This course has introduced theorems as statements that need to be proven true.  One way to prove a statement true is to use a coordinate proof.  There are other ways that will be described later in this course.

A coordinate proof uses the coordinate plane and formulas to prove a statement true.   Examples of formulas used are distance, midpoint, slope, area, etc. depending on what is trying to be proven true.  For example, if trying to prove that a triangle is equilateral, then the distance formula would need to be used three times to show that all three sides have the same length.  A coordinate proof will provide a set of given conditions, and what is meant to be proven true.  The given conditions are usually the coordinates of the vertices of a geometric shape.