Geometry 4.8, Coordinate Proof & figures in the Coordinate Plane

An explanation of how coordinate geometry can be used to prove conjectures, and how a coordinate proof is a style of proof that uses coordinate geometry and algebra. We discuss strategies for positioning figures in the coordinate plane that use the origin or quadrant 1. We write a coordinate proof using coordinate geometry showing that a triangle is half the area of another triangle, and we use a coordinate proof to prove that is statement is true for all right triangles without knowing their side lengths by using variables as the coordinates of the vertices. We go over the midpoint formula with examples.

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