Rectangular and Polar Coordinates

Front

What are rectangular coordinates?

Back

Rectangular coordinates are a pair of numbers (x, y) that define a point's position in a two-dimensional space, where 'x' is the horizontal distance from the origin and 'y' is the vertical distance.

Front

What are polar coordinates?

Back

Polar coordinates are a pair of numbers (r, θ) that define a point's position in a two-dimensional space, where 'r' is the distance from the origin and 'θ' is the angle measured from the positive x-axis.

Front

How do you convert rectangular coordinates (x, y) to polar coordinates (r, θ)?

Back

Front

How do you convert polar coordinates (r, θ) to rectangular coordinates (x, y)?

Back

Front

What is the distance formula in rectangular coordinates?

Back

Front

What is the relationship between rectangular and polar coordinates?

Back

Front

What is the angle θ in polar coordinates?

Back

The angle θ is measured in degrees or radians from the positive x-axis to the line connecting the origin to the point.

Front

What is the significance of the radius r in polar coordinates?

Back

The radius r represents the straight-line distance from the origin to the point in the polar coordinate system.

Front

How do you find the coordinates of a point given r and θ?

Back

Front

What is the quadrant system in rectangular coordinates?

Back

The coordinate plane is divided into four quadrants: Quadrant I (x > 0, y > 0), Quadrant II (x < 0, y > 0), Quadrant III (x < 0, y < 0), Quadrant IV (x > 0, y < 0).