Free Printable G Triangles and Right Triangles Review Game (unit 6)

1.

What is the correct value for x and y?

a)

x=4

y=4

b)

x=4

y=4 $\sqrt[]{2}$

c)

x=4 $\sqrt[]{2}$

y=4

d)

x=4 $\sqrt[]{2}$

y=4 $\sqrt[]{2}$

2.

What is the correct value for x and y?

a)

x=12

y=12

b)

x=12

y=12 $\sqrt[]{2}$

c)

x=12 $\sqrt[]{2}$

y=12

d)

x=12 $\sqrt[]{2}$

y=12 $\sqrt[]{2}$

3.

What is the correct value for x and y?

a)

x=2

y=2

b)

x=2

y=2 $\sqrt[]{2}$

c)

x=2 $\sqrt[]{2}$

y=2

d)

x=2 $\sqrt[]{2}$

y=2 $\sqrt[]{2}$

4.

What is the correct value for x?

a)

x=11

b)

x=11 $\sqrt[]{2}$

c)

x=2 $\sqrt[]{11}$

d)

x= $\sqrt[]{22}$

5.

What is the correct value for x?

a)

x=17

b)

x=17 $\sqrt[]{2}$

c)

x=2 $\sqrt[]{17}$

d)

x= $\sqrt[]{34}$

6.

What is the correct value for x?

a)

x=9

b)

x= $\sqrt[]{18}$

c)

x=2 $\sqrt[]{9}$

d)

x=9 $\sqrt[]{2}$

7.

What is the correct value for x?

a)

x=1

b)

x= $\sqrt[]{2}$

c)

x=2

d)

x=2 $\sqrt[]{2}$

8.

What is the correct value for x?

a)

x=7

b)

x=2 $\sqrt[]{7}$

c)

x= $\sqrt[]{14}$

d)

x=7 $\sqrt[]{2}$

9.

Name this triangle

a)

Acute, Scalene

b)

Obtuse, Scalene

c)

Right, Isosceles

d)

Acute, Equilateral

10.

Which type of triangle is pictured?

a)

Equilateral Triangle

b)

Right Isosceles Triangle

c)

Obtuse Scalene Triangle

d)

Obtuse Equilateral Triangle

11.

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

a)

scalene

b)

acute

c)

equilateral

d)

isosceles

12.

Classify this triangle by its sides and angles.

a)

obtuse & equilateral

b)

obtuse & isosceles

c)

right & isosceles

d)

right & equilateral

13.

Classify this triangle by its sides and angles.

a)

obtuse & isosceles

b)

right & scalene

c)

right & isosceles

d)

obtuse & scalene

14.

Classify this triangle by its sides and angles.

a)

obtuse & isosceles

b)

obtuse & equilateral

c)

right & isosceles

d)

right & equilateral

15.

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

16.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

17.

Which equation can be used to solve for "x"?

a)

15² – x² = 21²

b)

x² – 15² = 21²

c)

15² + 21² = x²

d)

21² – 15² = x²

18.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

19.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

20.

What type of triangle will these side lengths form?

13, 12, 15

a)

Right

b)

Acute

c)

Obtuse

21.

What type of triangle will these side lengths form?

9, 12, 15

a)

Right

b)

Acute

c)

Obtuse

22.

What type of triangle will these side lengths form?

9, 10, 15

a)

Right

b)

Acute

c)

Obtuse

23.

What type of triangle will these side lengths form?

7, 8, 10

a)

Right

b)

Acute

c)

Obtuse

24.

What type of triangle will these side lengths form?

9, 11, 15

a)

Right

b)

Acute

c)

Obtuse

25.

a)

72

b)

67

c)

65

d)

54

26.

Find x.

a)

180

b)

57

c)

61.5

d)

32.7

27.

Determine x

a)

93

b)

71

c)

81

d)

55

28.

a)

12

b)

11

c)

8

d)

6

29.

What is the value of x?

a)

51

b)

49

c)

78

30.

Where would the largest side of a triangle be located?

a)

Across from the largest angle.

b)

Across from the smallest angle.

c)

Next to the smallest side.

d)

Across the smallest side.

31.

Name the angles from SMALLEST to LARGEST

a)

Q, R, P

b)

P, Q, R

c)

R, P, Q

d)

R, Q, P

32.

Name the sides from SMALLEST to LARGEST

a)

RS, ST, TR

b)

ST, RT, RS

c)

RT, ST, RS

d)

RT, RS, ST

33.

