A rhombus, or a square if there is a 90o angle.
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A parallelogram
Rectangle
Both pairs of opposite sides need to be congruent (the same length).
A rhombus (4 congruent sides, diagonals perpendicular)that is not also a square (no right angles), andis also a parallelogram (opposite sides parallel and congruent, opposite angles congruent). It is also a quadrilateral, which has 4 sides.
Squares, rectangles, parallelograms and rhombuses have 2 pairs of parallel sides. The trapezoid has only 1 pair of parallel sides.