Free Printable KCain Unit 12 Polar Super Quizziz review

1.

Convert the rectangular coordinates to polar form

a)

(√2 , 7π/4)

b)

(2 , 3π/4)

c)

(4 , π/4)

d)

(4 , 5π/4)

2.

Convert the polar coordinates to rectangular form

a)

(1, 1)

b)

(1, -1)

c)

(-1, 0)

d)

(-1, -1)

3.

Convert the polar coordinates to rectangular form

a)

( -3, 3)

b)

(3, 3√3)

c)

(-3, 3√3)

d)

(3, -3√3)

4.

Which equation represents the polar graph?

a)

r = sin θ

b)

r = sin 4θ

c)

r = 4 sin θ

d)

r = 4 cos θ

5.

Which point represents the polar coordinate
(-4, -2π/3)

a)

B

b)

F

c)

D

d)

A

6.

True or False: Polar Coordinates are unique?

a)

True

b)

False

c)

Made you look

d)

this quizizz rocks

7.

How do you write an ordered pair?

a)

(X,X)

b)

(θ, r)

c)

(r,θ)

d)

(Y,Y)

8.

Convert the polar coordinates to rectangular form.
(6, 2π/3)

a)

( -3, 3)

b)

(3, 3√3)

c)

(-3, 3√3)

d)

(3, -3√3)

9.

Find the polar coordinates of the rectangular point. (-3,0)

a)

(3,π)

b)

(3,0)

c)

(3,π/2)

d)

(3,-3π/2)

10.

Find the polar coordinates of the rectangular point. (0,3)

a)

(3,π)

b)

(3,0)

c)

(3,π/2)

d)

(3,-3π/2)

11.

Which point represents (3, 3π/4)?

a)

F

b)

E

c)

B

d)

A

12.

In the coordinate points (2,7⁰) the 2 represents the...

a)

theta

b)

radius

c)

x

d)

angle

13.

Which point represents (5, π)

a)

F

b)

E

c)

B

d)

A

14.

Which point represents (-4, π/2)

a)

D

b)

C

c)

B

d)

A

15.

Convert the polar coordinates to rectangular form

a)

( -3, 3)

b)

(3, 3√3)

c)

(-3, 3√3)

d)

(3, -3√3)

16.

Find the rectangular coordinates of each polar point. (4, 3π/2)

a)

(4,4)

b)

(4,0)

c)

(0,-4)

d)

(0,1)

17.

Convert from polar coordinates, (6, 5π/4) to rectangular coordinates.

a)

(-3√2, -3√2)

b)

(3√2, 3√2)

c)

(6.0, 0.4)

d)

(-6.0, -0.4)

18.

Convert from polar coordinates, (20, 11π/6) to rectangular coordinates.

a)

(-10√3, 10)

b)

(10√3, -10)

c)

(10, -10√3)

d)

(10√2, -10)

19.

Convert the polar coordinates to rectangular coordinates.

a)

b)

c)

d)

20.

Find polar coordinates for the point:
(√3 , 1)

a)

(2, π/6)

b)

(-2, -π/6)

c)

(1,0)

d)

(4π,-2)

21.

Convert from rectangular to polar coordinates. (-4, 4)

a)

(4√2, π/4)

b)

(4√2, 3π/4)

c)

(4√2, -π/4)

d)

(-4√2, -7π/4)

22.

Which point represents (-4, π/2)

a)

D

b)

C

c)

B

d)

A

23.

How do you write an ordered pair in polar form?

a)

(x,y)

b)

(θ, r)

c)

(r,θ)

d)

(r,y)

24.

When converting between rectangular and polar coordinates:

y = ?

a)

rcosθ

b)

rsinθ

c)

x² + y²

d)

y/x, x ≠ 0

25.

10.1-10.2 Converting between rectangular and polar coordinates:
x = ?

a)

rcosθ

b)

rsinθ

c)

x² + y²

d)

y/x, x ≠ 0

26.

What is the equation?

a)

r = 4

b)

r = 8

c)

r = 4sin(Θ)

d)

r = 8sin(Θ)

27.

What is the equation?

a)

Θ = π/4

b)

Θ = -5π/4

c)

Θ = -3π/4

d)

Θ = 5π/4

28.

Convert the polar coordinates to rectangular form $\left(\sqrt{2},\ -\frac{\pi}{4}\right)$

a)

(1, 1)

b)

(1, -1)

c)

(-1, 0)

d)

(-1, -1)

29.

Convert the polar coordinates to rectangular form $\left(6,\ \frac{2\pi}{3}\right)$

a)

( -3, 3)

b)

(3, 3√3)

c)

(-3, 3√3)

d)

(3, -3√3)

30.

Covert the rectangular equation to polar form $x^2+y^2=9$

a)

r² = 81

b)

r = 3

c)

r = 4.5

d)

r sin θ = 9

31.

Covert the rectangular equation to polar form $y=x^2$

a)

r = cot θ csc θ

b)

r = tan θ csc θ

c)

r = tan θ sec θ

d)

r = 0

32.

Convert the rectangular equation to polar form.
$y=\frac{x}{2}$

a)

$\theta=\frac{5\pi}{6}$

b)

$\cot\theta=2$

c)

$\cot\theta=5$

d)

$\theta=\frac{3\pi}{4}$

33.

Convert the rectangular equation to polar form.
$y=-x\sqrt{3}$

a)

$\cot\theta=2$

b)

$\tan\theta=1$

c)

$\cot\theta=5$

d)

$\theta=\frac{2\pi}{3}$

34.

Convert the rectangular equation to polar form.
$\left(x-3\right)^2+y^2=9$

a)

$r=6\cos\theta$

b)

$r=-2\cos\theta+6\sin\theta$

c)

$r=6\cos\theta+2\sin\theta$

d)

$r=-6\sin\theta$

35.

Convert the rectangular equation to polar form.
$x^2+y^2=16$

a)

$r=4$

b)

$r=16$

c)

$r=4\cos\theta+4\sin\theta$

d)

$r=4\sin\theta$

36.

