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Math Help - is a parallelogram a rhombus?

  1. #1
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    Question is a parallelogram a rhombus?

    Okay, I know that a rhombus is a parallelogram because it shares all of the same properties. BUT is a parallelogram a rhombus?

    I would say no because in order for a parallelogram to be a rhombus wouldn't it have to have those extra properties like diagonals bisect at right angles and all sides equal???

    I'm just confused because some sites are saying it is, and others are saying it isn't.

    So any help would be great. Thanks
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  2. #2
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    No, it is not. A rhombus requires that all sides are of equal length, which is not a requirement for a parallelogram.
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  3. #3
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    Quote Originally Posted by Astar View Post
    Okay, I know that a rhombus is a parallelogram because it shares all of the same properties. BUT is a parallelogram a rhombus?

    I would say no because in order for a parallelogram to be a rhombus wouldn't it have to have those extra properties like diagonals bisect at right angles and all sides equal???

    I'm just confused because some sites are saying it is, and others are saying it isn't.

    So any help would be great. Thanks
    For a complete overview about quadrilaterals look here: Quadrilaterals - Square, Rectangle, Rhombus, Trapezoid, Parallelogram

    Scroll down a little bit to the family of quadrilaterals.
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