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Power of Super Symmetry

Power of Super Symmetry
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2019-04-19 14:51
TransformationGeometric Construction
This example demonstrates the impact and manifestation of super symmetry in geometric figures. Core math concepts include general quadrilateral, geometric distribution, geometric mean, symmetry, geometric transformations, intersection, parallelogram, orthocenter, etc. Construction highlights involve commands/objects like Circle, Line, Point, Intersect, Segment, LineBisector, Rotate, Polygon from GeoGebra. Suitable for high school and above learners to understand complex geometric transformations and symmetry principles.

GeoGebra Commands & Parameters

  1. Circle(A, a) → c
  2. Line(B, A) → f
  3. Line(C, A) → g
  4. Circle(A, b) → d
  5. Point(d) → J
  6. Circle(J, e) → p
  7. Point(p) → K_1
  8. Line(K_1, J) → m
  9. Intersect(p, m, 2) → L
  10. Segment(K_1, L) → l
  11. LineBisector(K_1, L) → n
  12. Point(c) → D
  13. Segment(D, A) → h
  14. Rotate(D, 120°, A) → F
  15. Segment(A, F) → i
  16. Rotate(F, 120°, A) → G
  17. Segment(A, G) → j
  18. Polygon(D, G, F) → t1, f_1, d_1, g_1
  19. Segment(L, G) → k
  20. Segment(L, D) → q
  21. Segment(L, F) → r
  22. Segment(K_1, G) → s
  23. Segment(K_1, D) → t
  24. Segment(K_1, F) → h_1