Coordinate Plane

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). It is used to locate points using ordered pairs (x, y).

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 the coordinates of a point in Quadrant I?

Back

In Quadrant I, both x and y coordinates are positive. For example, (3, 4) is in Quadrant I.

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. For example, (-2, 5) is in Quadrant II.

Front

What are the coordinates of a point in Quadrant III?

Back

In Quadrant III, both x and y coordinates are negative. For example, (-3, -4) is in Quadrant III.

Front

What are the coordinates of a point in Quadrant IV?

Back

In Quadrant IV, the x coordinate is positive and the y coordinate is negative. For example, (4, -2) is in Quadrant IV.

Front

What is the x-axis?

Back

The x-axis is the horizontal line on a coordinate plane where the y-coordinate is zero. Points on the x-axis have the form (x, 0).

Front

What is the y-axis?

Back

The y-axis is the vertical line on a coordinate plane where the x-coordinate is zero. Points on the y-axis have the form (0, y).

Front

What is the origin in a coordinate plane?

Back

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

Front

How do you identify the quadrant of a point with coordinates (x, y)?

Back

To identify the quadrant, check the signs of x and y: Quadrant I (x > 0, y > 0), Quadrant II (x < 0, y > 0), Quadrant III (x < 0, y < 0), Quadrant IV (x > 0, y < 0).