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). Each point on the plane is defined by an ordered pair of numbers (x, y).

Front

What are the axes in a coordinate plane?

Back

The axes are the two perpendicular lines that define the coordinate plane: the horizontal line is called the x-axis, and the vertical line is called the y-axis.

Front

What does an ordered pair represent?

Back

An ordered pair (x, y) represents a specific point on the coordinate plane, where 'x' is the horizontal position and 'y' is the vertical position.

Front

How do you identify the coordinates of a point?

Back

To identify the coordinates of a point, find its position along the x-axis (horizontal) and y-axis (vertical) and express it as an ordered pair (x, y).

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 coordinates (0, 0).

Front

How do you find the distance between two points on a coordinate plane?

Back

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

Front

What is the first quadrant in a coordinate plane?

Back

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

Front

What are the coordinates of a point in the second quadrant?

Back

In the second quadrant, the x-coordinates are negative and the y-coordinates are positive.

Front

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

Back

A rectangle is a four-sided shape (quadrilateral) with opposite sides equal and parallel, which can be defined by four points (vertices) on the coordinate plane.

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 if the angles between the sides are right angles (90 degrees).