why parallelogram does not have any line of symmetry?

A general parallelogram(which is not a rhombus or a square or a rectangle) does not have any line of symmetry because when it is folded along any line, the two halves will not overlap to each other.

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Its parallelogram  theory.

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A parallelogram have not any life of symmetry because it did not have any axis of symmetry. 

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because it has not erect shape and not axis of symetry

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