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 axes in a coordinate plane?

Back

The axes are the two perpendicular lines that define the coordinate plane: the x-axis (horizontal) and the y-axis (vertical).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on the coordinate plane, written in the form (x, y).

Front

What does the first number in an ordered pair represent?

Back

The first number in an ordered pair represents the x-coordinate, which indicates the horizontal position of the point.

Front

What does the second number in an ordered pair represent?

Back

The second number in an ordered pair represents the y-coordinate, which indicates the vertical position of the point.

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 find the distance between two points on a coordinate plane?

Back

To find the distance between two points (x1, y1) and (x2, y2), use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the quadrant system in a coordinate plane?

Back

The quadrant system divides the coordinate plane into four sections (quadrants) based on the signs of the x and y coordinates.

Front

What are the coordinates of points in Quadrant I?

Back

In Quadrant I, both x and y coordinates are positive, so points have coordinates of the form (x, y) where x > 0 and y > 0.

Front

What are the coordinates of points in Quadrant II?

Back

In Quadrant II, the x coordinates are negative and the y coordinates are positive, so points have coordinates of the form (x, y) where x < 0 and y > 0.