That's a rhombus.
A quadrilateral with both pairs of opposite sides congruent is a parallelogram.
The Opposite Sides Parallel and Congruent Theorem states that if a quadrilateral has a pair of opposite sides that are parallel and congruent, then the quadrilateral is a parallelogram.
The quadrilateral with two pairs of parallel sides
A parallelogram has two pairs of congruent sides, and the opposite sides are congruent.
A quadrilateral with congruent pairs of adjacent sides and no parallel sides is a kite.
A parallelogram has two pairs of congruent sides.
A kite or chevron.
That's a parallelogram.
It is a rectangle.
It is a square or a rhombus