Join dots on each grid below to make the named quadrilateral.
You must use the side given, you can't shorten or extend it.

If there is more than one possibility, try to find the one with the largest area.

 1  Rectangle 2  Square 3  Rectangle 4  Isosceles Trapezium 5  Parallelogram 6  Kite 7  Parallelogram 8  Square 9  Kite 10  Rhombus 11  Parallelogram 12  Kite 13  Arrowhead 14  Kite 15  Rhombus 16  Rhombus 17  Arrowhead 18  Trapezium 19  Parallelogram 20  Isosceles Trapezium 21  Kite 22  Arrowhead 23  Kite 24  Trapezium

You may find it useful to print this worksheet of the problem.

Once you've completed the quadrilaterals, here are some questions you might like to explore:

How many different squares is it possible to draw on a $5$ by $5$ grid like the ones above?

How many different rhombuses is it possible to draw on a $5$ by $5$ grid like the ones above?

Or parallelograms, or trapezia, or...

What about grids of other sizes?

With thanks to Don Steward, whose ideas formed the basis of this problem.