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Angle Addition Postulate Practice by mtorres1

Angle Addition Postulate Practice by mtorres1
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2015-09-13 23:45
AngleCoordinate GeometryGeometric Construction
This example demonstrates the application of the angle addition postulate through geometric constructions, focusing on concepts like angle measurement, coordinate systems, and trigonometric functions. The construction involves GeoGebra commands such as Line, Point, Rotate, and Angle to create parallelograms and unit circles. Suitable for middle school students or high school students to understand angle relationships and coordinate geometry, useful for math practice and teaching assistance.

GeoGebra Commands & Parameters

  1. Line(C_1, E_1) → a
  2. Point(Circle[F_1, 4]) → G_1
  3. Segment(F_1, G_1) → b
  4. Rotate(G_1, 45*°, F_1) → E1
  5. Angle(G_1, F_1, E1) → α
  6. Segment(F_1, E1) → c
  7. Point(Circle[Z, 4]) → A1
  8. Segment(Z, A1) → d
  9. Point(Circle[C1, 4]) → B1
  10. Segment(C1, B1) → e
  11. Point(Circle[K, 4]) → L
  12. Segment(K, L) → f
  13. Point(Circle[Q, 4]) → R
  14. Segment(Q, R) → g
  15. Point(Circle[H, 4]) → I
  16. Segment(H, I) → h
  17. Point(Circle[W, 4]) → X
  18. Segment(W, X) → i
  19. Point(Circle[T, 4]) → U
  20. Segment(T, U) → j
  21. Point(Circle[E, 4]) → F
  22. Segment(E, F) → k
  23. Rotate(I, 45*°, H) → G
  24. Angle(I, H, G) → β
  25. Rotate(A1, 90*°, Z) → Y
  26. Angle(A1, Z, Y) → γ
  27. Rotate(B1, 135*°, C1) → D1
  28. Angle(B1, C1, D1) → δ
  29. Rotate(L, 180*°, K) → J
  30. Angle(L, K, J) → ε
  31. Rotate(U, 30*°, T) → S
  32. Angle(U, T, S) → ζ
  33. Rotate(X, 15*°, W) → V
  34. Angle(X, W, V) → η
  35. Rotate(R, 60*°, Q) → P
  36. Angle(R, Q, P) → θ
  37. Rotate(F, 75*°, E) → D
  38. Angle(F, E, D) → ι
  39. Segment(H, G) → l
  40. Segment(K, J) → m
  41. Segment(Z, Y) → n
  42. Segment(C1, D1) → p
  43. Segment(T, S) → q
  44. Segment(W, V) → r
  45. Segment(Q, P) → s
  46. Segment(E, D) → t
  47. Point(Circle[N, 4]) → O
  48. Segment(N, O) → a_1
  49. Rotate(O, 120*°, N) → M
  50. Angle(O, N, M) → κ
  51. Segment(N, M) → b_1
  52. Point(Circle[B, 4]) → C
  53. Segment(B, C) → c_1
  54. Rotate(C, 150*°, B) → A
  55. Angle(C, B, A) → λ
  56. Segment(B, A) → d_1