Any polygon with an even number of sides can have opposite sides that are congruent and parallel.
A four-sided polygon with opposite sides parallel and all sides congruent is a square.
Any polygon with 2n sides (n integer) where opposite sides are parallel, will have its opposite angles congruent.
A rectangle is a quadrilateral with opposite sides parallel and congruent and four right angles. If all four sides are congruent, it is a square.
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.
A square's opposite sides are parallel and all the sides are congruent.
Yes opposite sides are parallel and congruent
A square is a four-sided polygon with two congruent parallel sides.
A square or a rhombus
There are many such shapes. Any polygon with an even number of sides can have opposite sides that meet the above requirements.