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Geometric Construction Practice

Geometric Construction Practice
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2016-09-09 00:21
AngleFunctionGeometric Construction
This example demonstrates basic geometric construction techniques, including the drawing of angle bisectors, segments, and rays. Key mathematical concepts include the construction of angles, segments, and rays. It uses commands such as Ray, AngularBisector, and Segment in GeoGebra. Suitable for middle school and above students for geometric construction practice.

GeoGebra Commands & Parameters

  1. Ray(A, B) → f
  2. Ray(A, C) → g
  3. AngularBisector(C, A, B) → h
  4. Segment(D, E) → i
  5. LineBisector(E, D) → j
  6. Intersect(j, i) → F
  7. Point(j) → G
  8. Line(G, i) → k
  9. Intersect(j, k) → H
  10. OrthogonalLine(I, k) → l
  11. OrthogonalLine(E, k) → m
  12. Intersect(k, m) → J
  13. Intersect(k, l) → K
  14. Intersect(l, i) → L
  15. Intersect(m, i) → M
  16. Intersect(l, i) → N
  17. Segment(O, P) → n
  18. Line(Q, n) → p
  19. LineBisector(n) → q
  20. Intersect(q, n) → R
  21. OrthogonalLine(O, p) → r
  22. OrthogonalLine(P, p) → s
  23. Intersect(p, r) → S
  24. Intersect(p, s) → T
  25. Angle(P, O, S) → α
  26. Angle(S, T, P) → β
  27. Angle(O, S, T) → γ
  28. Angle(T, P, O) → δ
  29. Segment(U, V) → t
  30. Circle(V, Segment[V, U]) → c
  31. Point(c) → W
  32. Circle(W, t) → d
  33. Intersect(c, d, 2) → Z
  34. Circle(Z, t) → e
  35. Intersect(c, d, 1) → A_1
  36. Circle(A_1, t) → c_1
  37. Intersect(c, c_1, 1) → B_1
  38. Intersect(d, c_1, 2) → C_1
  39. Intersect(d, e, 1) → D_1
  40. Intersect(c, e, 2) → E_1
  41. Segment(E_1, B_1) → a
  42. Segment(B_1, C_1) → b
  43. Segment(C_1, D_1) → f_1
  44. Segment(D_1, E_1) → g_1