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This month:
Stage 1&2
Stage 2&3
Stage 3&4
Stage 4&5
Angle Trisection
Problem
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Teachers' Notes
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Hint
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Solution
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Printable page
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Stage: 4 Challenge Level:
We haven't received any solutions to this one yet. Here's a copy of one of the diagrams from the Hint, and a suggestion.
You need to show that the angle has been trisected, which would mean angles CBR, RBQ and QBP are equal. Congruent triangles may help you to show this!
Generalising
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Parallel lines
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Mathematical reasoning & proof
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Number theory
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Congruence
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Perpendicular lines
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Inequality/inequalities
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Manipulating algebraic expressions/formulae
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Dynamical systems
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Stage 5 - Reviewed 2012
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Published September 2000,February 2009.
Help With Mathematical Display