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Venn Diagram Shading with 2 and 3 Sets

Venn Diagram Shading with 2 and 3 Sets
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2015-09-13 07:51
Probability & StatisticsGraphing
In collections class 10 Sets & Probability
This example demonstrates how to draw and shade Venn diagrams for 2 and 3 sets using GeoGebra. It involves core math concepts like set operations, Venn diagram representation, and logical conditional statements. Key GeoGebra commands/objects used include Polygon, Circle, Segment, Intersect, CircleArc, and Random. Suitable for IGCSE set theory and A-Level S1 (Statistics 1).

GeoGebra Commands & Parameters

  1. Polygon(A, B, D, C) → poly1, a, b, d, c
  2. Circle(E, G) → e
  3. Circle(F, H) → f
  4. Segment(A, B) → g
  5. Segment(B, D) → h
  6. Segment(D, C) → i
  7. Segment(C, A) → j
  8. Intersect(e, f) → I, J, ,
  9. CircleArc(E, I, J) → k
  10. CircleArc(E, J, I) → p
  11. CircleArc(F, I, J) → q
  12. CircleArc(E, J, I) → t
  13. CircleArc(F, I, J) → c_1
  14. CircleArc(E, I, J) → r
  15. CircleArc(F, J, I) → d_1
  16. CircleArc(E, J, I) → e_1
  17. CircleArc(F, I, J) → f_1
  18. Polygon(A, C, D, B) → poly2, a_2, c_2, d_2, b_1
  19. Circle(E, G) → g_1
  20. Circle(F, H) → h_1
  21. Random(1, 8) → i_2
  22. Polygon(K, L, 3) → poly3, p_1, q_1, r_1, M
  23. Circle(M, m_1) → k_2
  24. Circle(K, m_1) → p_2
  25. Circle(L, m_1) → q_2
  26. Intersect(k_2, p_2, 2) → N
  27. Intersect(k_2, p_2, 1) → O
  28. Intersect(p_2, q_2, 1) → P
  29. Intersect(k_2, q_2, 2) → Q
  30. Intersect(k_2, q_2, 1) → R
  31. Intersect(p_2, q_2, 2) → S
  32. CircleArc(K, O, N) → r_2
  33. CircleArc(M, N, O) → s_2
  34. CircleArc(L, R, Q) → t_2
  35. CircleArc(M, Q, R) → c_3
  36. CircleArc(L, P, S) → d_3
  37. CircleArc(K, S, P) → e_3
  38. Polygon(A, C, D, B) → poly4, a_3, c_4, d_4, b_3
  39. Circle(M, m_1) → g_3
  40. Circle(K, m_1) → h_3
  41. Circle(L, m_1) → k_3
  42. Random(1, 28) → f_3

AI Drawing Prompt Reference

Draw a Venn diagram with two overlapping circles to show the intersection and union of two sets. Add shading to the edges to highlight different regions. Construct by first drawing the circles, then determining their intersection points, and finally shading the areas to ensure a clear and understandable diagram.
The prompt above was compiled from the original drawing commands and is for reference only.