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Figure Symmetry

Figure Symmetry
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2016-09-05 00:49
Probability & StatisticsTransformationGeometric Construction
This example demonstrates figure symmetry. Key mathematical concepts include symmetry, perimeter, translation, and random variables. It uses GeoGebra commands such as Line, OrthogonalLine, Point, Segment, Intersect, etc., for geometric construction. Suitable for middle school students learning symmetry and geometric transformations.

GeoGebra Commands & Parameters

  1. Line(A_1, B) → f
  2. OrthogonalLine(B, f) → g
  3. Point(g) → C_1
  4. OrthogonalLine(C_1, g) → h
  5. OrthogonalLine(A_1, h) → i
  6. Segment(A_1, C_1) → j
  7. Intersect(i, h) → D
  8. Segment(B, D) → k
  9. Intersect(j, k) → C
  10. Circle(C, B) → c
  11. Point(f) → F
  12. Circle(C, F) → e
  13. Circle(F, B) → p
  14. Intersect(f, g) → L
  15. Intersect(f, g) → N
  16. Intersect(e, f) → Q, R
  17. OrthogonalLine(R, f) → m
  18. OrthogonalLine(F, f) → n
  19. Intersect(n, g) → Z
  20. Intersect(c, m) → G, H
  21. Intersect(c, n) → I, J
  22. Line(H, f) → l
  23. Line(G, h) → q
  24. Intersect(i, l) → K
  25. Intersect(n, h) → M
  26. Intersect(g, q) → O
  27. Polygon(R, H, K, D, M, I, O, B) → poly1, r, h_1, k_1, d, m_1, i_1, o, b
  28. Point(e) → A
  29. Line(A, C) → s