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H-Trapezoid-Student Filtered

H-Trapezoid-Student Filtered
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2020-02-19 06:43
Probability & StatisticsMatrix
This example demonstrates the construction of an H-trapezoid. Key mathematical concepts include trapezoid, hypergeometric distribution, cosine function, and matrices. Using GeoGebra commands such as Circle, Segment, OrthogonalLine, etc., an H-trapezoid can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Circle(B, C) → f
  2. Circle(D, C) → g
  3. Segment(B, D) → f_1
  4. OrthogonalLine(C, f_1) → i_1
  5. Line(B, C) → a
  6. Polygon(B, C, D, A) → poly1, b, c, c_1, a_1
  7. Line(B, c) → d
  8. Line(D, b) → e
  9. Circle(C, D) → h
  10. Circle(C, B) → k
  11. Circle(B, Distance[C, D]) → q
  12. Intersect(d, e) → G
  13. Circle(D, G) → p
  14. Intersect(q, e) → E, F
  15. Intersect(p, d) → H, I
  16. Intersect(g, d) → J, K
  17. Intersect(g, e) → L, M
  18. OrthogonalLine(D, d) → i
  19. Intersect(i, d) → N
  20. OrthogonalLine(B, e) → j
  21. Intersect(j, e) → O
  22. Ray(B, F) → l
  23. Ray(D, F) → m
  24. Circle(N, 0.3) → g_1
  25. Circle(O, 0.3) → h_1
  26. Circle(I, 0.3) → t
  27. Circle(E, 0.3) → s
  28. Circle(G, 0.3) → r
  29. Distance(A, i_1) → Daltdist
  30. Distance(A, H) → Makdist
  31. If(Makdist < 0.25, true) → IsRhum
  32. Distance(A, I) → ADeqBCdist
  33. Distance(A, E) → ABeqCDdist
  34. Min(Distance[A, O], Distance[A, N]) → BAD90dist
  35. Distance(A, l) → CDparABdist
  36. Distance(A, m) → CBparADdist
  37. Circle(C, B) → e_1
  38. Distance(A, f_1) → tridist
  39. If(Daltdist < 0.25 ∧ tridist > 0.1 ∧ Distance[A, C] > 0.1, true) → IsDalt
  40. If((CBparADdist < 0.2 ∨ CDparABdist < 0.2) ∧ Makdist > 0.2, true) → Istrap

AI Drawing Prompt Reference

Draw an H-trapezoid with four vertices A, B, C, and D. First, draw circles centered at B and C, then draw line segment BD. Draw the perpendicular from C to BD (i1). Draw line BC to form trapezoid BCDA. Draw perpendiculars from B to BC (d) and from D to BD (e), and circles centered at C and D. Draw circle D centered at G, and circles centered at E and F. Draw circles centered at H and I, and circles centered at J and K. Draw the perpendicular from D to d (i), and circles centered at N and O. Draw rays BF and DF, and small circles centered at N, O, I, E, and G. Finally, check conditions to ensure the shape meets the H-trapezoid criteria.
The prompt above was compiled from the original drawing commands and is for reference only.