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Geometric Constructions Based on Equilateral Triangles

Geometric Constructions Based on Equilateral Triangles
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2015-09-07 08:20
TriangleCircleGeometric Construction
This example demonstrates various geometric constructions based on equilateral triangles. It involves key concepts of equilateral triangles and uses GeoGebra commands such as Segment, Circle, and Intersect to build complex geometric figures. Suitable for middle school and above students and teachers to understand the properties of equilateral triangles and their applications in geometric constructions.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Circle(A, B) → c
  3. Circle(B, A) → d
  4. Intersect(c, d, 1) → C
  5. Segment(C, A) → b
  6. Segment(A, B) → e
  7. Segment(B, C) → f
  8. Intersect(c, d, 2) → D
  9. Circle(C, B) → r
  10. Segment(A, D) → i
  11. Segment(D, B) → j
  12. Intersect(d, r, 2) → E
  13. Circle(E, B) → g
  14. Intersect(d, g, 2) → F
  15. Circle(F, E) → h
  16. Intersect(d, h, 2) → H
  17. Circle(H, F) → k
  18. Segment(C, E) → l
  19. Segment(E, B) → m
  20. Segment(B, H) → n
  21. Segment(D, H) → p
  22. Segment(H, F) → q
  23. Segment(F, E) → s
  24. Segment(B, F) → t
  25. Circle(D, H) → c_1
  26. Intersect(g, h, 1) → I
  27. Segment(E, I) → a_1
  28. Point(h) → J
  29. Segment(F, J) → b_1
  30. Segment(J, I) → d_1
  31. Intersect(h, k, 1) → K
  32. Segment(H, K) → e_1
  33. Segment(K, J) → f_1
  34. Point(r) → L