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Thread: Geometric Proofs

  1. #1
    Senior Member harpazo's Avatar
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    Geometric Proofs

    I was placed in modified math classes throughout most of the high school years based on my poor academic background. I will not go into detail here. Based on this situation, I never took regular math classes in high school. Thus, I never learned direct and indirect geometric proofs using the Statement versus Reason chart. Does any here know the best way to learn geometric proofs at the high school level? I graduated from high school in 1984. By graduated I mean, I was promoted from grade to grade without having earned the promotion, which is very common in NYC public schools.
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  2. #2
    Senior Member harpazo's Avatar
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    Re: Geometric Proofs

    I found this online:

    direct proof: go from assumptions to conclusion.

    indirect proof: assume the opposite, derive a contradiction


    ΔABC, ΔDEF
    len(AB) = len(DE)
    m(∠B) = m(∠E)
    len(BC) = len(EF)

    prove len(AC) = len(DF)

    2 column proof
    statement | reason
    len(AB) = len(DE) | given
    m(∠B) = m(∠E) | given
    len(BC) = len(EF) | given

    ΔABC≅ΔDEF | congruent by SAS
    {side angle side}

    len(AC) = len(DF) | CPCT
    {corresponding parts of congruent triangles (are congruent)}

    QED

    It makes zero sense to me.
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