MathPlotAI Logo MathPlotAI

Axial Symmetry by Claudio Martínez Gil

Axial Symmetry by Claudio Martínez Gil
Loading the math board and drawing, please wait…
2020-02-28 00:33
FunctionTransformationGeometric Construction
This example demonstrates the process of generating axial symmetric figures. Key mathematical concepts include axial symmetry transformation and geometric construction. Using GeoGebra commands such as Line, Polygon, Mirror, Segment, Intersect, etc., axial symmetric figures can be constructed. Suitable for students at junior high school level and above to learn about axial symmetry transformation and geometric construction.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Polygon(C, D, E, F, G) → polígono1, c, d, e, f, g
  3. Mirror(C, a) → C'
  4. Mirror(D, a) → D'
  5. Mirror(E, a) → E'
  6. Mirror(F, a) → F'
  7. Mirror(G, a) → G'
  8. Polygon(C', D', E', F', G') → polígono1', c', d', e', f', g'
  9. Segment(E, E') → b
  10. Segment(D, D') → h
  11. Segment(F, F') → i
  12. Segment(G, G') → j
  13. Segment(C, C') → k
  14. Intersect(h, a) → H
  15. Intersect(a, k) → I
  16. Intersect(a, i) → J
  17. Angle(D', H, B) → α
  18. Angle(C', I, B) → β
  19. Angle(F', J, B) → γ
  20. Midpoint(G, G') → K
  21. Angle(G', K, B) → δ
  22. Midpoint(b) → M
  23. Angle(E', M, B) → ε