MathPlotAI Logo MathPlotAI

Symmetry Design

Symmetry Design
Loading the math board and drawing, please wait…
2018-02-23 01:13
TransformationGeometric Construction
This example demonstrates the geometric construction of a symmetric design. It involves key mathematical concepts such as symmetry and continuity. Using GeoGebra commands like Point, Polygon, Intersect, Rotate, and Segment, a symmetric figure can be constructed. Suitable for high school geometry education, it helps students understand the application of symmetry in geometry.

GeoGebra Commands & Parameters

  1. Point(yAxis) → B
  2. Polygon(A, B, C) → t1, c, a, b
  3. Polygon(D, E, F) → t2, f, d, e
  4. Intersect(xAxis, yAxis) → G
  5. Rotate(A, (-(90°)), G) → A'
  6. Rotate(B, (-(90°)), G) → B'
  7. Rotate(C, (-(90°)), G) → C'
  8. Polygon(A', B', C') → t1', c', a', b'
  9. Rotate(D, (-(90°)), G) → D'
  10. Rotate(E, (-(90°)), G) → E'
  11. Rotate(F, (-(90°)), G) → F'
  12. Polygon(D', E', F') → t2', f', d', e'
  13. Rotate(A', (-(90°)), G) → A''
  14. Rotate(B', (-(90°)), G) → B''
  15. Rotate(C', (-(90°)), G) → C''
  16. Polygon(A'', B'', C'') → t1'', c'', a'', b''
  17. Rotate(D', (-(90°)), G) → D''
  18. Rotate(E', (-(90°)), G) → E''
  19. Rotate(F', (-(90°)), G) → F''
  20. Polygon(D'', E'', F'') → t2'', f'', d'', e''
  21. Rotate(A'', (-(90°)), G) → A'''
  22. Rotate(B'', (-(90°)), G) → B'''
  23. Rotate(C'', (-(90°)), G) → C'''
  24. Polygon(A''', B''', C''') → t1''', c''', a''', b'''
  25. Rotate(D'', (-(90°)), G) → D'''
  26. Rotate(E'', (-(90°)), G) → E'''
  27. Rotate(F'', (-(90°)), G) → F'''
  28. Polygon(D''', E''', F''') → t2''', f''', d''', e'''
  29. Segment(H, I) → g
  30. Segment(J, K) → h
  31. Segment(J, I) → i
  32. Segment(I, K) → j
  33. Segment(K, H) → k
  34. Segment(H, J) → l