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Geometry Notes #: Section 6.9: Proofs using Coordinate Geometry Objective: Example 1) Use coordinate geometry to prove that the midpoint of Example 2) Use coordinate geometry to prove that the diagonals of a the hypotenuse of a right triangle is equidistant from the 3 vertices. rhombus are perpendicular. (Write a coordinate proof) (Write a coordinate proof) Coordinate Proof: By the Midpoint Formula: By the Distance Formula: OM= FM= EM= Explain why EM=FM=OM Additional Notes: Conclusion: Got It? What is the advantage of using coordinates O(0,0), E(0, 2b), F(2a,0) rather than O(0,0), E(0, b), F(a,0)?
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