Free Printable Trig Intro Review

1.

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

a)

Yes

b)

No

2.

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)

Not enough information

3.

Find the length of the missing side

a)

17

b)

15

c)

22

d)

13

4.

Find the length of the missing side

a)

20

b)

68

c)

16

d)

80

5.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

6.

The Pythagorean Theorem ONLY works on which triangle?

a)

Obtuse

b)

Right

c)

Acute

d)

Isosceles

7.

Find the length of the missing side

a)

17

b)

15

c)

22

d)

13

8.

Is this a right triangle

a)

Yes

b)

No

9.

In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?

a)

$17^2+8^2=b^2$

b)

$8^2+b^2=17^2$

c)

$17^2+b^2=8^2$

d)

$\frac{8^2}{b^2}=\frac{17^2}{100}$

10.

Sides a and b are called legs.

a)

true

b)

false

11.

What is the name for side c?

a)

head

b)

body

c)

hippopotamus

d)

hypotenuse

12.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

13.

Will these sides form a right triangle?

3, 12, 13

a)

Yes

b)

No

14.

What type of triangle will these side lengths form?

13, 12, 15

a)

Right

b)

Acute

c)

Obtuse

15.

What type of triangle will these side lengths form?

9, 12, 15

a)

Right

b)

Acute

c)

Obtuse

16.

What type of triangle will these side lengths form?

7, 8, 10

a)

Right

b)

Acute

c)

Obtuse

17.

What type of triangle will these side lengths form?

9, 11, 15

a)

Right

b)

Acute

c)

Obtuse

18.

What is the side of a right triangle across from the right angle called?

a)

square

b)

arm

c)

leg

d)

hypotenuse

19.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

20.

Solve for x. SIMPLIFY your radical answer completely.

a)

4√2

b)

2√4

c)

2√2

d)

16√2

21.

Solve for x. SIMPLIFY your radical answer completely.

a)

4√22

b)

22√4

c)

22√2

d)

2√22

22.

Solve for x. SIMPLIFY your radical answer completely.

a)

2√6

b)

6√2

c)

4√6

d)

6√4

23.

Is the triangle with 7, 9 and 13 for sides acute, right, or obtuse?

a)

acute

b)

right

c)

obtuse

24.

The Pythagorean Theorem is
a² + b²+ c²

a)

false

b)

true

25.

Which set of sides would make a obtuse triangle?

a)

4, 5, 6

b)

3, 4, 5

c)

5, 10, 12

26.

What is the length of the missing side?

a)

x = 4

b)

x = 8

c)

x = 10

d)

x = 16

27.

Will these sides form a right triangle?

2, 12, 13

a)

Yes

b)

No

28.

The Pythagorean Theorem is
c² = a² - b²

a)

false

b)

true

29.

What is a possible equation for solving for y?

a)

$\frac{12}{y\ }=\frac{y}{4}$

b)

$\frac{12}{4}=\frac{y}{x}$

c)

$\frac{4}{y\ }=\frac{y}{12}$

d)

$\frac{x}{4\ }=\frac{12}{x}$

e)

y = 48

30.

What is a possible equation for solving for x?

a)

$\frac{4}{x\ }=\frac{x}{16}$

b)

$\frac{4}{x\ }=\frac{x}{12}$

c)

$\frac{16}{x\ }=\frac{x}{4}$

d)

$\frac{x}{4}=\frac{4}{y}$

31.

Solve for x. Round to the nearest tenth if necessary.

32.

Write a proportion to find the value of x.

33.

Write an proportion to find the value of x.

34.

Solve for x.

a)

x = 8

b)

x = 6

c)

x = 7

d)

x = 5

35.

What proportion would help us to solve for x?

a)

$\frac{x}{6}=\frac{6}{13.5}$

b)

$\frac{6}{x}=\frac{x}{6}$

c)

$\frac{6}{x}=\frac{x}{13.5}$

d)

$\frac{x}{13.5}=\frac{13.5}{6}$

36.

Solve for x.

a)

x = 6

b)

x = 7

c)

x = 8

d)

x = 9

37.

a)

A

b)

B

c)

C

d)

D

38.

a)

A

b)

B

c)

C

d)

D

39.

a)

A

b)

B

c)

C

d)

D

40.

Rationalize the denominator.

a)

A

b)

B

c)

C

d)

D

41.

Rationalize the denominator

a)

A.

b)

B.

c)

C.

d)

D.

42.

Rationalize the denominator.

a)

A

b)

B

c)

C

d)

D

43.

a)

A

b)

B

c)

C

d)

D

44.

What does SOH stand for

a)

hypotenuse over opposite

b)

adjacent over opposite
opposite over adjacent

c)

opposite over hypotenuse

d)

adjacent over adjacent

45.

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

a)

any type

b)

right triangle

c)

obtuse triangle

d)

acute triangle

46.

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

a)

RIGHTANG

b)

SOHCAHTOA

c)

SHOCHATOA

47.

What is the side across from the right angle called?

a)

Leg

b)

Pythagoras

c)

Hypotenuse

d)

Altitude

48.

Find sinA

a)

32/40

b)

32/24

c)

24/40

d)

24/32

49.

FInd tanX

a)

32/40

b)

40/24

c)

32/24

d)

24/32

50.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

51.

What is the ratio for tangent?

a)

O/A

b)

A/O

c)

A/H

d)

O/H

52.

What is the ratio for sine?

a)

O/H

b)

H/A

c)

H/O

d)

O/A

53.

What is the ratio for cosine?

a)

H/A

b)

O/A

c)

A/H

d)

A/O

54.

Which method would you use to solve for x?

a)

Sine

b)

Cosine

c)

Tangent

d)

Pythagorean Theorem

55.

Which method would you use to solve for x?

a)

Sine

b)

Cosine

c)

Tangent

d)

Pythagorean Theorem

56.

Sin θ =

a)

adj/hyp

b)

opp/hyp

c)

adj/opp

d)

opp/adj

57.

a)

1/3

b)

1/2

c)

1/4

d)

1/18

58.

a)

Cos A = 15/17

b)

Cos A = 8/17

c)

Sin A = 4/15

d)

Sin A = 15/17

59.

a)

15/8

b)

8/15

c)

8/17

d)

15/17

60.

a)

3/4

b)

3/5

c)

4/5

d)

4/3

61.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

62.

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

a)

5

b)

5√2

c)

10

d)

5√3

63.

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

a)

8√2

b)

4√2

c)

4

d)

8

64.

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

a)

4√2

b)

4

c)

8

d)

4√3

65.

What is the measure of side c?

a)

7

b)

7/√2

c)

7√2

d)

14

66.

Find a.

a)

2

b)

4

c)

2/√2

d)

2√3

67.

Find x.

a)

4

b)

2

c)

√3

d)

2√2

68.

Find x.

a)

10

b)

√3

c)

5

d)

10√3

69.

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

70.

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

71.

Find the value of y.

a)

8

b)

4

c)

2√3

d)

8√3

72.

How long is e?

a)

3

b)

6

c)

6√3

d)

6√2

Trig Intro Review

Total questions: 72

Worksheet time: 4hrs 36mins

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