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Two Methods of Enlargement

Two Methods of Enlargement
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2014-09-22 23:08
PolygonAngleTransformation
This example demonstrates two methods of enlargement. It involves angles, quadrilaterals, and isosceles triangles. Using GeoGebra commands such as Polygon, Dilate, Ray, Vector, and Translate, the enlargement effect is constructed. Suitable for students at the junior high school level and above to learn about the concept of enlargement.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E, F) → poly1, a, b, c, d, e, f
  2. Dilate(A, ScaleFactor, O) → A'
  3. Dilate(B, ScaleFactor, O) → B'
  4. Dilate(C, ScaleFactor, O) → C'
  5. Dilate(D, ScaleFactor, O) → D'
  6. Dilate(E, ScaleFactor, O) → E'
  7. Dilate(F, ScaleFactor, O) → F'
  8. Polygon(A', B', C', D', E', F') → poly1', a', b', c', d', e', f'
  9. Ray(O, B) → g
  10. Ray(O, A) → h
  11. Vector(A, B) → u
  12. Vector(B, C) → v
  13. Vector(C, D) → w
  14. Vector(D, E) → z
  15. Vector(E, F) → j
  16. Vector(F, A) → l
  17. Translate(H, Vector[(ScaleFactor * u)]) → H'
  18. Translate(H', Vector[(ScaleFactor * v)]) → H''
  19. Vector(H', H'') → n
  20. Translate(H'', Vector[(ScaleFactor * w)]) → H'''
  21. Vector(H'', H''') → p
  22. Translate(H''', Vector[(ScaleFactor * z)]) → G
  23. Vector(H''', G) → q
  24. Translate(G, Vector[(ScaleFactor * j)]) → G'
  25. Vector(G, G') → r
  26. Translate(G', Vector[(ScaleFactor * l)]) → G''
  27. Vector(G', G'') → s
  28. Vector(H, H') → m
  29. Polygon(H, H', H'', H''', G, G') → poly2, h_1, h', h'', h''', g_1, g'

AI Drawing Prompt Reference

Draw a hexagon ABCDEF, then enlarge it centered at point O with a scaling factor to create a new hexagon A'B'C'D'E'F'. Next, draw rays from O to B and A, and generate vectors u, v, w, z, j, and l. Use these vectors to translate point H to H', H'', H''', G, G', and G''. Connect these points to form a new hexagon.
The prompt above was compiled from the original drawing commands and is for reference only.