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Geometric Transformations and Probability

Geometric Transformations and Probability
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2018-07-22 06:19
Probability & StatisticsTransformationGeometric Construction
In collections Homothety, Rotation Symmetry -RO
This example demonstrates probability problems through geometric transformations. It involves concepts such as dilation and angle rotation. Using GeoGebra commands like Dilate and Rotate, it dynamically illustrates the process of geometric transformations. Suitable for high school mathematics education, particularly for learning geometric transformations and probability statistics.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
  2. Midpoint(C, A) → O
  3. Dilate(poly1, 5 / 6, O) → poly1'
  4. Angle(poly1') → α, β, γ, δ
  5. Rotate(poly1', 13°, O) → poly1''
  6. Angle(poly1'') → ε, ζ, η, θ
  7. Dilate(poly1'', 5 / 6, O) → poly1'''
  8. Rotate(poly1''', 13°, O) → q1
  9. Dilate(q1, 5 / 6, O) → q1'
  10. Rotate(q1', 13°, O) → q1''
  11. Dilate(q1'', 5 / 6, O) → q1'''
  12. Rotate(q1''', 13°, O) → q2
  13. Dilate(q2, 5 / 6, O) → q2'
  14. Rotate(q2', 13°, O) → q2''
  15. Dilate(q2'', 5 / 6, O) → q2'''
  16. Rotate(q2''', 13°, O) → q3
  17. Dilate(q3, 5 / 6, O) → q3'
  18. Rotate(q3', 13°, O) → q3''