a parallelogram with four equal sides must be a square. therefore, a line can be drawn diagonally (crossing through the middle, and touching the corners) on the upper left to the lower right, and from upper right to lower left. Also, a line can be drawn vertically and horizontally in the exact middle. that makes 4 lines of symmetry.
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The shape has to be a parallelogram since it has no lines of symmetry and all sides are equal and parallel
A parallelogram.
Parallelogram
A parallelogram need have no lines of symmetry.
This is a parallelogram.