Polar Graphs Worksheet
Explore the fundamentals of polar coordinates and graphing polar equations with this comprehensive Grade 9 worksheet covering plotting points, converting coordinates, and identifying basic polar curves.
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Polar Graphs Exploration
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Date:
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. Which of the following represents a polar coordinate?
(x, y)
(r, θ)
[x, y]
{r, θ}
2. What is the Cartesian equivalent of the polar coordinate (2, π/2)?
(2, 0)
(0, 2)
(2, 2)
(√2, √2)
1. In polar coordinates, 'r' represents the from the origin.
2. The angle 'θ' in polar coordinates is measured counterclockwise from the positive axis.
1. Plot the polar point (3, 3π/4) on a polar grid.
2. Convert the Cartesian coordinate (-1, 1) to polar coordinates.
1. The origin in a polar coordinate system is also known as the pole.
True
False
2. A negative 'r' value in polar coordinates means the point is plotted in the opposite direction of the angle.
True
False
Match the polar equation with its corresponding curve type.
1. r = 3
a. Cardioid
2. r = 2 + 2cosθ
b. Circle
3. r = 4sin(2θ)
c. Rose Curve