S4 Circle Theorems

tkyggb, 2015. 12. 25.

Circle Theorems


  • 1. S.5 Ch.10 Equal Angles, Equal Arcs, Equal Chords
  • 2. S.5 Ch.10 Arcs proportional to angles centre
  • 3. Arcs Proportional to Angles at the Centre(弧長與圓心角成比例)
  • 4. Radius perpendicular to chord
  • 5. Chord perpendicular to radius
  • 6. Equidistant chord of a circle are equidistant from the cente
  • 7. Angle at Centre & Angle at Circumference: Proof 圓心角與圓周角：証明
  • 8. Angles in the same Segment (Proof)
  • 9. Angle in a Semi-circle 2
  • 10. Angle at semi circle
  • 11. opposite angles, cyclic quadrilateral
  • 12. Exterior angles of cyclic quadrilateral
  • 13. Testing Concyclic
  • 14. make 4 points concyclic
  • 15. Tangent perpendicular to radius
  • 16. Tangent Properties
  • 17. Alternate Segment Theorem
  • 18. Converse of angle in alternate segment
  • 19. Intersecting Circles
  • 20. Power of a Point
  • 21. The Secant Theorem
  • 22. 4 centers of triangles and euler line

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S.5 Ch.10 Equal Angles, Equal Arcs, Equal Chords

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