Coordinate Plane - Polygon

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).

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, written in the form (x, y), where 'x' is the horizontal position and 'y' is the vertical position.

Three points form a triangle if they are not all on the same line (collinear). The points must create three sides.

A right triangle is a triangle that has one angle measuring 90 degrees.

To determine if three points form a right triangle, check if the square of the length of the longest side equals the sum of the squares of the other two sides (Pythagorean theorem).

A rectangle is a four-sided polygon (quadrilateral) with opposite sides that are equal in length and all angles measuring 90 degrees.

The area of a rectangle is found by multiplying its length by its width (Area = length × width).

The coordinates of the origin are (0, 0). It is the point where the x-axis and y-axis intersect.

The x-axis is the horizontal line on a coordinate plane where the y-coordinate is zero.

The y-axis is the vertical line on a coordinate plane where the x-coordinate is zero.