Third Angles Theorem

Third Angles Theorem
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2017-12-08 21:58
This example illustrates the Third Angles Theorem, which states that the sum of any two angles in a triangle equals the third angle. Key mathematical concepts include the Triangle Angle Sum Theorem. Using GeoGebra commands such as Segment, Circle, Point, Intersect, and Angle, the example dynamically demonstrates the relationship between the angles in a triangle. Suitable for middle school and above students to learn about the Triangle Angle Sum Theorem.

GeoGebra Commands & Parameters

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