draw a quadrangle that has 2 pairs of equal sides but is not a parallelogram
It could be a general quadrangle which just happened to have two sides of equal length.
Kite
A parallelogram.
No.
A rectangle.
A square
its a kite
It could be an arrowhead.
Rectangle
A kite
Draw a rectangle. And you probably mean "congruent sides," or "sides of equal length."