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Math Help - Geometry help

  1. #1
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    Geometry help

    The diagonals AC and BD of quadrilateral ABCD intersect at O. Given the information
    AO = BO and CO = DO, what can you deduce about the lengths of the sides of
    the quadrilateral? Prove your response.

    I need to write a 2 column proof for this and I'm having some difficulties.
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  2. #2
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    Re: Geometry help

    Quote Originally Posted by tpask1998 View Post
    The diagonals AC and BD of quadrilateral ABCD intersect at O. Given the information
    AO = BO and CO = DO, what can you deduce about the lengths of the sides of
    the quadrilateral? Prove your response.

    I need to write a 2 column proof for this and I'm having some difficulties.
    Well why not try one on your own.
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  3. #3
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    Re: Geometry help

    Hello, tpask1998!

    The diagonals AC and BD of quadrilateral ABCD intersect at O.
    Given AO = BO and CO = DO,
    what can you deduce about the lengths of the sides of the quadrilateral?
    Prove your response.
    I know very little about the lengths of the sides.


    We have an isosceles trapezoid.
    Hence: , AD = BC,\;AB \parallel CD.

    Code:
                A o-------o B
                 /  *   *  \
                /     *     \
               /    * O *    \
              /   *       *   \
             /  *           *  \
            / *               * \
           /*                   *\
        D o-----------------------o C
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