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Relationship Between Inscribed Angle and Intercepted Arc

Relationship Between Inscribed Angle and Intercepted Arc
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2017-03-08 09:14
CircleAngleGeometric Construction
In collections Inscribed Angles
This example illustrates the relationship between an inscribed angle and its intercepted arc. Key mathematical concepts include the inscribed angle theorem. By drawing a circle, points, angles, and arcs, students can visually understand the relationship between the inscribed angle and the intercepted arc. GeoGebra commands used include Circle, Point, Angle, Segment, and CircleArc. Suitable for middle school and above students learning geometry.

GeoGebra Commands & Parameters

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