Circle Theorems

Michael Borcherds, LGS teachers, May 30, 2015


  • 1. Isosceles Triangle in a Circle (page 1)
  • 2. Isosceles Triangle in a Circle (page 2)
  • 3. Simple Angle in a Semi-circle
  • 4. Angle in a semi-circle
  • 5. Angle in a semi-circle (proof)
  • 6. Simple Angle at the Centre
  • 7. Simple Angle at the Centre (Reflex Case)
  • 8. Angle at the centre (page 1)
  • 9. Angle at the centre (page 2)
  • 10. Angle at the centre (page 3)
  • 11. Angle at the centre (page 4)
  • 12. Angles in the same Segment
  • 13. Angles in the same Segment (Proof)
  • 14. Simple Cyclic Quadrilateral
  • 15. Cyclic Quadrilateral (Proof)
  • 16. Alternate Segment Theorem (page 1)
  • 17. Alternate Segment Theorem (page 2)
  • 18. Alternate Segment Theorem (proof)
  • 19. Common Tangents to a Circle
  • 20. Common Tangents to a Circle (Proof)

1.

Isosceles Triangle in a Circle (page 1)

– Michael Borcherds

2.

–

3.

–

4.

–

5.

–

6.

–

7.

–

8.

–

9.

–

10.

–

11.

–

12.

–

13.

–

14.

–

15.

–

16.

–

17.

–

18.

–

19.

–

20.

–

Information