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Relationship Between Central Angles, Inscribed Angles, and Their Intercepted Arc

Relationship Between Central Angles, Inscribed Angles, and Their Intercepted Arc
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2018-02-23 07:29
CircleAngle
This example helps students discover the relationship between central angles, inscribed angles, and their intercepted arcs by observing and constructing these geometric elements using GeoGebra commands such as Circle, Point, Segment, CircleArc, and Angle. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(c) → C
  3. Point(c) → D
  4. Point(c) → E
  5. Segment(C, E) → a
  6. Segment(D, E) → b
  7. Segment(C, A) → d
  8. Segment(D, A) → e
  9. CircleArc(A, D, C) → f
  10. Angle(D, A, C) → α
  11. Angle(D, E, C) → β