A rectangle is one of them
This is a parallelogram.
Not necessarily. They can, but don't have to. A quadrilateral which does have congruent sides is called a rhombus.
An impossibility. By definition a quadrilateral with 4 congruent sides must have congruent adjacent angles.
A square has.
No , a quadrilateral has four congruent sides. The top , bottom , and two sides.
A quadrilateral with congruent pairs of adjacent sides and no parallel sides is a kite.
Any polygon with an even number of sides can have two lines of symmetry, but it would have to be irregular.