Vertex Inside the Circle

Vertex Inside the Circle
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2017-03-23 03:23
This example demonstrates a geometric figure where the vertex is inside a circle. Key mathematical concepts include circles, angles, and geometric construction. Using GeoGebra commands such as Circle, Point, Segment, Intersect, etc., one can construct a figure involving a circle and a vertex. Suitable for middle school and above students to learn geometric construction and properties of circles.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(c) → C
  3. Point(c) → D
  4. Point(c) → E
  5. Segment(B, D) → f
  6. Segment(C, E) → g
  7. Intersect(f, g) → F
  8. Angle(B, F, C) → α
  9. Angle(C, F, D) → β
  10. Angle(D, F, E) → γ
  11. Angle(E, F, B) → δ
  12. Angle(B, A, C) → ε
  13. Angle(C, A, D) → ζ
  14. Angle(D, A, E) → η
  15. Angle(E, A, B) → θ
  16. CircleArc(A, C, D) → d
  17. CircleArc(A, E, B) → e
  18. CircleArc(A, C, D) → h