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6x10 Pool Table

6x10 Pool Table
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2017-07-05 22:16
PolygonAngleTransformation
In collections Rate & Accumulation Yr 4 Much&Fast
This example demonstrates a 6x10 pool table, showcasing angles, symmetry, and geometric transformations. Using commands such as Intersect, OrthogonalLine, Polygon, and Rotate, the geometric shape of the pool table can be constructed. Suitable for middle school and above students to learn geometric construction and transformations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Point(yAxis) → C
  4. OrthogonalLine(C, yAxis) → f
  5. OrthogonalLine(B, xAxis) → g
  6. Intersect(g, f) → D
  7. Polygon(A, B, D, C) → poly1, a, b, d, c
  8. Rotate(B, 45°, A) → B'
  9. Angle(B, A, B') → α
  10. Line(A, B') → h
  11. Intersect(h, d) → E
  12. Segment(A, E) → i
  13. Rotate(A, 45°, E) → A'
  14. Rotate(D, (-(45°)), E) → D'
  15. Angle(D', E, D) → β
  16. Line(E, D') → j
  17. Intersect(j, b) → F
  18. Segment(E, F) → k
  19. Rotate(B, (-(45°)), F) → B'_1
  20. Angle(B'_1, F, B) → γ
  21. Line(F, B'_1) → l
  22. Intersect(l, a) → G
  23. Segment(F, G) → m
  24. Rotate(A, (-(45°)), G) → A'_1
  25. Angle(A'_1, G, A) → δ
  26. Line(G, A'_1) → n
  27. Intersect(n, d) → H
  28. Segment(G, H) → p
  29. Rotate(C, 45°, H) → C'
  30. Angle(C, H, C') → ε
  31. Line(H, C') → q
  32. Intersect(q, c) → I
  33. Segment(H, I) → r
  34. Rotate(A, 45°, I) → A'_2
  35. Angle(A, I, A'_2) → ζ
  36. Line(I, A'_2) → s
  37. Intersect(s, a) → J
  38. Segment(I, J) → t
  39. Rotate(B, 45°, J) → B'_2
  40. Angle(B, J, B'_2) → η
  41. Line(J, B'_2) → e
  42. Ray(J, B'_2) → f_1