Convert the rectangular equation to polar form.
$x^2+\left(y-2\right)^2=4$

a)

$r=4\sin\theta$

b)

$r=6\sin\theta$

c)

$r=-2\cos\theta+4\sin\theta$

d)

$r=-4\cos\theta-2\sin\theta$

37.

Convert the polar equation to rectangular form.
$\theta=\frac{5\pi}{6}$

a)

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

b)

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

c)

$y=x$

d)

$y=-x\sqrt{3}$

38.

Convert the polar equation to rectangular form.
$r=2\tan\theta\sec\theta$

a)

$y=\frac{x^2}{2}$

b)

$x=y^2$

c)

$y=\frac{x^2}{4}$

d)

$x=\frac{y^2}{4}4$

39.

Convert the polar equation to rectangular form.
$\cot\theta=5$

a)

$y=\frac{x}{5}$

b)

$y=x\sqrt{3}$

c)

$y=x$

d)

$y=5x$

40.

Convert the polar equation to rectangular form.
$r=-4\sin\theta$

a)

$\left(x-2\right)^2+\left(y-1\right)^2=5$

b)

$\left(x-1\right)^2+\left(y-3\right)^2=10$

c)

$\left(x+1\right)^2+\left(y-2\right)^2=5$

d)

$x^2+\left(y+2\right)^2=4$

41.

Convert the polar equation to rectangular form.
$r=4\cos\theta-2\sin\theta$

a)

$\left(x+2\right)^2+y^2=4$

b)

$\left(x-2\right)^2+\left(y-1\right)^2=5$

c)

$\left(x-2\right)^2+\left(y+1\right)^2=5$

d)

$\left(x-1\right)^2+y^2=1$

42.

Convert the polar equation to rectangular form.
$r=2\tan\theta\sec\theta$

a)

$y=\frac{x^2}{2}$

b)

$x=y^2$

c)

$y=\frac{x^2}{4}$

d)

$x=\frac{y^2}{4}4$

43.

Convert the polar equation to rectangular form.
$\theta=\frac{5\pi}{6}$

a)

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

b)

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

c)

$y=x$

d)

$y=-x\sqrt{3}$

44.

Convert the rectangular equation to polar form.
$\left(x-3\right)^2+y^2=9$

a)

$r=6\cos\theta$

b)

$r=-2\cos\theta+6\sin\theta$

c)

$r=6\cos\theta+2\sin\theta$

d)

$r=-6\sin\theta$

45.

Convert the rectangular equation to polar form.
$x^2+\left(y-2\right)^2=4$

a)

$r=4\sin\theta$

b)

$r=6\sin\theta$

c)

$r=-2\cos\theta+4\sin\theta$

d)

$r=-4\cos\theta-2\sin\theta$

46.

Convert the polar equation to rectangular form.
$r=-4\sin\theta$

a)

$\left(x-2\right)^2+\left(y-1\right)^2=5$

b)

$\left(x-1\right)^2+\left(y-3\right)^2=10$

c)

$\left(x+1\right)^2+\left(y-2\right)^2=5$

d)

$x^2+\left(y+2\right)^2=4$

47.

Convert the polar equation to rectangular form.
$r=4\cos\theta-2\sin\theta$

a)

$\left(x+2\right)^2+y^2=4$

b)

$\left(x-2\right)^2+\left(y-1\right)^2=5$

c)

$\left(x-2\right)^2+\left(y+1\right)^2=5$

d)

$\left(x-1\right)^2+y^2=1$

48.

Convert the polar equation to rectangular form.
$r=2\tan\theta\sec\theta$

a)

$y=\frac{x^2}{2}$

b)

$x=y^2$

c)

$y=\frac{x^2}{4}$

d)

$x=\frac{y^2}{4}4$

49.

Convert the polar equation to rectangular form.
$\theta=\frac{5\pi}{6}$

a)

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

b)

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

c)

$y=x$

d)

$y=-x\sqrt{3}$

50.

Convert the rectangular equation to polar form.
$\left(x-3\right)^2+y^2=9$

a)

$r=6\cos\theta$

b)

$r=-2\cos\theta+6\sin\theta$

c)

$r=6\cos\theta+2\sin\theta$

d)

$r=-6\sin\theta$

51.

Convert the rectangular equation to polar form.
$x^2+\left(y-2\right)^2=4$

a)

$r=4\sin\theta$

b)

$r=6\sin\theta$

c)

$r=-2\cos\theta+4\sin\theta$

d)

$r=-4\cos\theta-2\sin\theta$

52.

Convert the polar equation to rectangular form.
$r=-4\sin\theta$

a)

$\left(x-2\right)^2+\left(y-1\right)^2=5$

b)

$\left(x-1\right)^2+\left(y-3\right)^2=10$

c)

$\left(x+1\right)^2+\left(y-2\right)^2=5$

d)

$x^2+\left(y+2\right)^2=4$

53.

Convert the polar equation to rectangular form.
$r=4\cos\theta-2\sin\theta$

a)

$\left(x+2\right)^2+y^2=4$

b)

$\left(x-2\right)^2+\left(y-1\right)^2=5$

c)

$\left(x-2\right)^2+\left(y+1\right)^2=5$

d)

$\left(x-1\right)^2+y^2=1$

54.

Which equation represents the polar graph?

a)

r = 6 + 6 sin θ

b)

r = 12 sin θ

c)

r = 6 - 6 sin θ

d)

r = 6 + 6 cos θ

55.

Which one is the polar bear?

a)

b)

c)

d)

56.

What is the equation for this graph?

a)

r² = 9cos2θ

b)

r² = 9sin2θ

c)

r² = 3cosθ

d)

r² = 3sinθ

57.

Identify the polar equation:
r=1+sinθ

a)

cardioid

b)

circle

c)

limacon with inner loop

d)

spiral

58.

