Thursday, April 24, 2008

Geometry up as far as circle theorems

Today we went over the idea of a proof of a geometric problem as opposed to proof of a theorem.
Insofar as possible, keep the proof of problems as formal as the proofs of theorems:
  • drawing a diagram
  • stating what is to be proven in terms of your diagram
  • doing a construction or a relabelling if needed
  • justifying each step along the way.
You had 2 such problems for homework. Note tjhat in the rhombus question you should prove the shape is a rhombus using the principles of congruence.

You should know the first 6 theorems by now. It is important to remember the order so that you know which previous theorems you can use in the course of the theorem you are asked to prove.

Tomorrow we will look at the constructions and start proving the first of the circle theorems.

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