

d)

8√3

151.

How long is e?

a)

3

b)

6

c)

6√3

d)

6√2

152.

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

153.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

154.

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

a)

6

b)

m

c)

n

155.

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

156.

Find the value of m.

a)

10

b)

10√2

c)

20√2

d)

√2

157.

Considering the lengths of the sides of the triangle, what measure will < A have to be?

a)

30

b)

45

c)

60

d)

90

158.

What is the shortest distance between 3rd and 1st?

a)

60

b)

60√2

c)

30√2

d)

120

159.

A 40 ft ladder is leaning against a house. The angle formed between the ladder and ground is 60 degrees. How many ft away from the house is the bottom of the ladder?

a)

40

b)

20

c)

20√3

d)

40√2

160.

Find EF.

a)

4

b)

2√2

c)

1

d)

2

161.

Which side is the hypotenuse?

a)

a

b)

b

c)

c

162.

Which side is opposite $\angle A$ ?

a)

a

b)

b

c)

c

163.

Which side is adjacent to $\angle A$ ?

a)

a

b)

b

c)

c

164.

Find the value of sin $\theta$ .

a)

$\frac{6}{10}$

b)

$\frac{4}{5}$

c)

$\frac{8}{10}$

d)

$\frac{3}{5}$

165.

Find the value of the missing side of the triangle.

a)

$\sqrt{28}$

b)

$\sqrt{14}$

c)

$10$

d)

$100$

166.

Find the value of tan $\theta$ .

a)

$\frac{6}{8}$

b)

$\frac{8}{6}$

c)

$\frac{4}{5}$

d)

$\frac{4}{3}$

167.

Find the value of csc $\theta$ .

a)

$\frac{5}{4}$

b)

$\frac{5}{3}$

c)

$\frac{4}{3}$

d)

$\frac{3}{5}$

168.

Find the value of cos $\theta$ .

a)

$\frac{5}{13}$

b)

$\frac{5}{12}$

c)

$\frac{12}{13}$

d)

$\frac{13}{12}$

169.

Find the value of cot $\theta$ .

a)

$\frac{5}{\sqrt{144}}$

b)

$\frac{5}{13}$

c)

$\frac{13}{12}$

d)

$\frac{12}{5}$

170.

This is the challenge question! If the $\tan\theta=\frac{5}{12}$ then what is $\cos\theta$ ? (HINT: Draw and label a picture using tan.)

a)

$\frac{\sqrt{5}}{12}$

b)

$\frac{12}{13}$

c)

$\frac{5}{13}$

d)

$\frac{5\sqrt[]{13}}{13}$

171.

Which one is the easy way to remember trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

172.

Find the value of the missing side of the triangle.

a)

$\sqrt{28}$

b)

$\sqrt{14}$

c)

$10$

d)

$100$

173.

Find the value of csc $\theta$ .

a)

$\frac{5}{4}$

b)

$\frac{5}{3}$

c)

$\frac{4}{3}$

d)

$\frac{3}{5}$

174.

Find the value of cot $\theta$ .

a)

$\frac{5}{\sqrt{144}}$

b)

$\frac{5}{13}$

c)

$\frac{13}{12}$

d)

$\frac{12}{5}$

175.

The correct ratio for

\cot\theta

a)

opposite/hypotenuse

b)

adjacent/hypotenuse

c)

opposite/adjacent

d)

hypotenuse/adjacent

e)

adjacent/opposite

176.

$\cot\theta=$

a)

12/13

b)

12/5

c)

5/13

d)

5/12

177.

$\sec\theta=$

a)

17/8

b)

8/17

c)

15/17

d)

17/15

178.

$\csc\theta=$

a)

4/5

b)

5/4

c)

5/3

d)

3/5

179.

Angle C is a right angle in triangle ABC. Find cotA if b = 9 and c = 15

a)

4/3

b)

3/4

c)

1/3

d)

3

180.

Find the remaining trig ratios if $\sin\theta=\frac{2}{3}$

a)

$\cos\theta=\frac{5}{7}\ \tan\theta=\frac{2}{5}$ $\csc\theta=\frac{3}{2}\ \sec\theta=\frac{7}{5}\ \cot\theta=\frac{5}{2}$

b)

$\cos\theta=\frac{2\sqrt{5}}{5}\ \tan\theta=\frac{2}{3}$ $\csc\theta=\frac{3}{2}\ \sec\theta=\frac{\sqrt{5}}{2}\ \cot\theta=\frac{3}{2}$

c)

$\cos\theta=\frac{\sqrt{5}}{2}\ \tan\theta=\frac{2\sqrt{5}}{5}\csc\theta=\frac{3}{2}\ \sec\theta=\frac{2\sqrt{5}}{5}\cot\theta=\frac{5\sqrt{5}}{2}$

d)

$\cos\theta=\frac{\sqrt{5}}{3}\ \tan\theta=\frac{2\sqrt{5}}{5}\csc\theta=\frac{3}{2}\ \sec\theta=\frac{3\sqrt{5}}{5}\cot\theta=\frac{\sqrt{5}}{2}$

181.

What is cotθ?

a)

3/4

b)

4/3

c)

5/3

d)

5/4

182.

What is the length of the missing side?

a)

3

b)

3√(2)

c)

about 4ish

d)

6

183.

What is cscθ?

a)

√(2)/2

b)

√(2)

c)

1

184.

What is secθ?

a)

√(2)/2

b)

√(2)

c)

1

185.

*

a)

cos x

b)

csc x

c)

sec x

d)

cot x

186.

Find sec A

a)

15/17

b)

8/17

c)

17/15

d)

17/8

187.

Find cot A

a)

15/17

b)

8/15

c)

17/15

d)

15/8

188.

a)

A

b)

B

c)

C

d)

D

189.

a)

A

b)

B

c)

C

d)

D

190.

What is secθ?

a)

3/4

b)

4/3

c)

5/3

d)

5/4

191.

What is cscθ?

a)

3/4

b)

4/3

c)

5/3

d)

5/4

G-CHAPTER 8 TEST

Total questions: 191

Worksheet time: 8hrs 21mins

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