prove how an parallelogram have to be a rombus in brief?
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prove the adjacent sides of the parallelogram equal. By this all the sides will be equal since opposite side of a paralleogram are equal. thus with all the 4 sides equal it is a rhombus.
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Proof that a rhombus is a parallelogram
, all 4 sides are congruent (definition of a rhombus). . The same can be done for the other two sides, and know we know that opposite sides are parallel. Therefore, a rhombus is a parallelogram.
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