Completing Quadrilaterals printable sheet


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)	17. Arrowhead (4)       (Concave Kite)	18.  Trapezium (9)
19.  Parallelogram (8)	20.  Isosceles         Trapezium (8)	21.  Kite (3)
22.  Arrowhead (4)         (Concave Kite)	23.  Kite (9)	24.  Trapezium (9)

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