Describe the symmetry of the polar curve.

r = 6 sin θ

Select all that apply

a)

About the Pole

b)

Over polar axis

c)

Over θ=π/2

d)

No polar symmetry

59.

Match the given polar equation with its corresponding graph.

$r=5\cos2\theta$

a)

rose

b)

lemniscate

c)

dimpled limacon

d)

cardioid

60.

Describe the curve.

a)

Rose with 4 leaves, Length 4

b)

Rose with 8 leaves, Length 4

c)

Cardioid with length 3

d)

Inner loop limacon with lengths 3 and 4

61.

Which of the following could be the equation for...

a)

r = sin 4θ

b)

r = 6 sin 2θ

c)

r = 6 cos 2θ

d)

r = cos 4θ

62.

What is the equation?

a)

r = 4sin(Θ)

b)

r = -2sin(Θ)

c)

r = 2cos(Θ)

d)

r = -4cos(Θ)

63.

Convert from rectangular to polar coordinate.

(-5,-12)

a)

(13, 67.8°)

b)

(13, 247.38°)

c)

(13, 11.62°)

d)

(-13, 67.8°)

64.

Match the correct polar equation with the following graph:

a)

r=1+cosθ

b)

rsinθ=2

c)

r=1-2sinθ

d)

r=2

65.

Identify the polar equation:
r=1+sinθ

a)

cardioid

b)

circle

c)

limacon with inner loop

d)

spiral

66.

Which of the following could be the equation for...

a)

r = 6 + 6 sin θ

b)

r = 12 sin θ

c)

r = 6 - 6 sin θ

d)

r = 6 + 6 cos θ

67.

Which of these is an equation for this dimpled limaçon?

a)

r = 3 + 2 cosθ

b)

r = 2 + 3 cosθ

c)

r = 2 + 2cosθ

d)

r = 2 - 3cosθ

68.

Choose the correct equation.

a)

r = 3 + 2 cosθ

b)

r = 2 + 3 cosθ

c)

r = 2 + 2cosθ

d)

r = 3cosθ

69.

Describe the symmetry of the polar curve.

r = 6 sin θ

Select all that apply

a)

About the Pole

b)

Over polar axis

c)

Over θ=π/2

d)

No polar symmetry

70.

Describe the symmetry of the polar curve.

r = 7 cos 4θ

Select all that apply

a)

About the Pole

b)

Over polar axis

c)

Over θ=π/2

d)

No Polar Symmetry

71.

What is the equation?

a)

r = 4

b)

r = 8

c)

r = 4sin(Θ)

d)

r = 8sin(Θ)

72.

This particular equation generates what graph

a)

b)

c)

d)

73.

Match the given polar equation with its corresponding graph.

r^2=9\cos2\theta

a)

rose

b)

lemniscate

c)

dimpled limacon

d)

cardioid

74.

Match the given polar equation with its corresponding graph.

$r=5\cos2\theta$

a)

rose

b)

lemniscate

c)

dimpled limacon

d)

cardioid

75.

Match the given polar equation with its corresponding graph.

$r=2-3\cos\theta$

a)

cardioid

b)

dimpled limacon

c)

inner loop limacon

d)

flat limacon

76.

Match the given polar equation with its corresponding graph.

$r=5+4\cos\theta$

a)

dimpled limacon

b)

cardioid

c)

inner loop limacon

d)

flat limacon

77.

Classify the type of polar curve.

a)

Rose

b)

Circle

c)

Inner loop limacon

d)

Dimpled limacon

78.

Classify the type of polar curve.

a)

Rose

b)

Cardiod

c)

Inner loop limacon

d)

Dimpled limacon

79.

Describe the curve.

a)

Rose with 4 leaves, Length 4

b)

Rose with 8 leaves, Length 4

c)

Cardioid with length 3

d)

Inner loop limacon with lengths 3 and 4

80.

Describe the curve.

a)

Circle with the bulk of the graph up with length 3

b)

Circle with the bulk of the graph down with length 3

c)

Cardioid with the bulk of the graph up with length 3

d)

Cardioid with the bulk of the graph down with length 3

81.

Describe the curve.

a)

Convex limacon with the bulk of the graph to the right

b)

Inner loop limacon with the bulk of the graph to the right

c)

Inner loop limacon with the bulk of the graph to the up

d)

Convex limacon with the bulk of the graph to the up

82.

Which of the following could be the equation for...

a)

r = sin 4θ

b)

r = 6 sin 2θ

c)

r = 6 cos 2θ

d)

r = cos 4θ

83.

The polar equation r = 7, when graphed, is a ...

a)

line through the origin

b)

circle centered at origin

c)

hyperbola orientated vertically

d)

none of your business

84.

Which polar equation is equivalent to the rectangular equation $y=x$ ?

a)

$\theta=-\frac{\pi}{3}$

b)

$\theta=\frac{\pi}{6}$

c)

$\theta=\frac{\pi}{4}$

d)

$\theta=\pi$

85.

What does the polar function look like? $r=\theta$

a)

a spiral

b)

a circle

c)

a line

d)

a rose

86.

How many "petals" does the graph of $r=8\cos10\theta$

a)

16

b)

10

c)

20

d)

8

87.

How many "petals" does the graph of $r=8\cos9\theta$

a)

9

b)

18

c)

8

d)

17

88.

Which equation is represented by the graph?

a)

$r=4\sin5\theta$

b)

$r=2.5\sin5\theta$

c)

$r=5\cos4\theta$

d)

$r=4\cos5\theta$

89.

Which equation below has 100 petals?

a)

$r=100\cos100\theta$

b)

$r=6\sin50\theta$

c)

$r=25\sin75\theta$

d)

$r=10\cos10\theta$

90.

Which is NOT true about the rose function
$r=7\sin6\theta$ ?

a)

Each petals is less than 10 units long

b)

There are more than 7 petals

c)

There are fewer than 11 petals

d)

It is symmetrical about the y-axis

91.

