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Dilation Transformation Demo by Adam Blomberg

Dilation Transformation Demo by Adam Blomberg
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2016-02-24 22:24
Probability & StatisticsTransformationGeometric Construction
This example demonstrates polygonal dilation in a coordinate system, involving core math concepts like transformation, similarity, scatter plot, probability distribution, orthocenter, histogram, and division. It uses GeoGebra commands like Polygon, Dilate, and Segment. Suitable for high school mathematics teaching, illustrating the integration of geometric transformations and data analysis.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Polygon(E, F, G) → poly2, g, e, f
  3. Polygon(H, I, J, K) → poly3, h, i, j, k
  4. Polygon(L, M, N, O, P, Q) → poly4, l, m, n, o, p, q
  5. Dilate(A, 2, R) → A'
  6. Dilate(B, 2, R) → B'
  7. Dilate(C, 2, R) → C'
  8. Dilate(D, 2, R) → D'
  9. Polygon(A', B', C', D') → poly1_1, a', b', c', d'
  10. Dilate(E, 3, E) → E'
  11. Dilate(F, 3, E) → F'
  12. Dilate(G, 3, E) → G'
  13. Polygon(Dilate[E, 3, U], Dilate[F, 3, U], Dilate[G, 3, U]) → poly2_1, t, a_1, b_1
  14. Dilate(H, 1.5, S) → H'
  15. Dilate(I, 1.5, S) → I'
  16. Dilate(J, 1.5, S) → J'
  17. Dilate(K, 1.5, S) → K'
  18. Polygon(H', I', J', K') → poly3_1, h', i', j', k'
  19. Dilate(L, 0.5, T) → L'
  20. Dilate(M, 0.5, T) → M'
  21. Dilate(N, 0.5, T) → N'
  22. Dilate(O, 0.5, T) → O'
  23. Dilate(P, 0.5, T) → P'
  24. Dilate(Q, 0.5, T) → Q'
  25. Polygon(L', M', N', O', P', Q') → poly4_1, l', m', n', o', p', q'
  26. Segment(A', R) → c_1
  27. Segment(D', R) → d_1
  28. Segment(H', S) → e_1
  29. Segment(J', S) → f_1
  30. Segment(I', S) → g_1
  31. Segment(K', S) → h_1
  32. Segment(L, T) → i_1
  33. Segment(Q, T) → j_1
  34. Segment(P, T) → k_1
  35. Segment(N', T) → l_1