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ASA Triangle Congruence Exploration by Julian Ornelas

ASA Triangle Congruence Exploration by Julian Ornelas
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2017-10-27 12:04
TriangleAngleGeometric Construction
In collections D.G. 4.4 & 4.5: Triangle Congruence Shortcuts
This applet helps students explore the angle-side-angle criterion for triangle congruence. Key mathematical concepts include the conditions for triangle congruence. It is constructed using GeoGebra commands such as Polygon, Circle, Point, Segment, etc. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Circle(A', Segment[B, A]) → d
  3. Point(d) → B'
  4. Segment(A', B') → e
  5. Point(c) → D
  6. Point(b) → E
  7. Circle(A', Segment[E, A]) → f
  8. Circle(A', Segment[D, A]) → g
  9. Intersect(g, e, 1) → F
  10. Circle(F, Segment[E, D]) → h
  11. Intersect(f, h, 1) → G
  12. Ray(A', G) → i
  13. Point(i) → C'_2
  14. Segment(A', C'_2) → j
  15. Point(a) → I
  16. Point(c) → J
  17. Circle(B', Segment[I, B]) → k
  18. Circle(B', Segment[J, B]) → p
  19. Intersect(p, e, 1) → K
  20. Circle(K, Segment[I, J]) → q
  21. Intersect(k, q, 2) → L
  22. Ray(B', L) → l
  23. Point(l) → C'_1
  24. Segment(C'_1, B') → m
  25. Intersect(j, m) → C'
  26. Angle(B, A, C) → α
  27. Angle(A, C, B) → β
  28. Angle(C, B, A) → γ
  29. Angle(A', C', B') → ε
  30. Distance(c, b) → n
  31. Distance(B', A') → distanceB'A'
  32. Midpoint(B', A') →
  33. Distance(A', C') → distanceA'C'
  34. Midpoint(A', C') →
  35. Distance(C', B') → distanceC'B'
  36. Midpoint(C', B') →
  37. Angle(C'_1, B', A') → δ
  38. Angle(B', A', C'_2) → ζ
  39. Polygon(A', B', C') → poly2, c', a', b'