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Worksheets

Polar Coordinates, Combined

Total questions: 121

Worksheet time: 1hrs 18mins

Name
Class
Date
1.

Which angle above the horizon is the dot at?

θ=\theta=

a)

15°15\degree

b)

30°30\degree

c)

45°45\degree

d)

60°60\degree

e)

75°75\degree

2.

Which angle above the horizon is the dot at?

θ=\theta=

a)

15°15\degree

b)

30°30\degree

c)

45°45\degree

d)

60°60\degree

e)

75°75\degree

3.

Which angle above the horizon is the dot at?

θ=\theta=

a)

15°15\degree

b)

30°30\degree

c)

45°45\degree

d)

60°60\degree

e)

75°75\degree

4.

Which angle above the horizon is the dot at?

θ=\theta=

a)

15°15\degree

b)

30°30\degree

c)

45°45\degree

d)

60°60\degree

e)

75°75\degree

5.

Which angle above the horizon is the dot at?

θ=\theta=

a)

15°15\degree

b)

30°30\degree

c)

45°45\degree

d)

60°60\degree

e)

75°75\degree

6.

What angle is the blue dot at?

θ=(a)<spanclass=\theta= (a) <span class=

7.

What angle is the blue dot at?

θ=(a)<spanclass=\theta= (a) <span class=

8.

What angle is the blue dot at?

θ=(a)<spanclass=\theta= (a) <span class=

9.

What angle is the blue dot at?

θ=(a)<spanclass=\theta= (a) <span class=

10.

What angle is the blue dot at?

θ=(a)<spanclass=\theta= (a) <span class=

11.

What angle is the blue dot at?

θ=(a)<spanclass=\theta= (a) <span class=

12.

What angle is the blue dot at?

θ=(a)<spanclass=\theta= (a) <span class=

13.

What angle is the blue dot at?

θ=(a)<spanclass=\theta= (a) <span class=

14.

What angle is the blue dot at?

θ=(a)<spanclass=\theta= (a) <span class=

15.

What angle is the blue dot at?

θ=(a)<spanclass=\theta= (a) <span class=

16.

What angle is the blue dot at?

θ=(a)<spanclass=\theta= (a) <span class=

17.

What angle is the blue dot at?

θ=(a)<spanclass=\theta= (a) <span class=

18.

How far is the dot from the origin?

r=

a)

1

b)

2

c)

3

d)

4

19.

How far is the dot from the origin?

r=

a)

1

b)

2

c)

3

d)

4

20.

How far is the dot from the origin?

r=

a)

1

b)

2

c)

3

d)

4

21.

How far is the dot from the origin?

r=

a)

1

b)

2

c)

3

d)

4

22.

How far is the dot from the origin?

r=

a)

1

b)

2

c)

3

d)

4

23.

How far is the dot from the origin?

r=

a)

1

b)

2

c)

3

d)

4

24.

How far is the dot from the origin?

r=

a)

1

b)

2

c)

3

d)

4

25.

How far is the dot from the origin?

r=

a)

1

b)

2

c)

3

d)

4

26.

How far is the dot from the origin?

r=

a)

1

b)

2

c)

3

d)

4

27.

How far is the dot from the origin?

r=

a)

1

b)

2

c)

3

d)

4

28.

How far is the dot from the origin?

r=

a)

1

b)

2

c)

3

d)

4

29.

How far is the dot from the origin?

r=

a)

1

b)

2

c)

3

d)

4

30.

Which angle above the horizon is the dot at?

θ=\theta=

a)

15°15\degree

b)

30°30\degree

c)

45°45\degree

d)

60°60\degree

e)

75°75\degree

31.

Which angle above the horizon is the dot at?

θ=\theta=

a)

15°15\degree

b)

30°30\degree

c)

45°45\degree

d)

60°60\degree

e)

75°75\degree

32.

Which angle above the horizon is the dot at?

θ=\theta=

a)

15°15\degree

b)

30°30\degree

c)

45°45\degree

d)

60°60\degree

e)

75°75\degree

33.

Which angle above the horizon is the dot at?

θ=\theta=

a)

15°15\degree

b)

30°30\degree

c)

45°45\degree

d)

60°60\degree

e)

75°75\degree

34.

Which angle above the horizon is the dot at?

θ=\theta=

a)

15°15\degree

b)

30°30\degree

c)

45°45\degree

d)

60°60\degree

e)

75°75\degree

35.

Which angle above the horizon is the dot at?

θ=\theta=

a)

15°15\degree

b)

30°30\degree

c)

45°45\degree

d)

60°60\degree

e)

75°75\degree

36.

