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  1. MHB Apprentice

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    Hi, I'm stuck on this problem and would like some help.

    The purpose of this exercise is to prove the Nine-Point Circle Theorem. Let triangleABC be
    a Euclidean triangle and let points D, E, F, L, M, N, and H be as in Figure 8.46. Let γ
    be the circumscribed circle for triangleDEF.

    a) Prove that quadrilateralEDBF is a parallelogram. Prove that DB=DN. Use a symmetry
    argument to show that N lies on γ. Prove, in a similar way, that L and M lie on γ.

    I have attached on how the picture looks like.
    Last edited by pholee95; November 15th, 2016 at 11:57.

  2. Perseverance
    MHB Global Moderator
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    greg1313's Avatar
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    London, Ontario, Canada - The Forest City
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    In general EDBF is not a parallelogram. You need to be given some extra information about the circle. One may expect that this information would be that points L, M and N are on the circle but you're expected to prove that they are in a subsequent part of the exercise. This leads me to ask if you've typed the problem accurately.

    If you have a point of clarification, that's good, but please post some work and/or thoughts on how to approach the problem as well.

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