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First of all to correct your spelling. It is 'parallelogram'. A parallelogram does NOT have any lines of symmetry, unless it is a rectangular paralleligram. Where upon it has two lines of symmetry, viz/ a vertical line through the centre and an horizontal line through the centre.
Normally none unless it in the shape of a rectangle which has 2 lines of symmetry
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Some people say a parallelogram does have a line of symmetry because it looks like a rhombus but the truth is that a parallelogram does not have a line of symmetry because if you take paper and fold it in any way in a shape of a parallelogram so a parallelogram does not have a line of symmetry
parallelogram