Each line is one side of the named quadrilateral. Can you draw the other three sides in the 4 by 4 dotty grids?
If there is more than one possibility, try to find the quadrilateral with the largest area (given in brackets).
An * indicates that there is a “special” quadrilateral with a larger area than the one
given in the brackets. For example, the largest parallelogram might be a square or a rectangle. Take a look at the Getting Started page if you want to find out more about special cases.
1. Rectangle (6) 
2. Square (8) 
3. Rectangle (4) 
4. Isosceles Trapezium (12) 
5. Parallelogram (9*) 
6. Kite (8) 
7. Parallelogram (6) 
8. Square (5) 
9. Kite (12) 
10. Rhombus (4*) 
11. Parallelogram (3*) 
12. Kite (6) 
13. Arrowhead (6) (Concave Kite) 
14. Kite (8)  15. Rhombus (8) 
16. Rhombus (3) 

18. Trapezium (9) 
19. Parallelogram (8) 
20. Isosceles Trapezium (8) 
21. Kite (3) 
22. Arrowhead (4) (Concave Kite) 
23. Kite (9)  24. Trapezium (9) 
You may find it useful to print this worksheet of the problem.
With thanks to Don Steward, whose ideas formed the basis of this problem.