How do you draw a quadrangle that has 2 pairs of equal sides but is not a parallelogram?

A kite shape is one example -- 2 long sides adjacent to each other & 2 short sides adjacent to each other.

A kite is one such quadrangle.

Draw a rectangle. And you probably mean "congruent sides," or "sides of equal length."

Rhombus Actually a rhombus is in the parallelogram family, it just is a special member.

A kite