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Supplementary and Complementary Angles Matching Game

Supplementary and Complementary Angles Matching Game
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2012-02-01 06:25
AngleVectorGeometric Construction
This example uses a game to help students identify and match supplementary and complementary angles. Key mathematical concepts include angle classification and calculation. It utilizes GeoGebra commands such as Rotate, Angle, Line, Point, Vector, and Segment. Suitable for middle and high school students learning geometry and trigonometry.

GeoGebra Commands & Parameters

  1. Rotate(A, 90*°, B) → A'
  2. Angle(A, B, A') → α
  3. Line(B, A) → a
  4. Line(B, A') → b
  5. Point(a) → C
  6. Point(b) → D
  7. Vector(B, C) → u
  8. Vector(B, D) → v
  9. Line(E, F) → c
  10. Point(c) → G
  11. Point(c) → H
  12. Point(c) → I
  13. Vector(G, I) → w
  14. Vector(G, H) → z
  15. Rotate(J, 30*°, K) → J'
  16. Angle(J, K, J') → β
  17. Rotate(L, 60*°, M) → L'
  18. Angle(L, M, L') → γ
  19. Rotate(N, 120*°, O) → N'
  20. Angle(N, O, N') → δ
  21. Rotate(P, 150*°, Q) → P'
  22. Angle(P, Q, P') → ε
  23. Rotate(R, 40*°, S) → R'
  24. Angle(R, S, R') → ζ
  25. Rotate(T, 140*°, U) → T'
  26. Angle(T, U, T') → η
  27. Rotate(V, 50*°, W) → V'
  28. Angle(V, W, V') → θ
  29. Rotate(Z, 130*°, A_1) → Z'
  30. Angle(Z, A_1, Z') → ι
  31. Vector(K, J) → d
  32. Segment(K, J) → a_1
  33. Segment(K, J') → b_1
  34. Segment(M, L) → c_1
  35. Segment(M, L') → d_1
  36. Segment(O, N) → e_1
  37. Segment(O, N') → f_1
  38. Segment(U, T) → g_1
  39. Segment(U, T') → h_1
  40. Segment(S, R) → i_1
  41. Segment(S, R') → j_1
  42. Segment(A_1, Z) → k_1
  43. Segment(A_1, Z') → l_1
  44. Segment(Q, P) → m_1
  45. Segment(Q, P') → n_1
  46. Segment(W, V) → p_1
  47. Segment(W, V') → q_1