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.

Front

What are the x-axis and y-axis?

Back

The x-axis is the horizontal line on a coordinate plane, while the y-axis is the vertical line. Together, they create four quadrants.

Front

What is an ordered pair?

Back

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

Front

How do you identify the coordinates of a point?

Back

To identify the coordinates of a point, look at its position relative to the x-axis (horizontal) and y-axis (vertical). The first number is the x-coordinate, and the second number is the y-coordinate.

Front

What does the point (3, 2) represent?

Back

The point (3, 2) represents a location on the coordinate plane where the x-coordinate is 3 and the y-coordinate is 2.

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 ordered pair (0, 0).

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

How do you plot a point on a coordinate plane?

Back

To plot a point, start at the origin (0, 0), move along the x-axis to the x-coordinate, and then move vertically to the y-coordinate.

Front

What is the relationship between the coordinates of a point and its position?

Back

The coordinates of a point determine its exact position on the coordinate plane, indicating how far to move along the x-axis and y-axis.

Front

What is the formula for finding the distance between two points (x1, y1) and (x2, y2)?

Back

The distance formula is: d = √((x2 - x1)² + (y2 - y1)²).