In the equation $r=7\cos4\theta$ if I changed the 4 to a 5 to get $r=7\cos5\theta$ , then what change took place in the graph?

a)

the amount of petals would decrease

b)

the amount of petals would increase

c)

the length of each petal would increase

d)

the length of each petal would decrease

92.

$r=5\cos n\theta$

Based on the graph shown find the value of n.

(a)

93.

$r=A\cos n\theta$ Based on the graph shown, find the value of A + n. (Both A and n are integers)

(a)

94.

$r=A\cos n\theta$ Based on the graph shown, find the value of A + n. (Both A and n are integers)

(a)

95.

$r=A\cos n\theta$ Based on the graph shown, find the value of A + n. (Both A and n are integers)

(a)

96.

Which of these is the equation of the graph shown?

a)

$r=5\cos4\theta$

b)

$r=5\sin5\theta$

c)

$r=4\cos8\theta$

d)

$r=5\cos8\theta$

97.

Which equation represents the graph shown?

a)

$r=5\cos6\theta$

b)

$r=5\cos5\theta$

c)

$r=5\sin7\theta$

d)

none of these

98.

Which equation represents the graph shown?

a)

$r=7\cos8\theta$

b)

$r=8\cos7\theta$

c)

$r=7\sin16\theta$

d)

none of these

99.

Which equation represents the graph shown?

a)

$r=3\cos3\theta$

b)

$r=10\sin3\theta$

c)

$r=7\sin3\theta$

d)

none of these

100.

Determine the polar equation of the given graph.

a)

r² = -9sin(2θ)

b)

r² = 9cos(2θ)

c)

r² = -9cos(2θ)

d)

r² = 9sin(2θ)

101.

Match the correct polar equation with the following graph:

a)

r=1+cosθ

b)

rsinθ=2

c)

r=1-2sinθ

d)

r=2

102.

Identify the polar equation:
r=1+sinθ

a)

cardioid

b)

circle

c)

limacon with inner loop

d)

spiral

103.

Which point represents (2, π/6)

a)

F

b)

E

c)

B

d)

A

104.

Classify the type of polar curve.

a)

Rose

b)

Cardiod

c)

Spiral of Archimedes

d)

Lemniscate

105.

Which of the following could be the equation for...

a)

r = 6 + 6 sin θ

b)

r = 12 sin θ

c)

r = 6 - 6 sin θ

d)

r = 6 + 6 cos θ

106.

Convert the rectangular equation to polar form

a)

r² = 81

b)

r = 3

c)

r = 4.5

d)

r sin θ = 9

107.

Choose a correct equation for the red circle.

a)

r = -3

b)

r = -3sinΘ

c)

r = -3cosΘ

d)

x² + y² = 3

108.

Choose a correct equation for the blue circle.

a)

r = 2

b)

r = 4

c)

r = 2sinΘ

d)

x² + y² = 2

109.

Which of these is an equation for this dimpled limaçon?

a)

r = 3 + 2 cosθ

b)

r = 2 + 3 cosθ

c)

r = 2 + 2cosθ

d)

r = 2 - 3cosθ

110.

Choose the correct equation.

a)

r = 3 + 2 cosθ

b)

r = 2 + 3 cosθ

c)

r = 2 + 2cosθ

d)

r = 3cosθ

111.

What is the equation?

a)

Θ = π/4

b)

Θ = -5π/4

c)

Θ = -3π/4

d)

Θ = 5π/4

112.

Identify the polar equation:
r=1-3cosθ

a)

Limacon with inner loop

b)

Limacon without inner loop

c)

rose

d)

spiral

113.

True or False: Polar Coordinates are unique? In other words, each point on a polar grid only has one way to write its coordinates.

a)

True

b)

False

c)

Made you look

d)

this quizizz rocks

114.

Match the given polar equation with its corresponding graph.

r^2=9\cos2\theta

a)

rose

b)

lemniscate

c)

dimpled limacon

d)

cardioid

115.

Match the given polar equation with its corresponding graph.

$r=5\cos2\theta$

a)

rose

b)

lemniscate

c)

dimpled limacon

d)

cardioid

116.

Match the given polar equation with its corresponding graph.

$r=2-3\cos\theta$

a)

cardioid

b)

dimpled limacon

c)

inner loop limacon

d)

flat limacon

117.

Match the given polar equation with its corresponding graph.

$r=5+4\cos\theta$

a)

dimpled limacon

b)

cardioid

c)

inner loop limacon

d)

flat limacon

118.

Match the given polar equation with its corresponding graph.

$r=-3-3\cos\theta$

a)

dimpled limacon

b)

cardioid

c)

flat limacon

d)

inner loop limacon

119.

Match the given polar equation with its corresponding graph.

$r=-2$

a)

Line passing through origin

b)

circle with center NOT at (0,0)

c)

spiral

d)

circle with center AT (0,0)

120.

Match the given polar equation with its corresponding graph.

$r\ =\ 2\theta$

a)

lemniscate

b)

spiral

c)

flat limacon

d)

line

121.

Match the given polar equation with its corresponding graph.

$\theta=\frac{2\theta}{3}$

a)

spiral

b)

limacon

c)

line passing through the origin

d)

cardioid

122.

Rewrite the following from rectangular form into polar form.

y = - 4

a)

$r=-\frac{4}{\cos\theta}$

b)

$r=-\frac{4}{\sin\theta}$

c)

$r=\frac{4}{\sin\theta}$

d)

$r=-4\theta$

123.

Rewrite the following polar equation into rectangular form.

$r=\frac{4}{3\cos\theta+7\sin\theta}$

a)

$7x+3y\ =\ 4$

b)

$y=\frac{4}{7}x-\frac{3}{7}$

c)

$7x-3y\ =\ 4$

d)

$y=-\frac{3}{7}x+\frac{4}{7}$

124.

The polar equation r = 7, when graphed, is a ...

a)

line through the origin

b)

circle centered at origin

c)

hyperbola orientated vertically

d)

none of your business

125.

