They are both quadrilaterals.
The both have interior angle of 360 degrees.
A rhombus is to a skewed square as a parallelogram is to a skewed rectangle.
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If I understand the question right I think it's a rhombus or diamond?
Parallelagram, Rhombus, Square, or Rectangle are the ones with congruent sides. There are also shapes like Trapezoids that do not have equal sides.
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
ggyyg
If the rhombus is a square, it has 4 right angles. otherwise, no.