A quadrilateral has four sides and four vertices but no sides need to be parallel although they can be.
A tetrahedron
yes
parallelogram
An isosceles trapezoid has a pair of parallel bases and a pair of congruent sides
It can be a square or a rectangle
No. A parallelogram has two sets of parallel sides.
A quadrilateral has four sides and four vertices but no sides need to be parallel although they can be.
rhombus
A square (i am pretty sure) has 2 sets of parallel sides and four parallel sides.
No, a rhombus has 2 pairs of parallel sides.
A parallelogram has 2 pairs of opposite parallel sides
A tetrahedron
yes
parallelogram
It has 2 pairs of parallel sides
Two parallel sides is part of the definition for a rhombus.