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What is Congruence (AAA)?

What is Congruence (AAA)?
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2019-04-18 23:03
PolygonTransformationGeometric Construction
This example demonstrates what congruence (AAA) means. Congruence refers to two figures being exactly the same in shape and size. Using GeoGebra commands like Polygon, Point, Circle, etc., it illustrates the concept of congruence. Suitable for junior high school geometry learning.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Point(c) → D
  3. Point(b) → E
  4. Point(c) → F
  5. Point(a) → G
  6. Point(a) → H
  7. Point(b) → I
  8. Circle(A', Segment[D, A]) → d
  9. Circle(A', Segment[E, A]) → e
  10. Point(d) → K
  11. Circle(K, Segment[E, D]) → f
  12. Intersect(e, f, 2) → L
  13. Ray(A', L) → g
  14. Point(g) → C'
  15. Circle(C', Segment[I, C]) → h
  16. Circle(C', Segment[H, C]) → k
  17. Intersect(h, g, 1) → N
  18. Circle(N, Segment[H, I]) → p
  19. Intersect(k, p, 2) → O
  20. Ray(C', O) → i
  21. Ray(A', K) → j
  22. Intersect(i, j) → B'
  23. Polygon(A', C', B') → poly2, p_1, j_1, m
  24. Angle(C, A, B) → α
  25. Angle(A, B, C) → β
  26. Angle(B, C, A) → γ
  27. Angle(A', B', C') → δ
  28. Angle(B', C', A') → ε
  29. Angle(C', A', B') → ζ