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GCSE Lines investigation

The starting point I have been given for this investigation is three lines which intersect each other, as shown below.


R I

L




The lines, which we will refer to as L, are of infinitive length, though I will only draw them long enough so that we can see the diagrams clearly. The points that the lines cross each other (intersections) I will refer to as I. The areas that are bounded by the lines, I will call regions and refer to them as R. To help me find a relationship between I, L and R, I will have to set a number of boundaries for my lines, if I did not do this then I would have an endless investigation. In this investigation we wish to investigate the maximum number of intersections (I) and regions (R) that a certain number of lines (L) can make. To do this I will start the investigations with simple diagrams and then build them up to complicated sketches, I will then put the resu...

Posted by: Kelly G Hess

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