Exploring Triangles

Triangle ACD and triangle BCD are equilateral triangles. 

Questions

  1. What can you say about triangle BCD and the red triangle? Move the slider confirm your answer.
  2. Change the shape of the triangle by moving point C, and use the slider to compare the triangles. Does your observation still hold?
  3. Make a conjecture about triangle ACE and triangle BCD
  4. Prove your conjecture. 

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