Coordinate Plane

Front

What is the coordinate plane?

Back

A two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis), used to locate points using ordered pairs.

Front

What are the four quadrants of the coordinate plane?

Back

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 coordinates?

Back

Ordered pairs (x, y) that define the position of a point on the coordinate plane.

Front

How do you identify the quadrant of a point?

Back

By examining the signs of the x and y coordinates: positive x and y is Quadrant I, negative x and positive y is Quadrant II, negative x and y is Quadrant III, positive x and negative y is Quadrant IV.

Front

What is the distance formula?

Back

The distance between two points (x1, y1) and (x2, y2) is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the midpoint formula?

Back

The midpoint between two points (x1, y1) and (x2, y2) is given by: M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What does the x-axis represent?

Back

The horizontal line in the coordinate plane where y = 0.

Front

What does the y-axis represent?

Back

The vertical line in the coordinate plane where x = 0.

Front

How do you plot a point on the coordinate plane?

Back

Start at the origin (0,0), move along the x-axis to the x-coordinate, then move vertically to the y-coordinate.

Front

What is the origin in the coordinate plane?

Back

The point (0, 0) where the x-axis and y-axis intersect.