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SAS Triangle Congruence Criterion Demo

SAS Triangle Congruence Criterion Demo
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2015-06-17 21:08
TriangleAngleGeometric Construction
This example dynamically demonstrates the SAS (Side-Angle-Side) Triangle Congruence Criterion. It involves core math concepts like triangle congruence, angle measurement, and vector operations. GeoGebra commands and objects used include Polygon, Angle, Line, Mirror, Vector, Translate, and Rotate. Ideal for high school mathematics education, helping students visually grasp geometric proofs and spatial transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Angle(C, A, B) → α
  3. Line(D, E) → d
  4. Mirror(A, d) → R
  5. Mirror(B, d) → S
  6. Mirror(C, d) → T
  7. Polygon(R, S, T) → poly1', c', a', b'
  8. Angle(S, R, T) → β
  9. Vector(T, F) → u
  10. Translate(R, u) → R'
  11. Translate(S, u) → S'
  12. Translate(T, u) → T'
  13. Polygon(R', S', T') → poly1'', t', r', s'
  14. Rotate(R', (-γ), C) → R''
  15. Rotate(S', (-γ), C) → S''
  16. Rotate(T', (-γ), C) → T''
  17. Polygon(R'', S'', T'') → poly1''', t'', r'', s''
  18. Angle(S', R', T') → δ
  19. Angle(S'', R'', T'') → ε

AI Drawing Prompt Reference

Draw a triangle with labeled side and angle, then create its symmetric image across a line, and further construct the symmetric triangle. Finally, translate and rotate the symmetric triangle along the vector of the side, demonstrating the SAS triangle congruence criterion dynamically.
The prompt above was compiled from the original drawing commands and is for reference only.