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Angle Addition - Problem 3

Angle Addition - Problem 3
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2016-09-27 09:41
AngleGeometric ConstructionSlider Animation
In collections Angle Addition Problems
This example demonstrates how to use the angle addition postulate to solve problems. The core math concepts involved are the angle addition postulate. Construction highlights include using GeoGebra commands and objects such as Ray, Circle, Intersect, CircleArc, Point, Angle, CircleSector, Distance, and Textfield. Suitable for middle school mathematics teaching, helping students understand and apply the angle addition postulate.

GeoGebra Commands & Parameters

  1. Ray(B, A) → a
  2. Ray(B, C_1) → b
  3. Ray(B, C) → c
  4. Circle(B, E) → d
  5. Intersect(d, a, 1) → F
  6. Intersect(d, b, 1) → G
  7. Intersect(d, c, 1) → H
  8. CircleArc(B, F, G) → e
  9. CircleArc(B, G, H) → f
  10. Point(e) → K
  11. Point(f) → L
  12. Ray(B, K) → g
  13. Ray(B, L) → h
  14. Angle(F, B, K) → α
  15. Angle(G, B, L) → β
  16. CircleArc(B, F, K) → k
  17. CircleArc(B, G, L) → p
  18. CircleSector(B, F, K) → q
  19. CircleSector(B, G, L) → r
  20. CircleSector(B, G, L) → s
  21. Point(g) → D
  22. Point(b) → M
  23. Point(a) → N
  24. Distance(M, N) → distanceMN
  25. Point(c) → O
  26. Distance(O, M) → distanceOM
  27. Circle(B, N) → t
  28. Intersect(t, c, 1) → P
  29. CircleArc(B, N, P) → c_1
  30. Distance(Q, R) → distanceQR
  31. Point(a) → Z
  32. Point(c) → T
  33. Textfield(i) → InputBox1
  34. Textfield(γ) → InputBox2
  35. Textfield(δ) → InputBox3
  36. Textfield(ε) → InputBox4