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AAS Congruence Demonstration

AAS Congruence Demonstration
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2017-02-17 11:24
TriangleAngleGeometric Construction
This example dynamically demonstrates the AAS (Angle-Angle-Side) congruence theorem for triangles. It involves core math concepts like triangle congruence criteria, angle measurement, and geometric transformations. GeoGebra commands and objects used include Segment, Circle, Point, Angle, Rotate, Line, and Intersect. Suitable for high school mathematics teaching and student understanding of geometric proofs and transformations.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Segment(C, A) → h
  4. Circle(B, A) → c
  5. Circle(D, f) → d
  6. Point(d) → E
  7. Angle(A, B, C) → α
  8. Circle(B, C) → e
  9. Circle(D, g) → k
  10. Segment(D, E) → j
  11. Rotate(E, α, D) → E'
  12. Angle(E, D, E') → β
  13. Line(D, E') → i
  14. Intersect(k, i, 2) → F
  15. Segment(D, F) → l
  16. Segment(F, E) → m
  17. Segment(A, B) → n
  18. Segment(D, E) → p
  19. Segment(E, F) → q
  20. Segment(F, D) → r
  21. Segment(B, C) → s
  22. Segment(C, A) → t
  23. Angle(B, C, A) → γ
  24. Angle(D, F, E) → δ