There can be any number (>=3) of parallelograms in a regular hexagon. If it is not a regular hexagon you may not have any.
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there are 2 draw a line down the center of the hexagon
6
4 triangles make 1 hexagon. (easy way to find out how many triangles there are in a polygon- take number of sides of the polygon, subtract 2 from it, that's your answer!)
how many squares fit in a hexagon
Two trapezoids can make up a hexagon.