What is the polar equation of the graph shown here?

a)

$\theta=-\frac{\pi}{4}$

b)

$\theta=\frac{\pi}{3}$

c)

$\theta=\pi$

d)

$\theta=\frac{\pi}{6}$

126.

Which polar equation is equivalent to the rectangular equation $y=x$ ?

a)

$\theta=-\frac{\pi}{3}$

b)

$\theta=\frac{\pi}{6}$

c)

$\theta=\frac{\pi}{4}$

d)

$\theta=\pi$

127.

What does the polar function look like? $r=\theta$

a)

a spiral

b)

a circle

c)

a line

d)

a rose

128.

How many "petals" does the graph of $r=8\cos10\theta$

a)

16

b)

10

c)

20

d)

8

129.

How many "petals" does the graph of $r=8\cos9\theta$

a)

9

b)

18

c)

8

d)

17

130.

Which equation is represented by the graph?

a)

$r=4\sin5\theta$

b)

$r=2.5\sin5\theta$

c)

$r=5\cos4\theta$

d)

$r=4\cos5\theta$

131.

Which equation below has 100 petals?

a)

$r=100\cos100\theta$

b)

$r=6\sin50\theta$

c)

$r=25\sin75\theta$

d)

$r=10\cos10\theta$

132.

Which is NOT true about the rose function
$r=7\sin6\theta$ ?

a)

Each petals is less than 10 units long

b)

There are more than 7 petals

c)

There are fewer than 11 petals

d)

It is symmetrical about the y-axis

133.

In the equation $r=7\cos4\theta$ if I changed the 4 to a 5 to get $r=7\cos5\theta$ , then what change took place in the graph?

a)

the amount of petals would decrease

b)

the amount of petals would increase

c)

the length of each petal would increase

d)

the length of each petal would decrease

134.

$r=5\cos n\theta$

Based on the graph shown find the value of n.

(a)

135.

$r=A\cos n\theta$ Based on the graph shown, find the value of A + n. (Both A and n are integers)

(a)

136.

$r=A\cos n\theta$ Based on the graph shown, find the value of A + n. (Both A and n are integers)

(a)

137.

$r=A\cos n\theta$ Based on the graph shown, find the value of A + n. (Both A and n are integers)

(a)

138.

Which of these is the equation of the graph shown?

a)

$r=5\cos4\theta$

b)

$r=5\sin5\theta$

c)

$r=4\cos8\theta$

d)

$r=5\cos8\theta$

139.

Which equation represents the graph shown?

a)

$r=5\cos6\theta$

b)

$r=5\cos5\theta$

c)

$r=5\sin7\theta$

d)

none of these

140.

Which equation represents the graph shown?

a)

$r=7\cos8\theta$

b)

$r=8\cos7\theta$

c)

$r=7\sin16\theta$

d)

none of these

141.

Which equation represents the graph shown?

a)

$r=3\cos3\theta$

b)

$r=10\sin3\theta$

c)

$r=7\sin3\theta$

d)

none of these

142.

Find the distance between two points $\left(-2,\frac{\pi}{3}\right),\left(3,\frac{2\pi}{3}\right)$

a)

4.36

b)

4.84

c)

2.65

d)

1.61

143.

Three of the following coordinates represent the same point. Which one represents a DIFFERENT point from the others?

a)

$\left(4,\frac{\pi}{3}\right)$

b)

$\left(4,-\frac{5\pi}{3}\right)$

c)

$\left(-4,\frac{5\pi}{3}\right)$

d)

$\left(-4,-\frac{2\pi}{3}\right)$

144.

Convert to a polar equation $3x+7y=9$

a)

$r=\frac{9}{\cos3\theta+\sin7\theta}$

b)

$r=\frac{9}{7\cos\theta+3\sin\theta}$

c)

$r=\frac{9}{3\cos\theta+7\sin\theta}$

d)

$r=\frac{9}{7\cos3\theta+3\sin7\theta}$

145.

Convert to a polar equation $y^2-4x=0$

a)

$r=4\cos\theta\sin^2\theta$

b)

$r=4\cot\theta\csc\theta$

c)

$r=4\sin\theta\cos^2\theta$

d)

$r=4\cot\theta\sec\theta$

146.

Find the graph of the equation $r^2=4\sin2\theta$

a)

b)

c)

d)

147.

Find the graph of the equation $r=-4\theta$

a)

b)

c)

d)

148.

Find the graph of the equation $r=7\cos4\theta$

a)

b)

c)

d)

149.

Find the graph of the equation $r=8\sin\theta$

a)

b)

c)

d)

150.

Find the graph of the equation $r=2\sin3\theta$

a)

b)

c)

d)

151.

What is the equation?

a)

r = 4

b)

r = 8

c)

r = 4sin(Θ)

d)

r = 8sin(Θ)

152.

What is the equation?

a)

r = 4sin(Θ)

b)

r = -2sin(Θ)

c)

r = 2cos(Θ)

d)

r = -4cos(Θ)

153.

The graph of r = 3 - 5cos(Θ) is a limacon with an inner loop. What is the diameter of the outer and inner loops?

a)

Outer Loop: 8, Inner Loop: 2

b)

Outer Loop: 4, Inner Loop: 1

c)

Outer Loop: 16, Inner Loop: 4

d)

Outer Loop: 15, Inner Loop: 2

154.

What kind of graph will you get from r = 2 + 6cos(Θ)?

a)

A limacon with an inner loop

b)

A dimpled limacon

c)

A cardiod (heart)

d)

A circle

155.

What kind of graph will you get from the equation r = 6 + 2cos(Θ)?

a)

A limacon with an inner loop

b)

A dimpled limacon

c)

A cardiod

d)

A line

156.

What kind of graph will you get from the equation r = 2 + 2cos(Θ)?

a)

A limacon with an inner loop

b)

A dimpled limacon

c)

A cardiod

d)

A flower

157.

