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Create Kite, Rhombus, Trapezoid, etc

Create Kite, Rhombus, Trapezoid, etc
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2017-11-08 00:17
PolygonTransformationGeometric Construction
This example demonstrates how to construct kites, rhombuses, trapezoids, and other polygons using GeoGebra. Key math concepts include polygon construction, symmetry, angle relationships, and geometric transformations. The construction involves commands like Segment, Line, Circle, Intersect, Polygon, Mirror, and OrthogonalLine. Suitable for high school mathematics education or for geometry enthusiasts learning geometric construction techniques.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Line(C, f) → g
  3. Circle(A, 4.0816663263917095) → c
  4. Intersect(c, g, 1) → D
  5. Segment(A, D) → h
  6. Circle(B, h) → d
  7. Intersect(d, g, 2) → F
  8. Segment(B, F) → i
  9. Polygon(D, A, B, F) → q1, d_1, a, b, f_1
  10. Segment(E, G) → j
  11. Segment(G, H) → k
  12. Line(E, H) → l
  13. Mirror(G, l) → G'
  14. Polygon(G, E, G', H) → q2, g_1, e, g', h_1
  15. Segment(A, F) → m
  16. Segment(B, D) → n
  17. Intersect(m, n) → I
  18. Mirror(I, f) → I'
  19. Polygon(A, I', B) → t1, b_1, a_1, i'
  20. Segment(J, K) → p
  21. OrthogonalLine(K, p) → q
  22. Line(L, p) → r
  23. Line(J, q) → s
  24. Intersect(r, s) → M
  25. Intersect(q, r) → N
  26. Polygon(J, M, N, K) → q3, j_1, m_1, n_1, k_1
  27. Segment(O, P) → t
  28. Circle(O, t) → c_1
  29. Circle(P, t) → e_1
  30. OrthogonalLine(O, t) → i_1
  31. OrthogonalLine(P, t) → l_1
  32. Intersect(c_1, i_1, 1) → Q
  33. Intersect(e_1, l_1, 1) → R
  34. Segment(Q, R) → p_1