Make a ven diagram for a rhombus and a parallelogram

Step-by-step

First we need to know the properties of the given figures.

There are many ways to describe a parallelogram.  Here we will use the simple description that

"A parallelogram is a convex quadrilateral with opposite sides equal and parallel."

If we take pencil and paper to construct two parallel and equal lines, and join the corresponding points, we can only get a parallelogram (as long as the figure is convex.

Similarly, if we draw four equal lines to draw a parallelogram, we can only get a rhombus.  Therefore a rhombus is a parallelogram with all four sides equal.  

See the Venn diagram attached.

Note

(in fact, the minimum definition of a rhombus is "a parallelogram with two adjacent sides equal")