Coordinate Plane

Front

What is the definition of a coordinate plane?

Back

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

Front

What are the four quadrants of a coordinate plane?

Back

The four quadrants are: I (x positive, y positive), II (x negative, y positive), III (x negative, y negative), IV (x positive, y negative).

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 x-axis represent?

Back

The x-axis represents the horizontal number line on the coordinate plane.

Front

What does the y-axis represent?

Back

The y-axis represents the vertical number line on the coordinate plane.

Front

How do you determine the quadrant of a point?

Back

To determine the quadrant of a point, look at the signs of the x and y coordinates: (+,+) is Quadrant I, (-,+) is Quadrant II, (-,-) is Quadrant III, and (+,-) is Quadrant IV.

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

How do you calculate the distance between two points (x1, y1) and (x2, y2)?

Back

The distance is calculated using the formula: Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is the significance of the point (0,0)?

Back

The point (0,0) is called the origin and serves as the reference point for the coordinate plane.

Front

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

Back

The midpoint is found using the formula: Midpoint = ((x1 + x2)/2, (y1 + y2)/2).