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 ordered pairs?

Back

Ordered pairs are pairs of numbers used to represent the position of a point on a coordinate plane, written in the form (x, y).

Front

What does the x-coordinate represent?

Back

The x-coordinate represents the horizontal position of a point on the coordinate plane, indicating how far to move left or right from the origin.

Front

What does the y-coordinate represent?

Back

The y-coordinate represents the vertical position of a point on the coordinate plane, indicating how far to move up or down from the origin.

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 plot a point on the coordinate plane?

Back

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

Front

What is the significance of the first quadrant in a coordinate plane?

Back

The first quadrant is where both x and y coordinates are positive, indicating points located in the upper right section of the coordinate plane.

Front

What is a rectangle in the context of a coordinate plane?

Back

A rectangle is a four-sided figure with opposite sides equal and parallel, which can be defined by the coordinates of its four corners.

Front

How can you determine if four points form a rectangle?

Back

To determine if four points form a rectangle, check if the opposite sides are equal in length and the angles between adjacent sides are right angles.

Front

What is the distance formula?

Back

The distance formula is used to calculate the distance between two points (x1, y1) and (x2, y2) on a coordinate plane: d = √((x2 - x1)² + (y2 - y1)²).