A kite has two pairs of equal sides with no parallel sides.
rectangle
The Rectangle and the Parallelogram both have 2 pairs of parallel sides. The Trapezium has 4 sides but only 2 are a parallel pair. The Kite has 2 pairs of equal sides but none parallel. The limits is an irregular quadrilateral with no side equal or parallel to another.
The quadrilateral with two pairs of parallel sides
A parallelogram
A quadrilateral with only two pairs of parallel sides
A parallelogram is such a shape.
rectangle
It is not possible to have a quadrilateral with four parallel sides - this would bea series of four parallel lines that do not intersect.A quadrilateral with four sides of equal length is a rhombus, however.And a quadrilateral with 2 pairs of parallel sides is a parallelogram.
A quadrilateral with congruent pairs of adjacent sides and no parallel sides is a kite.
A parallelogram.
Rhombus