Ways to prove parallelograms/quadrilaterals

Both pair of opposite sides parallel

Opposite angles are congruent

Consecutive angles (same side interior angles) are supplementary

If one angles is a right angle, than all four are right angles

The diagonals bisect each other

Opposite sides are congruent

(quads parallel)
both pair opposite sides are parallel then the quad is a parallelogram (DEF OF PARALLELOGRAM)

(quads parallel)
both pair opposite sides congruent then the quad is a parallelogram

(quads parallel)
both pair opposite angles congruent then a quad is a parallelogram

(quads parallel)
diagonal bisect each other than the quad is a parallelogram

***(quads parallel)
one pair of opposite sides are congruent and parallel