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Measuring Angles by Patricia Arnold

Measuring Angles by Patricia Arnold
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2015-09-28 20:15
AngleTrigonometryGeometric Construction
This example demonstrates how to measure angles using GeoGebra, involving core math concepts like angles, distances, rotations, and circles. It utilizes commands such as Angle, Distance, Circle, Point, Rotate, Ray, Intersect, and CircleSector. Suitable for middle school and above students learning geometric angle measurement techniques.

GeoGebra Commands & Parameters

  1. Angle(C_1, A_1, B_1) → α
  2. Distance(A_1, B_1) → distanceAB
  3. Circle(A_1, a) → c
  4. Point(c) → D
  5. Rotate(D, 195.58*°, A_1) → D'
  6. Angle(D', A_1, D) → β
  7. Ray(B, A) → d
  8. Ray(B, C) → e
  9. Circle(B, 1.5) → f
  10. Intersect(f, d) → E,
  11. Intersect(f, e, 1) → F
  12. CircleSector(B, E, F) → g
  13. Ray(G, H) → i
  14. Ray(G, I) → j
  15. Circle(G, 1.5) → k
  16. Intersect(k, j, 1) → J
  17. Intersect(k, i, 1) → K
  18. CircleSector(G, J, K) → p
  19. Ray(L, M) → m
  20. Ray(L, N) → n
  21. Circle(L, 1.5) → q
  22. Intersect(q, m, 1) → O
  23. Intersect(q, n, 1) → P
  24. CircleSector(L, O, P) → r
  25. Ray(Q, R) → s
  26. Ray(Q, S) → t
  27. Circle(Q, 1.5) → c_1
  28. Intersect(c_1, s, 1) → T
  29. Intersect(c_1, t, 1) → U
  30. CircleSector(Q, U, T) → d_1
  31. Ray(V, W) → a_1
  32. Ray(V, Z) → b_1
  33. Circle(V, 1.5) → e_1
  34. Intersect(e_1, a_1) → D_1,
  35. Intersect(e_1, b_1, 1) → E_1
  36. CircleSector(V, E_1, D_1) → f_1