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This investigation is good to follow work on polygons, discussing their names and properties.

Start with a square:

 

Square

You need to draw two straight lines inside the square.

Try different pairs of lines and describe, as accurately as you can the new shapes formed.

 

Example:

 

v      Investigate further.

v      Try increasing the number of lines allowed.

v    Try starting with a different shape. Eg. Triangle, rectangle etc.