Normally none unless it's in the shape of a rhombus which has 2 lines of symmetry.
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It have 4 axis of symmetry . Two Perpendiculars and two Diagonals
2 lines of symmetry
A nephroid has 2 lines of symmetry.
A parallelagram can be a square, which has four lines of symmetry or a rectangle which has two lines of symmetry but the generic parallelagram has zero lines of symmetry
5 lines