Exploring Circle Theorems

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• Offline Activity (.zip)

• GeoGebra Files

  1. Equal chords are equidistant from the center. (.ggb)
     
  2. Perpendicular from the center of the circle bisects the chord. Explore the applet by dragging the points. (.ggb)
     
  3. Angles in the same segment are equal in magnitude (.ggb)
     
  4. Equal Chords subtend equal angles at the center (.ggb)
     
  5. Angle subtended by the chord at the center is double the angle subtended at the circle. (.ggb)