
Quadrilaterals
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problem
Rabbit run
Ahmed has some wooden planks to use for three sides of a rabbit run against the shed. What quadrilaterals would he be able to make with the planks of different lengths?
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problem
Fred the class robot
Billy's class had a robot called Fred who could draw with chalk held underneath him. What shapes did the pupils make Fred draw? -
problem
Square it
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
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problem
Tangram tangle
If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape. How many new shapes can you make?
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problem
Flexi quad tan
As a quadrilateral Q is deformed (keeping the edge lengths constnt) the diagonals and the angle X between them change. Prove that the area of Q is proportional to tanX. -
problem
Transformations on a pegboard
How would you move the bands on the pegboard to alter these shapes?
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problem
A Cartesian puzzle
Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.
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problem
Making rectangles, making squares
How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?