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Dudeney: Choosing a Site in a Right Estate

Dudeney: Choosing a Site in a Right Estate
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2020-06-16 03:11
TriangleCoordinate GeometryGeometric Construction
This example demonstrates geometric construction to determine the correct placement of a right triangle in a coordinate system. Key mathematical concepts include triangle properties, coordinate geometry, and similar triangles. The construction involves using GeoGebra commands like Point, Polygon, Line, and Circle to create geometric objects. Suitable for students learning geometric constructions and coordinate applications.

GeoGebra Commands & Parameters

  1. Point(yAxis) → N
  2. Point(xAxis) → O
  3. Polygon(N, O, P) → poly2, c, a, b
  4. Line(O, P) → c_1
  5. Line(P, N) → d
  6. Line(O, N) → e
  7. Point(c_1) → B
  8. Circle(O, r) → s_3
  9. Intersect(s_3, c, 1) → H
  10. Segment(H, P) → s
  11. OrthogonalLine(B, s) → d_1
  12. Intersect(d_1, b) → I
  13. Intersect(d_1, c) → Q
  14. Intersect(d_1, a) → R
  15. Segment(Q, I) → f
  16. Segment(R, I) → g
  17. Point(g) → A
  18. OrthogonalLine(A, c_1) → h
  19. OrthogonalLine(A, e) → i
  20. OrthogonalLine(A, d) → j
  21. Intersect(c_1, h) → D
  22. Intersect(j, d) → E
  23. Intersect(i, e) → F
  24. Segment(A, D) → k
  25. Segment(F, A) → l
  26. Segment(A, E) → m
  27. Point(f) → G
  28. OrthogonalLine(G, e) → e_1
  29. OrthogonalLine(G, c_1) → f_1
  30. OrthogonalLine(G, d) → g_1
  31. Intersect(g_1, d) → S
  32. Intersect(e_1, e) → T
  33. Intersect(f_1, c_1) → U
  34. Segment(T, G) → h_1
  35. Segment(G, U) → i_1
  36. Segment(G, S) → j_1