I have a student who resists constructions. Student had to construct a 60 degree angle on a test, and instead of making Euclid Proposition 1, the student drew a right isosceles triangle and split the hypotenuse in 3 with a ruler’s markings.

And when I checked with GSP, that makes a 63.43 degree angle.

It’s good to go through some of these misconceptions from a hardcore doubting Thomas.

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joeltpattersonPost authorWhoops! You CAN trisect an angle:

http://www.geom.uiuc.edu/docs/forum/angtri/