That's not possible. No rhombus (quadrilateral with two pairs of equal sides) cannot be a parallelogram.
http://wiki.answers.com/Q/What_is_a_quadrangle_tha...

In geometry, a rhombus is a
http://www.chacha.com/question/whatisaquadrangl...

Trapazoid is wrong, since it has two sides which are the same, and two which are different from each other. A kite (the traditional kite shape, with two equal short sides at the top
http://answers.yahoo.com/question/index?qid=200609...

It is an isosceles trapezoid
http://www.blurtit.com/q7715843.html
