Circle Properties

yijie91, Apr 1, 2018

An investigation of circle properties using applets


  • 1. Angles at centre and cirumference of circle
  • 2. Interior angles of cyclic quadrilateral
  • 3. Angles in the same segment
  • 4. Perpendicular bisector of chord in circle
  • 5. Alternate segment theorem
  • 6. Angles in a cyclic quadrilateral

1.

Angles at centre and cirumference of circle

Relationship between angle at centre and angle at circumference in a circle.

By dragging the points A, B and C, what can you infer about the relationships of the angles? Can you use algebra to prove that this relationship is always true?
– yijie91

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