Draw a quadrangle with two parallel sides
No.
A kite has no parallel sides
The figure, as described, is impossible. If a quadrangle has 2 pairs of parallel sides then the number of right angles can be 0 or 4, but not 2.
A quadrangle (or quadrilateral) that has two pairs of parallel sides is called a parallelogram.
square or rhombus
I am a rectangle
A general quadrangle. Also, an arrowhead, for example.
Draw a parallelagram this has the opposite sides parallel and no right angles
Rhombus
It is a shape that cannot exist.
rhombus if only 2 sides are parallel but 2 others are not, then it is a trapezoid (trapezium)