Theorem of Thales

Below you can see a triangle whose vertex C lies on a semicircle over segment c.

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  1. Drag point C with the mouse along the semicircle and watch the angles of the triangle. Write down your observations on a sheet of paper.
  2. Use the Angle tool to create the angles of the triangle. Check your assumptions from 1) by moving point C with the mouse (in Move mode).

Judith Preiner, Created with GeoGebra