Which angle above the horizon is the dot at?

θ=\theta=

a)

15°15\degree

b)

30°30\degree

c)

45°45\degree

d)

60°60\degree

e)

75°75\degree

37.

Which angle above the horizon is the dot at?

θ=\theta=

a)

15°15\degree

b)

30°30\degree

c)

45°45\degree

d)

60°60\degree

e)

75°75\degree

38.

Which angle above the horizon is the dot at?

θ=\theta=

a)

15°15\degree

b)

30°30\degree

c)

45°45\degree

d)

60°60\degree

e)

75°75\degree

39.

Which angle above the horizon is the dot at?

θ=\theta=

a)

15°15\degree

b)

30°30\degree

c)

45°45\degree

d)

60°60\degree

e)

75°75\degree

40.

Which angle above the horizon is the dot at?

θ=\theta=

a)

15°15\degree

b)

30°30\degree

c)

45°45\degree

d)

60°60\degree

e)

75°75\degree

41.

Which angle above the horizon is the dot at?

θ=\theta=

a)

15°15\degree

b)

30°30\degree

c)

45°45\degree

d)

60°60\degree

e)

75°75\degree

42.

Which angle above the horizon is the dot at?

θ=\theta=

a)

15°15\degree

b)

30°30\degree

c)

45°45\degree

d)

60°60\degree

e)

75°75\degree

43.

Which angle above the horizon is the dot at?

θ=\theta=

a)

15°15\degree

b)

30°30\degree

c)

45°45\degree

d)

60°60\degree

e)

75°75\degree

44.

Which angle above the horizon is the dot at?

θ=\theta=

a)

15°15\degree

b)

30°30\degree

c)

45°45\degree

d)

60°60\degree

e)

75°75\degree

45.

What angle is the blue dot at?

θ=(a)<spanclass=\theta= (a) <span class=

46.

What angle is the blue dot at?

θ=(a)<spanclass=\theta= (a) <span class=

47.

What angle is the blue dot at?

θ=(a)<spanclass=\theta= (a) <span class=

48.

What angle is the blue dot at?

θ=(a)<spanclass=\theta= (a) <span class=

49.

What angle is the blue dot at?

θ=(a)<spanclass=\theta= (a) <span class=

50.

What angle is the blue dot at?

θ=(a)<spanclass=\theta= (a) <span class=

51.

What angle is the blue dot at?

θ=(a)<spanclass=\theta= (a) <span class=

52.

What angle is the blue dot at?

θ=(a)<spanclass=\theta= (a) <span class=

53.

What angle is the blue dot at?

θ=(a)<spanclass=\theta= (a) <span class=

54.

What angle is the blue dot at?

θ=(a)<spanclass=\theta= (a) <span class=

55.

What angle is the blue dot at?

θ=(a)<spanclass=\theta= (a) <span class=

56.

How far is the blue dot from the origin?

r=r=

(a)  

57.

How far is the blue dot from the origin?

r=r=

(a)  

58.

How far is the blue dot from the origin?

r=r=

(a)  

59.

How far is the blue dot from the origin?

r=r=

(a)  

60.

How far is the blue dot from the origin?

r=r=

(a)  

61.

How far is the blue dot from the origin?

r=r=

(a)  

62.

How far is the blue dot from the origin?

r=r=

(a)  

63.

How far is the blue dot from the origin?

r=r=

(a)  

64.

If

θ=0°\theta=0\degree

then

r=r=

a)

1

b)

2

c)

3

d)

4

65.

If

θ=15°\theta=15\degree

then

r=r=

a)

1

b)

2

c)

3

d)

4

66.

If

θ=30°\theta=30\degree

then

r=r=

a)

1

b)

2

c)

3

d)

4

67.

If

θ=45°\theta=45\degree

then

r=r=

a)

1

b)

2

c)

3

d)

4

68.

If

θ=60°\theta=60\degree

then

r=r=

a)

1

b)

2

c)

3

d)

4

69.

If

θ=75°\theta=75\degree

then

r=r=

a)

1

b)

2

c)

3

d)

4

70.

If

θ=90°\theta=90\degree

then

r=r=

a)

1

b)

2

c)

3

d)

4

71.

If

θ=0°\theta=0\degree

then

r=r=

a)

1

b)

2

c)

3

d)

4

72.

If

θ=15°\theta=15\degree

then

r=r=

a)

1

b)

2

c)

3

d)

4

73.

If

θ=30°\theta=30\degree

then

r=r=

a)

1

b)

2

c)

3

d)

4

74.

