Circle Theorems for iGCSE

GreenMaths, Mrs Moule, 17.03.2017

Investigate the circle theorems and corollaries.


  • 1. Circles and Angles 1
  • 2. Circle Theorems - angles on the same arc
  • 3. Circles and Angles 2
  • 4. Angle in a Semi-circle 1
  • 5. Angle in a Semi-circle 2
  • 6. Circle theorems - Cyclic Quadrilaterals
  • 7. Cyclic Quadrilateral 3
  • 8. Circle theorem: Radius to tangent
  • 9. Radius and Chord Relationships
  • 10. Two Tangents Theorem
  • 11. Circle Theorems - Tangents
  • 12. Alternate Segment Theorem (page 1)
  • 13. Crossing Chords Property & Proof Start
  • 14. Intersection of chords - outside the circle

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Circles and Angles 1

Compare the angle at the centre to the angle on the circle. Move the points and become familiar with different versions of the diagram.
– GreenMaths

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