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3-Set Venn Diagram

3-Set Venn Diagram
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2017-05-26 21:07
Probability & StatisticsGeometric Construction
In collections Probabilty class 10 class 10
This example demonstrates a Venn diagram for three sets, illustrating intersections and unions among them. Core math concepts include set theory and geometric distribution in probability statistics. Construction highlights involve GeoGebra commands/objects like Polygon, Segment, If, Element, Length, Corner. Suitable for high school mathematics and probability/statistics education.

GeoGebra Commands & Parameters

  1. Polygon(I, H, 3) → poly2, r, s, t, J
  2. Segment((x_1, y_1), (x_1, y_2)) → e
  3. Segment((x_1, y_2), (x_2, y_2)) → f
  4. Segment((x_2, y_1), (x_2, y_2)) → g
  5. Segment((x_2, y_1), (x_1, y_1)) → h
  6. If(IsGreen1, 0, 1) → RB1
  7. If(IsGreen1, 0.4, 1) → G1
  8. If(IsGreen2, 0, 1) → RB2
  9. If(IsGreen3, 0, 1) → RB3
  10. If(IsGreen8, 0, 1) → RB8
  11. If(IsGreen2, 0.4, 1) → G2
  12. If(IsGreen3, 0.4, 1) → G3
  13. If(IsGreen8, 0.4, 1) → G8
  14. Element(problem, item, 1) → textitem
  15. Length(problem) → i
  16. Element(problem, item, 2) → key
  17. Polygon(Corner[1], Corner[2], Corner[3], Corner[4]) → poly1, l, m, n, q
  18. Corner(5) → G
  19. If(IsGreen4, 0.4, 1) → G4
  20. If(IsGreen5, 0.4, 1) → G5
  21. If(IsGreen6, 0.4, 1) → G6
  22. If(IsGreen7, 0.4, 1) → G7
  23. If(IsGreen4, 0, 1) → RB4
  24. If(IsGreen5, 0, 1) → RB5
  25. If(IsGreen6, 0, 1) → RB6
  26. If(IsGreen7, 0, 1) → RB7

AI Drawing Prompt Reference

Draw a Venn diagram for three sets using three circles to represent each set and their intersections. Start by drawing the three circles, then add the intersection areas between them, and finally label the sets and intersection regions.
The prompt above was compiled from the original drawing commands and is for reference only.