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.
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10 lines of symmetry
2 lines of symmetry
There are infinitely many lines of symmetry. Every line can be a line of symmetry for a suitable shape.
A TRAPIZOID has 2 lines of symmetry
There are eight lines of symmetry.