Each line is one side of the named quadrilateral. Can you draw the other three sides?

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. 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) |

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