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A parallelogram does not have a line of symmetry.
Because linear symmetry defines a line such that the shape is unchanged when REFLECTED in that line.
The letters S and N have point symmetry but not line symmetry.
draw line of symmetry for 20
Shapes do not always have lines of symmetry. For example, if you have an irregular shape, it will not have a line of symmetry. I am quite certain though that all geometric shapes have a line of symmetry.