Sec 6 9 Standard by HC121104002213

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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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