Diagonals of Parallelogram

Discussion in 'Geometry and Trigonometry' started by nycmathguy, Sep 30, 2021.

  1. nycmathguy

    nycmathguy

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    20210929_223721.jpg

    Can you set this up for me to do?
     
    nycmathguy, Sep 30, 2021
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  2. nycmathguy

    MathLover1

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    the diagonals intersect at a midpoint , name it M, use midpoint formula and show that is the midpoint of each diagonal has same coordinates
     
    MathLover1, Oct 1, 2021
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  3. nycmathguy

    nycmathguy

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    Let M_1 = first midpoint.

    Let M_2 = second midpoint

    I need to show that M_1 = M_2.

    M_1 = [(a + b)/2, (c + 0)/2)]

    M_1 = [(a+b)/2, c/2)]

    M_2 = [(a + b + 0)/2, (c + 0)/2]

    M_2 = [(a + b)/2, c/2)]

    So, M_1 = M_2.
     
    nycmathguy, Oct 1, 2021
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  4. nycmathguy

    MathLover1

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    perfect
     
    MathLover1, Oct 1, 2021
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  5. nycmathguy

    nycmathguy

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    I will begin to post Calculus 1 questions on limits this weekend, Lord willing. Look for calculus questions in the Calculus Forum.
     
    nycmathguy, Oct 1, 2021
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