What is the difference between the polar graphs of r = 2 + 6cos(Θ) and

r = 2 - 6cos(Θ)?

a)

Both are on the x-axis, but one faces right while the other faces left

b)

Both are on the y-axis, but one faces up while the other faces down

c)

One is on the x-axis while the other is on the y-axis

d)

They are the same!

158.

This particular equation generates what graph

a)

b)

c)

d)

159.

Which equation represents the polar graph?

a)

r = sin 4θ

b)

r = 6 sin 2θ

c)

r = 6 cos 4θ

d)

r = cos 4θ

160.

Choose a correct equation for this rose curve.

a)

r = sin(7θ)

b)

r = 7sin(2θ)

c)

r = 2sin(7θ)

d)

r = 2sin(14θ)

161.

Identify the polar equation:

r = 4sin(5θ)

a)

rose

b)

lemniscate

c)

spiral

d)

circle

162.

Identify the polar equation:

r² = 9cos(2θ)

a)

lemniscate

b)

limacon with inner loop

c)

cardioid

d)

rose

163.

Which equation represents the polar graph?

a)

r = 6 + 6 sin θ

b)

r = 12 sin θ

c)

r = 4 - 3 sin θ

d)

r = 4 + 5 sin θ

164.

Describe the curve

a)

Cardioid

b)

Circle

c)

Inner loop limacon

d)

Rose with 6 leaves

165.

The following equation would graph what shape?

a)

3 leaf rose

b)

6 leaf rose

c)

2 leaf rose

d)

4 leaf rose

166.

Determine the polar equation of the given graph.

a)

r² = -9sin(2θ)

b)

r² = 9cos(2θ)

c)

r² = -9cos(2θ)

d)

r² = 9sin(2θ)

167.

Describe the curve

a)

Rose with 4 leaves

b)

Rose with 8 leaves

c)

Cardioid

d)

Inner loop limacon

168.

Describe the curve

a)

Rose with 3 leaves

b)

Rose with 6 leaves

c)

Inner loop limacon

d)

Circle

169.

Describe the curve

a)

Rose with 3 leaves

b)

Circle

c)

Cardioid

d)

Inner loop limacon

170.

Describe the curve

a)

Circle

b)

Rose with 6 leaves

c)

Rose with 12 leaves

d)

Inner loop limacon

171.

Describe the curve

a)

Circle

b)

Cardioid

c)

Rose with 5 leaves

d)

Rose with 9 leaves

172.

The graph is an example of

a)

Spiral of Archimedes

b)

Logarithmic Spiral

c)

Spiral of Antiquity

d)

Limax Spiral

173.

Write the equation of a limacon with an inner loop of length 3 and an outer loop of length 7, symmetric to the y axis.

a)

r = 2 + 5sin(θ)

b)

r = 3 + 7sin(θ)

c)

r = 2 - 5cos(θ)

d)

r = 3 - 7cos(θ)

174.

Identify the polar equation:

r = 2θ

a)

spiral

b)

rose

c)

cardioid

d)

lemniscate

175.

What is the equation for this graph?

a)

r² = 9cos2θ

b)

r² = 9sin2θ

c)

r² = 3cosθ

d)

r² = 3sinθ

176.

What is the equation for this graph?

a)

$r=2+2\cos\theta$

b)

$r=4+4\cos\theta$

c)

$r=2+2\sin\theta$

d)

$r=3+1\cos\theta$

e)

$r=2-2\cos\theta$

177.

What is the equation for this graph?

a)

$r=3-3\sin\theta$

b)

$r=3-3\cos\theta$

c)

$r=6-6\sin\theta$

d)

$r=6-6\cos\theta$

e)

$r=6\sin\theta$

178.

What is the equation for this graph?

a)

$r=3+2\sin\theta$

b)

$r=2+3\sin\theta$

c)

$r=3+2\cos\theta$

d)

$r=3-2\sin\theta$

e)

$r=5+5\cos\theta$

179.

What is the equation for this graph?

a)

$r=2-6\sin\theta$

b)

$r=6-2\cos\theta$

c)

$r=6-2\sin\theta$

d)

$r=2-6\cos\theta$

e)

$r=6\cos\left(-2\theta\right)$

180.

What is the equation for this graph?

a)

$r=3+5\sin\theta$

b)

$r=3+5\cos\theta$

c)

$r=5+3\sin\theta$

d)

$r=5+3\cos\theta$

e)

$r=3-5\cos\theta$

181.

What is the equation for this graph?

a)

$r=2\sin7\theta$

b)

$r=7\sin2\theta$

c)

$r=2\cos7\theta$

d)

$r=7\cos2\theta$

e)

$r=2+7\cos\theta$

182.

What is the equation for this graph?

a)

$r^2=16\cos2\theta$

b)

$r^2=16\sin2\theta$

c)

$r=4\cos2\theta$

d)

$r=4\sin2\theta$

e)

$r^2=4\sin2\theta$

183.

What is the equation for this graph?

a)

$r=\theta$

b)

$r=2\theta$

c)

$r=1$

d)

$r=-\theta$

e)

$r=-2\theta$

184.

What is the equation for this graph?

a)

$r=\theta$

b)

$r=5\cos\theta$

c)

$r=5$

d)

$r=\theta+5$

e)

$\theta=5$

185.

What type of polar equation is graphed?

a)

Lemniscate

b)

Cardioid

c)

Limacon

d)

Rose

e)

Spiral

186.

What type of graph would this following equation make?
$r=3\theta+1$

a)

Spiral

b)

Line

c)

Circle

d)

Rose

e)

Cardioid

187.

What type of graph would this polar equation make?
$r^2=25\cos\left(2\theta\right)$

a)

Lemniscate

b)

Spiral

c)

Rose

d)

Limacon

e)

Circle

188.

$r=10\sin\left(5\theta\right)$ What type of graph would this polar equation make?

a)

Rose

b)

Lemniscate

c)

Spiral

d)

Circle

e)

Line

189.