If

θ=45°\theta=45\degree

then

r=r=

a)

1

b)

2

c)

3

d)

4

75.

If

θ=60°\theta=60\degree

then

r=r=

a)

1

b)

2

c)

3

d)

4

76.

If

θ=75°\theta=75\degree

then

r=r=

a)

1

b)

2

c)

3

d)

4

77.

If

θ=90°\theta=90\degree

then

r=r=

a)

1

b)

2

c)

3

d)

4

78.

If

θ=0°\theta=0\degree

then

r=r=

a)

1

b)

2

c)

3

d)

4

79.

If

θ=15°\theta=15\degree

then

r=r=

a)

1

b)

2

c)

3

d)

4

80.

If

θ=30°\theta=30\degree

then

r=r=

a)

1

b)

2

c)

3

d)

4

81.

If

θ=45°\theta=45\degree

then

r=r=

a)

1

b)

2

c)

3

d)

4

82.

If

θ=60°\theta=60\degree

then

r=r=

a)

1

b)

2

c)

3

d)

4

83.

If

θ=75°\theta=75\degree

then

r=r=

a)

1

b)

2

c)

3

d)

4

84.

If

θ=90°\theta=90\degree

then

r=r=

a)

1

b)

2

c)

3

d)

4

85.

What rectangular coordinates does this point have?

(x, y)=\left(x,\ y\right)=

a)

(4, 7)

b)

(7, 4)

c)

(5, 5)

d)

(7, 7)

86.

What rectangular coordinates does this point have?

(x, y)=\left(x,\ y\right)=

a)

(4, 7)

b)

(7, 4)

c)

(5, 5)

d)

(7, 7)

87.

What rectangular coordinates does this point have?

(x, y)=\left(x,\ y\right)=

a)

(4, 7)

b)

(7, 4)

c)

(5, 5)

d)

(7, 7)

88.

What rectangular coordinates does this point have?

(x, y)=\left(x,\ y\right)=

a)

(4, 7)

b)

(7, 4)

c)

(5, 5)

d)

(7, 7)

89.

What polar coordinates does this point have?

(r, θ)=\left(r,\ \theta\right)=

a)

(7, 45°)\left(7,\ 45\text{\degree}\right)

b)

(8, 30°)\left(8,\ 30\degree\right)

c)

(8, 60°)\left(8,\ 60\degree\right)

d)

(10, 45°)\left(10,\ 45\degree\right)

90.

What polar coordinates does this point have?

(r, θ)=\left(r,\ \theta\right)=

a)

(7, 45°)\left(7,\ 45\text{\degree}\right)

b)

(8, 30°)\left(8,\ 30\degree\right)

c)

(8, 60°)\left(8,\ 60\degree\right)

d)

(10, 45°)\left(10,\ 45\degree\right)

91.

What polar coordinates does this point have?

(r, θ)=\left(r,\ \theta\right)=

a)

(7, 45°)\left(7,\ 45\text{\degree}\right)

b)

(8, 30°)\left(8,\ 30\degree\right)

c)

(8, 60°)\left(8,\ 60\degree\right)

d)

(10, 45°)\left(10,\ 45\degree\right)

92.

What polar coordinates does this point have?

(r, θ)=\left(r,\ \theta\right)=

a)

(7, 45°)\left(7,\ 45\text{\degree}\right)

b)

(8, 30°)\left(8,\ 30\degree\right)

c)

(8, 60°)\left(8,\ 60\degree\right)

d)

(10, 45°)\left(10,\ 45\degree\right)

93.

What polar coordinates does this point have?

(r, θ)=\left(r,\ \theta\right)=

a)

(7, 45°)\left(7,\ 45\text{\degree}\right)

b)

(8, 30°)\left(8,\ 30\degree\right)

c)

(8, 60°)\left(8,\ 60\degree\right)

d)

(10, 45°)\left(10,\ 45\degree\right)

94.

What polar coordinates does this point have?

(r, θ)=\left(r,\ \theta\right)=

a)

(7, 45°)\left(7,\ 45\text{\degree}\right)

b)

(8, 30°)\left(8,\ 30\degree\right)

c)

(8, 60°)\left(8,\ 60\degree\right)

d)

(10, 45°)\left(10,\ 45\degree\right)

95.

What polar coordinates does this point have?

(r, θ)=\left(r,\ \theta\right)=

a)

(7, 45°)\left(7,\ 45\text{\degree}\right)

b)

(8, 30°)\left(8,\ 30\degree\right)

c)

(8, 60°)\left(8,\ 60\degree\right)

d)

(10, 45°)\left(10,\ 45\degree\right)

96.

