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Venn Diagram with 3 Sets

Venn Diagram with 3 Sets
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2017-04-17 20:23
PolygonGeometric Construction
In collections class 10
This example demonstrates how to draw a Venn diagram with three sets. The core mathematical concepts involved are sets and Venn diagrams. Using GeoGebra commands such as Polygon, Segment, If, Element, etc., a Venn diagram with three sets can be constructed. Suitable for students at the junior high school level and above to learn about sets.

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