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Triangle Congruence Discovery

Triangle Congruence Discovery
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2018-02-25 03:26
TriangleGeometric ConstructionSlider Animation
In collections Triangle Congruence Triangle Congruence
This example allows students to adjust side lengths and observe the formation of unique triangles, demonstrating the SSS condition for triangle congruence. It involves core concepts like geometric construction, using commands such as Point, Segment, Circle, Intersect, and Angle. Ideal for middle school and above, exploring triangle congruence and construction techniques.

GeoGebra Commands & Parameters

  1. Point(Circle[A, abs(AB)]) → B
  2. Segment(A, B) → b_2
  3. Circle(A, AC) → d
  4. Circle(B, BC) → e
  5. Intersect(d, e) → C, D, ,
  6. Segment(A, C) → f
  7. Segment(C, B) → g
  8. Segment(A, D) → h
  9. Segment(D, B) → i
  10. Angle(A, C, B) → α
  11. Angle(B, A, C) → β
  12. Angle(D, A, B) → γ
  13. Angle(C, B, A) → δ
  14. Angle(A, B, D) → ε
  15. Angle(B, D, A) → ζ
  16. Point(e) → C2
  17. Segment(B, C2) → j
  18. Point(d) → C1
  19. Segment(A, C1) → k
  20. Segment(C2, C1) → l
  21. Segment(C1, C) → m
  22. Segment(C1, D) → n