What type of graph would this polar equation make?

$r=8-5\sin\theta$

a)

Limacon with an inner loop

b)

Limacon without an inner loop

c)

Lemniscate

d)

Rose

e)

Cardioid

190.

What type of graph would this polar equation make?
$r=9\sin\theta$

a)

Line

b)

Circle

c)

Cardioid

d)

Rose

e)

Spiral

191.

What type of graph would this polar equation make?
$r\sin\theta=7$

a)

Line

b)

Circle

c)

Cardioid

d)

Rose

e)

Spiral

192.

Describe the curve

a)

Rose with 3 leaves

b)

Rose with 6 leaves

c)

Inner loop limacon

d)

Circle

193.

Describe the curve

a)

Rose with 3 leaves

b)

Circle

c)

Cardioid

d)

Inner loop limacon

194.

Describe the curve

a)

Circle

b)

Rose with 6 leaves

c)

Rose with 12 leaves

d)

Inner loop limacon

195.

Write the equation of a limacon with an inner loop of length 3 and an outer loop of length 7, symmetric to the y axis.

a)

r = 2 + 5sin(θ)

b)

r = 3 + 7sin(θ)

c)

r = 2 - 5cos(θ)

d)

r = 3 - 7cos(θ)

196.

What is the equation for this graph?

a)

$r=2+2\cos\theta$

b)

$r=4+4\cos\theta$

c)

$r=2+2\sin\theta$

d)

$r=3+1\cos\theta$

e)

$r=2-2\cos\theta$

197.

What is the equation for this graph?

a)

$r=3-3\sin\theta$

b)

$r=3-3\cos\theta$

c)

$r=6-6\sin\theta$

d)

$r=6-6\cos\theta$

e)

$r=6\sin\theta$

198.

What is the equation for this graph?

a)

$r=3+2\sin\theta$

b)

$r=2+3\sin\theta$

c)

$r=3+2\cos\theta$

d)

$r=3-2\sin\theta$

e)

$r=5+5\cos\theta$

199.

What is the equation for this graph?

a)

$r=2-6\sin\theta$

b)

$r=6-2\cos\theta$

c)

$r=6-2\sin\theta$

d)

$r=2-6\cos\theta$

e)

$r=6\cos\left(-2\theta\right)$

200.

What is the equation for this graph?

a)

$r=2\sin7\theta$

b)

$r=7\sin2\theta$

c)

$r=2\cos7\theta$

d)

$r=7\cos2\theta$

e)

$r=2+7\cos\theta$

201.

What is the equation for this graph?

a)

$r^2=16\cos2\theta$

b)

$r^2=16\sin2\theta$

c)

$r=4\cos2\theta$

d)

$r=4\sin2\theta$

e)

$r^2=4\sin2\theta$

202.

What is the equation for this graph?

a)

$r=\theta$

b)

$r=2\theta$

c)

$r=1$

d)

$r=-\theta$

e)

$r=-2\theta$

203.

What is the equation for this graph?

a)

$r=\theta$

b)

$r=5\cos\theta$

c)

$r=5$

d)

$r=\theta+5$

e)

$\theta=5$

204.

What type of graph would this following equation make?
$r=3\theta+1$

a)

Spiral

b)

Line

c)

Circle

d)

Rose

e)

Cardioid

205.

What type of graph would this polar equation make?
$r^2=25\cos\left(2\theta\right)$

a)

Lemniscate

b)

Spiral

c)

Rose

d)

Limacon

e)

Circle

206.

$r=10\sin\left(5\theta\right)$ What type of graph would this polar equation make?

a)

Rose

b)

Lemniscate

c)

Spiral

d)

Circle

e)

Line

207.

What type of graph would this polar equation make?

$r=8-5\sin\theta$

a)

Limacon with an inner loop

b)

Limacon without an inner loop

c)

Lemniscate

d)

Rose

e)

Cardioid

208.

What type of graph would this polar equation make?
$r=9\sin\theta$

a)

Line

b)

Circle

c)

Cardioid

d)

Rose

e)

Spiral

209.

What type of graph would this polar equation make?
$r\sin\theta=7$

a)

Line

b)

Circle

c)

Cardioid

d)

Rose

e)

Spiral

210.

Which equation represents the graph?

a)

$r=9-\cos\theta$

b)

$r=2-8\cos\theta$

c)

$r=3+7\sin\theta$

d)

$r=4-6\cos\theta$

211.

The graph shown here is $r=5+b\sin\theta$ . What is the value of b?

(a)

212.

The function $r=a+7\cos\theta$ is shown here. What is the value of a?

(a)

213.

What is the polar equation of the graph shown here?

a)

r = 4

b)

$r=4\theta$

c)

$\theta=4$

d)

$\theta=\frac{\pi}{4}$

214.

The polar function $\theta=\frac{\pi}{6}$ is equivalent to the rectangular equation...

a)

$y=x$

b)

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

c)

$\left(x-1\right)^2+\left(y+1\right)^2=1$

d)

$x=0$

215.

The polar equation $r=3-9\cos\theta$ is symmetrical about the ...

a)

x-axis

b)

y=axis

c)

origin

216.

The polar equation $r=3+3\cos\theta$ is symmetrical about the ...

a)

x-axis

b)

y=axis

c)

origin

217.

The polar equation $r=3-\sin\theta$ is symmetrical about the ...

a)

x-axis

b)

y=axis

c)

origin

218.

What makes $r=a-b\cos\theta$ a cardioid limacon?

a)

when $a\ge2b$

b)

when a > b

c)

when a = b

d)

when b < a < 2b

219.

What is the equation of the graph shown?

a)

$r=71-9\sin\theta$

b)

$r=24-55\sin\theta$

c)

$r=30+50\sin\theta$

d)

$r=50-31\sin\theta$

220.

Which of the following equations is a cardioid limacon?

a)

$r=4-4\cos\theta$

b)

$r=3+7\sin\theta$

c)

$r=3-2\sin\theta$

d)

$r=1-2\cos\theta$

221.