What polar coordinates does this point have?

(r, θ)=\left(r,\ \theta\right)=

a)

(7, 45°)\left(7,\ 45\text{\degree}\right)

b)

(8, 30°)\left(8,\ 30\degree\right)

c)

(8, 60°)\left(8,\ 60\degree\right)

d)

(10, 45°)\left(10,\ 45\degree\right)

97.

What rectangular coordinates does this point have?

(x, y)=\left(x,\ y\right)=

a)

(4, 7)

b)

(7, 4)

c)

(5, 5)

d)

(7, 7)

98.

What rectangular coordinates does this point have?

(x, y)=\left(x,\ y\right)=

a)

(4, 7)

b)

(7, 4)

c)

(5, 5)

d)

(7, 7)

99.

What rectangular coordinates does this point have?

(x, y)=\left(x,\ y\right)=

a)

(4, 7)

b)

(7, 4)

c)

(5, 5)

d)

(7, 7)

100.

What rectangular coordinates does this point have?

(x, y)=\left(x,\ y\right)=

a)

(4, 7)

b)

(7, 4)

c)

(5, 5)

d)

(7, 7)

101.

Match the following to their rectangular coordinates, (x, y).

a)

1.

(4, 7)

b)

2.

(5, 5)

c)

3.

(7, 4)

d)

4.

(7, 7)

102.

Which diagram has the dot at the same place as this one?

a)

b)

c)

d)

103.

Which diagram has the dot at the same place as this one?

a)

b)

c)

d)

104.

Which diagram has the dot at the same place as this one?

a)

b)

c)

d)

105.

Which diagram has the dot at the same place as this one?

a)

b)

c)

d)

106.

Which diagram has the dot at the same place as this one?

a)

b)

c)

d)

107.

Which diagram has the dot at the same place as this one?

a)

b)

c)

d)

108.

Which diagram has the dot at the same place as this one?

a)

b)

c)

d)

109.

Which diagram has the dot at the same place as this one?

a)

b)

c)

d)

110.

Which two diagrams have the dot at the same place (or nearly) as this one?

a)

b)

c)

d)

111.

Which two diagrams have the dot at the same place (or nearly) as this one?

a)

b)

c)

d)

112.

Which two diagrams have the dot at the same place (or nearly) as this one?

a)

b)

c)

d)

113.

Which two diagrams have the dot at the same place (or nearly) as this one?

a)

b)

c)

d)

114.

The point at

(x, y)=(5, 5)

is closest to

(r, θ)=

a)

(7, 45°)\left(7,\ 45\degree\right)

b)

(8, 30°)\left(8,\ 30\degree\right)

c)

(8, 60°)\left(8,\ 60\degree\right)

d)

(10, 45°)\left(10,\ 45\degree\right)

115.

The point at

(x, y)=(4, 7)

is closest to

(r, θ)=

a)

(7, 45°)\left(7,\ 45\degree\right)

b)

(8, 30°)\left(8,\ 30\degree\right)

c)

(8, 60°)\left(8,\ 60\degree\right)

d)

(10, 45°)\left(10,\ 45\degree\right)

116.

The point at

(x, y)=(7, 4)

is closest to

(r, θ)=

a)

(7, 45°)\left(7,\ 45\degree\right)

b)

(8, 30°)\left(8,\ 30\degree\right)

c)

(8, 60°)\left(8,\ 60\degree\right)

d)

(10, 45°)\left(10,\ 45\degree\right)

117.

The point at

(x, y)=(7, 7)

is closest to

(r, θ)=

a)

(7, 45°)\left(7,\ 45\degree\right)

b)

(8, 30°)\left(8,\ 30\degree\right)

c)

(8, 60°)\left(8,\ 60\degree\right)

d)

(10, 45°)\left(10,\ 45\degree\right)

118.

The point at

(r, θ)=(8, 30°)

is closest to

(x, y)=

a)

(5, 5)

b)

(7, 7)

c)

(4, 7)

d)

(7, 4)

119.

The point at

(r, θ)=(10, 45°)

is closest to

(x, y)=

a)

(5, 5)

b)

(7, 7)

c)

(4, 7)

d)

(7, 4)

120.

The point at

(r, θ)=(7, 45°)

is closest to

(x, y)=

a)

(5, 5)

b)

(7, 7)

c)

(4, 7)

d)

(7, 4)

121.

The point at

(r, θ)=(8, 60°)

is closest to

(x, y)=

a)

(5, 5)

b)

(7, 7)

c)

(4, 7)

d)

(7, 4)