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AAA Triangle Congruence Demo

AAA Triangle Congruence Demo
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2015-12-01 02:09
TriangleAngleGeometric Construction
This example demonstrates whether triangles with three equal angles are congruent. It involves core math concepts like congruence, rotation, plane geometry, and similar triangles. Construction highlights include using commands like Polygon, Point, Circle, Intersect, Ray, and Angle in GeoGebra. Suitable for high school geometry education or for enthusiasts studying triangle congruence criteria.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Point(c) → D
  3. Circle(A, D) → d
  4. Intersect(d, b, 1) → E
  5. Circle(D, E) → e
  6. Circle(A', Radius[d]) → f
  7. Point(f) → G
  8. Circle(G, Radius[e]) → g
  9. Ray(A', G) → h
  10. Intersect(f, g, 1) → H
  11. Ray(A', H) → i
  12. Point(i) → B'
  13. Point(c) → I
  14. Circle(B, I) → k
  15. Intersect(k, a, 1) → J
  16. Circle(I, J) → p
  17. Circle(B', Radius[k]) → q
  18. Intersect(q, i, 1) → K
  19. Circle(K, Radius[p]) → r
  20. Intersect(q, r, 1) → L
  21. Ray(B', L) → j
  22. Intersect(h, j) → C'
  23. Angle(A, B, C) → α
  24. Angle(B, C, A) → β
  25. Angle(C, A, B) → γ
  26. Angle(C', A', B') → δ
  27. Angle(A', B', C') → ε
  28. Angle(B', C', A') → ζ