Wednesday, March 21, 2012

The Angle Trisector

In the figure below, |AB| = |BD| = |CD|. Move point P and observe the figure.
This is a Java Applet created using GeoGebra from - it looks like you don't have Java installed, please go to
  1. What kind of triangle is triangle BDC?
  2. Make a conjecture about the relationship between angle PDC and angle PAB
  3. Verify your conjecture by clicking the Show Angles Measures check box.
  4. Challenge: Prove your conjecture

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