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Investigation: Construct angles measuring 30, 45 or 60 degrees


This page will walk you through some more intermediate constructions and then leave you with some constructions to develop on your own, or with some friends.  

30 degree angles

45 degree angles

60 degree angles

90 degree angles


Intermediate self-explorations

The following are 8 challenges for you to try.  They use the skills we have just explored in previous constructions and in constructing angles of specific sizes. 

Start by considering the special properties that relate to these objects and then have a go at creating them

  • Triangle (SSS, ASA, AAS, SAS)
  • 30,60,90 Triangle
  • Quadrilateral midpoints
  • Triangle medians
  • Triangle altitudes
  • Parallelogram
  • Square
  • Construct 75, 105, 120, 135, 150 degree angles (and more...)

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