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 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

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.

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.

Front

How do you identify a point on the coordinate plane?

Back

To identify 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 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 positive, y positive), Quadrant II (x negative, y positive), Quadrant III (x negative, y negative), Quadrant IV (x positive, y negative).

Front

What is the significance of the signs of coordinates?

Back

The signs of coordinates indicate the location of a point in relation to the axes: positive or negative x and y values determine which quadrant the point is in.

Front

What is the distance between two points on a coordinate plane?

Back

The distance between two points (x1, y1) and (x2, y2) can be calculated using the distance formula: √((x2 - x1)² + (y2 - y1)²).