Coordinate Planes and Quadrants

Front

What is a coordinate plane?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis).

Front

What are the four quadrants of a coordinate plane?

Back

The four quadrants are: Quadrant I (x > 0, y > 0), Quadrant II (x < 0, y > 0), Quadrant III (x < 0, y < 0), Quadrant IV (x > 0, y < 0).

Front

What are coordinates?

Back

Coordinates are a set of values that show an exact position on a coordinate plane, usually written as (x, y).

Front

What does the point (0, 0) represent?

Back

The point (0, 0) is called the origin, where the x-axis and y-axis intersect.

Front

How do you identify the quadrant of a point?

Back

To identify the quadrant, check the signs of the x and y coordinates: Quadrant I (both positive), Quadrant II (x negative, y positive), Quadrant III (both negative), Quadrant IV (x positive, y negative).

Front

What is the x-axis?

Back

The x-axis is the horizontal line on a coordinate plane where y = 0.

Front

What is the y-axis?

Back

The y-axis is the vertical line on a coordinate plane where x = 0.

Front

What are the coordinates of a point in Quadrant I?

Back

In Quadrant I, both coordinates are positive, e.g., (3, 4).

Front

What are the coordinates of a point in Quadrant II?

Back

In Quadrant II, the x-coordinate is negative and the y-coordinate is positive, e.g., (-3, 4).

Front

What are the coordinates of a point in Quadrant III?

Back

In Quadrant III, both coordinates are negative, e.g., (-3, -4).