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Dilation

Dilation
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2013-12-19 23:09
VectorTransformationGeometric Construction
This interactive activity helps students understand the concept of dilation. Key mathematical concepts include dilation, distance, and slope. Using GeoGebra commands such as Polygon, Dilate, Distance, and Slope, students can visually grasp the properties of dilation. Suitable for middle school and above students to learn the basics of dilation.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Intersect(xAxis, yAxis) → D
  3. Line(D, A) → d
  4. Line(D, C) → e
  5. Line(D, B) → f
  6. Dilate(A, k, D) → A'
  7. Dilate(B, k, D) → B'
  8. Dilate(C, k, D) → C'
  9. Polygon(A', B', C') → poly1', c', a', b'
  10. Dilate(A, k, E) → G
  11. Dilate(B, k, E) → I
  12. Dilate(C, k, E) → H
  13. Polygon(G, I, H) → poly1'_1, c'_1, a'_1, b'_1
  14. Distance(c', a') → i
  15. Distance(a, b') → j
  16. Distance(b, c) → l
  17. Slope(c'_1) → m_1
  18. Slope(c) → m_2
  19. Slope(a'_1) → m_3
  20. Slope(a) → m_4
  21. Slope(b'_1) → m_5
  22. Slope(b) → m_6
  23. Point(xAxis) → F
  24. Point(xAxis) → J
  25. Line(F, J) → p
  26. Mirror(A, p) → A'_1
  27. Mirror(B, p) → B'_1
  28. Mirror(C, p) → C'_1
  29. Polygon(A'_1, B'_1, C'_1) → poly1'_2, c'_2, a'_2, b'_2
  30. Vector(K, L) → u
  31. Translate(A'_1, u) → M
  32. Translate(B'_1, u) → N
  33. Translate(C'_1, u) → O
  34. Polygon(M, N, O) → poly2, o_1, m_7, n_1
  35. Dilate(A, 0.5, D) → A'_2
  36. Dilate(B, 0.5, D) → B'_2
  37. Dilate(C, 0.5, D) → C'_2
  38. Polygon(A'_2, B'_2, C'_2) → poly1'_3, c'_3, a'_3, b'_3
  39. Rotate(A'_2, 90*°, D) → P
  40. Rotate(B'_2, 90*°, D) → Q
  41. Rotate(C'_2, 90*°, D) → R
  42. Polygon(P, Q, R) → poly3, r, p_1, q_1
  43. Line(C, E) → t
  44. Line(A, G) → a_1
  45. Line(B, E) → b_1
  46. Distance(c'_1, a'_1) → v