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SSS Triangle Congruence Exploration by Julian Ornelas

SSS Triangle Congruence Exploration by Julian Ornelas
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2017-10-23 06:27
TriangleAngleGeometric Construction
In collections D.G. 4.4 & 4.5: Triangle Congruence Shortcuts
This applet allows students to explore and experiment with the Side-Side-Side (SSS) criterion for triangle congruence by changing the lengths of the triangle's sides. Key mathematical concepts include triangle congruence, angles, and segments. The construction uses GeoGebra commands such as Polygon, Circle, Point, etc. Suitable for middle school and above students to learn about geometric construction and triangle congruence.

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. Circle(A', Segment[C, A]) → f
  6. Point(f) → C'_1
  7. Segment(A', C'_1) → g
  8. Circle(B', Segment[C, B]) → h
  9. Point(h) → C'
  10. Segment(B', C') → i
  11. Angle(B', A', C'_1) → α
  12. Angle(C', B', A') → β
  13. Angle(C, A, B) → γ
  14. Angle(A, B, C) → δ
  15. Angle(B, C, A) → ε
  16. Angle(A', C', B') → ζ
  17. Angle(A', C'_1, B') → η
  18. Segment(C'_1, B') → j
  19. Segment(C', A') → k
  20. Point(k) → E
  21. Point(j) → F
  22. Segment(C', E) → l
  23. Segment(C'_1, F) → m
  24. Circle(C', 1) → p
  25. Intersect(p, k, 1) → D
  26. Segment(C', D) → n
  27. Circle(C'_1, 1) → q
  28. Intersect(j, m) → G
  29. Intersect(j, m) → H
  30. Intersect(q, j, 1) → I
  31. Segment(C'_1, I) → r
  32. Circle(A', C'_1) → s
  33. Ray(A', B') → t
  34. Intersect(s, t, 1) → J
  35. CircleArc(A', J, C'_1) → c_1
  36. Ray(B', A') → a_1
  37. Circle(B', C') → d_1
  38. Intersect(d_1, a_1, 1) → K
  39. CircleArc(B', C', K) → e_1