Name the angles from LARGEST to SMALLEST

a)

R, S, T

b)

S, T, R

c)

S, R, T

d)

T, S, R

34.

Name the sides from LARGEST to SMALLEST

a)

KJ, KH, JH

b)

JH, KH, KJ

c)

KH, KJ, JH

d)

KH, JH, KJ

35.

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

36.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

37.

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

a)

sine

b)

cosine

c)

tangent

38.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

39.

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

40.

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

a)

sine

b)

cosine

c)

tangent

41.

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

a)

sine

b)

cosine

c)

tangent

42.

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

a)

sine

b)

cosine

c)

tangent

43.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

44.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

45.

Choose the correct ratio.

a)

cos(57)=x/20

b)

sin(57)=x/20

c)

cos(57)=20/x

d)

sin(57)=20/x

46.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

47.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

48.

Find the measure of the missing angle.

a)

28.1

b)

61.9

c)

25.2

d)

56.1

49.

Find the measure of AB.

a)

11.6

b)

6.99

c)

14.3

d)

5.7

50.

Find the measure of the missing angle.

a)

70.8

b)

19.2

c)

43.4

d)

26.2

51.

Find the length of AC.

a)

5.7

b)

15.3

c)

34.4

d)

12.8

52.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

53.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

54.

Find the measure of the indicated angle.

a)

9.39

b)

55.2

c)

20.2

d)

19.4

55.

Solve for the missing distance

a)

18.9 meters

b)

19.5 meters

c)

47.2 meters

d)

27.5 meters

56.

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?

a)

23 feet

b)

43 feet

c)

110 feet

d)

135 feet

57.

Find the measure of the indicated angle.

a)

9.39

b)

55.2

c)

20.2

d)

19.4

58.

Find the measure of the smallest angle in a right triangle with sides measuring 9, 12, and 15.

a)

43^o

b)

35^o

c)

53^o

d)

37^o

59.

Solve for the missing distance

a)

18.9 meters

b)

19.5 meters

c)

47.2 meters

d)

27.5 meters

60.

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?

a)

23 feet

b)

43 feet

c)

110 feet

d)

135 feet

61.

A 25ft ladder is leaning up against a wall. If the ladder makes a 63^o with the ground, how far is the base of the ladder from the wall?

a)

12.4 ft

b)

11.3 ft

c)

22.3 ft

d)

49.1 ft

62.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

63.

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

64.

a)

24/32

b)

32/24

c)

32/40

d)

24/40

65.

a)

27/36

b)

27/45

c)

45/36

d)

45/27

66.

Which one is one of the easy ways to learn trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

67.

Choose the correct ratio.

a)

sinZ=5/13

b)

sinX=5/13

c)

cosX=13/12

d)

tanZ=12/5

68.

Which trigonometric ratio is correct?

a)

sinA= opp/adj

b)

cosA= opp/hyp

c)

tanA= opp/adj

d)

sinA= adj/opp

69.

Find Cos(A) as a decimal rounded the the nearest ten-thousandth.

a)

.4706

b)

1.875

c)

.8824

d)

.5333

70.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

71.

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

72.

Solve for the misssing distance

a)

18.9 meters

b)

19.5 meters

c)

47.2 meters

d)

27.5 meters

73.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

74.

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

75.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

76.

Which scenario describes the picture shown?

a)

A 5 foot ramp is 8 feet away from a building. What is the angle that the ramp makes with the ground?

b)

A 5 foot ramp leans against an 8 foot structure. What is the angle that the ramp makes with the ground?

c)

An 8 foot ramp leans
against a building 5 feet away. What angle does the ramp make with the ground?

d)

A 5 foot man is 8 feet away from a building. What is the angle of elevation?

77.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

78.

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

a)

6

b)

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

c)

3

d)

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

79.

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

a)

$4\sqrt{3}$

b)

4

c)

8

d)

$4\sqrt{2}$

80.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

81.

In the drawing, the dashed line segment represents the distance across a pond. In the scale drawing what is the distance across the pond in inches?

a)

100 in

b)

20 yds

c)

10 in

d)

200 yds

82.

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

a)

4

b)

u

c)

v

83.

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

84.

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

85.

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

G Triangles and Right Triangles Review Game (unit 6)

Total questions: 85

Worksheet time: 6hrs 17mins

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