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Math Help - Coordinate Geometry Proofs

  1. #1
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    Coordinate Geometry Proofs

    Given:
    A(2,2), B(6,5), C(4,0), D(4,3)

    Prove:
    ABCD is a parallelogram but not a rectangle.
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  2. #2
    Moo
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    Quote Originally Posted by magentarita View Post
    Given:
    A(2,2), B(6,5), C(4,0), D(4,3)

    Prove:
    ABCD is a parallelogram but not a rectangle.
    ABCD is a parallelogram --->
    1. lengths AB=CD
    2. lengths AD=BC

    Or in terms of vectors :
    \overrightarrow{AB}=\overrightarrow{DC}

    A sketch can make you understand why I chose these letters.
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  3. #3
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    Good tip...

    Quote Originally Posted by Moo View Post
    ABCD is a parallelogram --->
    1. lengths AB=CD
    2. lengths AD=BC

    Or in terms of vectors :
    \overrightarrow{AB}=\overrightarrow{DC}

    A sketch can make you understand why I chose these letters.
    Thanks for the tip.
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