Which of the following equations is an inner loop limacon?

a)

$r=4-4\cos\theta$

b)

$r=3+7\sin\theta$

c)

$r=3-2\sin\theta$

d)

$r=1-\cos\theta$

222.

Which of the following is a polar ordered pair of the function $r=3+20\cos\theta$ ?

a)

$\left(13,\pi\right)$

b)

$\left(13,\frac{\pi}{3}\right)$

c)

$\left(23,\pi\right)$

d)

$\left(17,0\right)$

223.

Which of the following is a polar ordered pair of the function $r=10-10\sin\theta$ ?

a)

$\left(5,\frac{\pi}{6}\right)$

b)

$\left(20,\frac{\pi}{2}\right)$

c)

$\left(5,\frac{3\pi}{2}\right)$

d)

$\left(0,0\right)$

224.

Which of the following is NOT a polar ordered pair of the function $r=4-9\sin\theta$ ?

a)

$\left(-0.5,\frac{\pi}{6}\right)$

b)

$\left(4,\pi\right)$

c)

$\left(-5,\frac{3\pi}{2}\right)$

d)

$\left(4,0\right)$

225.

What is the equation?

a)

r = 4sin(Θ)

b)

r = -2sin(Θ)

c)

r = 2cos(Θ)

d)

r = -4cos(Θ)

226.

This particular equation generates what graph

a)

b)

c)

d)

227.

Which equation represents the polar graph?

a)

r = sin 4θ

b)

r = 6 sin 2θ

c)

r = 6 cos 4θ

d)

r = cos 4θ

228.

Which equation represents the polar graph?

a)

r = 6 + 6 sin θ

b)

r = 12 sin θ

c)

r = 4 - 3 sin θ

d)

r = 4 + 5 sin θ

229.

Which equation below generates this particular graph?

a)

b)

c)

d)

230.

Determine the polar equation of the given graph.

a)

r² = -9sin(2θ)

b)

r² = 9cos(2θ)

c)

r² = -9cos(2θ)

d)

r² = 9sin(2θ)

231.

Describe the curve

a)

Rose with 3 leaves

b)

Circle

c)

Cardioid

d)

Inner loop limacon

232.

What kind of graph will you get from the equation r = 6 + 2cos(Θ)?

a)

A limacon with an inner loop

b)

A Rose one loop

c)

A cardiod

d)

A convex limacon (bean)

233.

The graph of r = 3 - 5cos(Θ) is a limacon with an inner loop. What is the diameter of the outer and inner loops?

a)

Outer Loop: 8, Inner Loop: 2

b)

Outer Loop: 6, Inner Loop: 3

c)

Outer Loop: 5, Inner Loop: 3

d)

Outer Loop: 15, Inner Loop: 2

234.

Which equation represents the polar graph?

a)

r = sin 4θ

b)

r = 6 sin 2θ

c)

r = 6 cos 4θ

d)

r = cos 4θ

235.

Write the equation of the polar graph in polar form.

a)

r = 3cos(θ)

b)

r = -3cos(θ)

c)

r = 3sin(θ)

d)

r = -3sin(θ)

236.

Choose a correct equation for the red circle.

a)

r = -3

b)

r = -3sinΘ

c)

r = -3cosΘ

d)

x² + y² = 3

237.

Choose a correct equation for the blue circle.

a)

r = 2

b)

r = 4

c)

r = 2sinΘ

d)

x² + y² = 2

238.

Choose a correct equation for this rose curve.

a)

r = sin(7θ)

b)

r = 7sin(2θ)

c)

r = 2sin(7θ)

d)

r = 2sin(14θ)

239.

What is the function of the graph?

a)

r=3

b)

r=3sinΘ

c)

r=3sinΘ+3cosΘ

d)

r=3cosΘ

240.

What are the coordinates of the center and radius of the circle whose equation is r = - 8sinθ

a)

center ( 0, 0) and r = 4

b)

center ( - 4, 0 ) and r = 4

c)

center ( 0, 4) and r = 4

d)

center ( 0, - 4) and r = 4

241.

Which one of the following is an equation for r = 4cosθ

a)

x² + y² = 16

b)

(x + 2)² + y² = 4

c)

(x - 2)² + y² = 4

d)

x² + ( y - 2 )² = 4

242.

Which point is at the same location as point P $\left(-6,\ -30\degree\right)?$

a)

$\left(6,\ 30\degree\right)$

b)

$\left(-6,\ -390\degree\right)$

c)

$\left(6,\ -30\degree\right)$

d)

$\left(-6,\ 150\degree\right)$

243.

Which point is at the same location as point A (7, $\frac{4\pi}{3}$ ) ?

a)

( 7, $\frac{\pi}{3}$ )

b)

( -7, undefined)

c)

( -7, $-\frac{\pi}{3}$ )

d)

( 7, - $\frac{\pi}{3}$ )

244.

Which polar point with $r\ge0\ and\ 0\le\theta\le2\pi$ is equivalent to the rectangular point ( 4, - 4 )?

a)

$\left(4\sqrt{2},\ \frac{7\pi}{4}\right)$

b)

$\left(4\sqrt{2},\ \frac{3\pi}{4}\right)$

c)

$\left(-4\sqrt{2},\ \frac{7\pi}{4}\right)$

d)

$\left(-4\sqrt{2},\frac{3\pi}{4}\right)$

245.

What are the polar coordinates with $r\le0\ and\ 0\le\theta\le360\degree$ for the rectangular point P ( 0, - 23 ) ?

a)

$\left(-23,\ 180\degree\right)$

b)

$\left(-23,\ 270\degree\right)$

c)

$\left(-23,\ -90\degree\right)$

d)

$\left(-23,\ 90\degree\right)$

KCain Unit 12 Polar Super Quizziz review

Total questions: 245

Worksheet time: 13hrs 45mins

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