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How can you use the Cartesian plane for algebraic proofs?

Objectives

Students will:

  1. Prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle.
  2. Prove or disprove that the point (1,3) lies on the circle centered at the origin and containing the point (0,2).

Skills Needed

Students must be able to:

  1. Knowledge of Cartesian coordinate plane
  2. Understand theorems and postulates pertaining to quadrilaterals.
  3. Know special quadrilaterals and their properties.
  4. Understand how to apply the distance formula.