The answer depends on two side's what!
If you meant two sides, then there are infinitely many quadrilaterals - each different angle between the sides will give a different shape.
Parallelogram, Rectangle, and Isosceles Trapezoid, opposite sides are congruent.
Parallelogram -- 2 pairs of parallel sides Trapezoid -- exactly 1 pair of parallel sides Rhombus -- 4 congruent sides Rectangle -- 4 angles congruent Square -- four angles and sides congruent
Parallelogram -- 2 pairs of parallel sides Trapezoid -- exactly 1 pair of parallel sides Rhombus -- 4 congruent sides Rectangle -- 4 angles congruent Square -- four angles and sides congruent
Parallelogram -- 2 pairs of parallel sides Trapezoid -- exactly 1 pair of parallel sides Rhombus -- 4 congruent sides Rectangle -- 4 angles congruent Square -- four angles and sides congruent
Trapezoid?
There is no specific name for them.
Parallelogram -- 2 pairs of parallel sides Trapezoid -- exactly 1 pair of parallel sides Rhombus -- 4 congruent sides Rectangle -- 4 angles congruent Square -- four angles and sides congruent
Parallelogram -- 2 pairs of parallel sides Trapezoid -- exactly 1 pair of parallel sides Rhombus -- 4 congruent sides Rectangle -- 4 angles congruent Square -- four angles and sides congruent
squares
rhombus
A parallelogram (and all its special cases) has two pairs of opposite sides that are congruent. An isosceles trapezium has one pair of congruent opposite sides. Selected irregular quadrilaterals can have a pair.
Two different quadrilaterals have two pairs of parallel sides and have all their angles congruent. They are the square and the rectangle.