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Is the quadrilateral a parallelogram or not and if it is please give a definition that justifies the answer: picture link below
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A quadrilateral has to meet certain criteria in order to prove that it is in fact a parallelogram.
One of the properties that renders this quadrilateral a parallelogram is the given information. We are given that one pair of sides is parallel. We are further given that the same sides are equal in length (2 in). Therefore this quadrilateral meets the definition of a quadrilateral.
Ans: Yes it is a parallelogram -
If one pair of sides of a quadrilateral are parallel AND equal in length, then the quadrilateral IS a parallelogram.
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