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Math Help - Quadrilateral, Intersecting Diagonals

  1. #1
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    Quadrilateral, Intersecting Diagonals

    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 have deduced and proved that one pair of opposite sides is congruent and the other pair of opposite sides is parallel. Is there anything else that can be deduced/proved?

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    Quote Originally Posted by thamathkid1729 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 have deduced and proved that one pair of opposite sides is congruent and the other pair of opposite sides is parallel. Is there anything else that can be deduced/proved?

    the quadrilateral is an isosceles trapezoid ...
    Attached Thumbnails Attached Thumbnails Quadrilateral, Intersecting Diagonals-trapproof.jpg  
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  3. #3
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    It could also be a rectangle


    bjh
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