Dilation: King Tut's Treasure

Dilation: King Tut's Treasure
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2016-05-14 10:57
This example demonstrates King Tut's treasure through dilation. Key mathematical concepts include dilation, polygons, and geometric construction. It uses Segment, Dilate, Polygon, and other GeoGebra commands. Suitable for middle school and above students to learn about dilation and geometric construction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(C, B) → g
  3. Segment(D, C) → h
  4. Segment(D, A) → i
  5. Segment(A, C) → j
  6. Segment(D, E) → k
  7. Segment(E, B) → l
  8. Segment(E, A) → m
  9. Dilate(D, 2, O) → D'
  10. Dilate(A, 2, O) → A'
  11. Segment(D', A') → i'
  12. Dilate(E, 2, O) → E'
  13. Dilate(A, 2, O) → A'_1
  14. Segment(E', A'_1) → m'
  15. Dilate(D, 2, O) → D'_1
  16. Dilate(E, 2, O) → E'_1
  17. Segment(D'_1, E'_1) → k'
  18. Dilate(D, 2, O) → D'_2
  19. Dilate(C, 2, O) → C'
  20. Segment(D'_2, C') → h'
  21. Dilate(E, 2, O) → E'_2
  22. Dilate(B, 2, O) → B'
  23. Segment(E'_2, B') → l'
  24. Dilate(A, 2, O) → A'_2
  25. Dilate(C, 2, O) → C'_1
  26. Segment(A'_2, C'_1) → j'
  27. Dilate(A, 2, O) → A'_3
  28. Dilate(B, 2, O) → B'_1
  29. Segment(A'_3, B'_1) → f'
  30. Dilate(C, 2, O) → C'_2
  31. Dilate(B, 2, O) → B'_2
  32. Segment(C'_2, B'_2) → g'
  33. Polygon(A', D', C', B') → poly1, a', d', c', b'
  34. Polygon(A, D, C, B) → poly2, a, d, c, b