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SSS Congruence Demonstration

SSS Congruence Demonstration
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2016-05-05 13:37
TriangleCoordinate GeometryGeometric Construction
In collections Congruence of Triangles
This example demonstrates the SSS (Side-Side-Side) congruence condition in triangles. It involves core mathematical concepts such as triangle congruence criteria, geometric construction, and coordinate geometry. The construction uses GeoGebra commands and objects like Point, Segment, Line, Circle, Intersect, and Angle. Suitable for high school mathematics education to understand and apply the triangle congruence theorem.

GeoGebra Commands & Parameters

  1. Point(Circle[A, n]) → B
  2. Segment(A, B) → f
  3. Segment(A, C) → h
  4. Segment(C, B) → g
  5. Line(D, f) → k
  6. Circle(D, Segment[A, B]) → c
  7. Intersect(c, k, 2) → E
  8. Line(D, h) → i
  9. Line(E, g) → j
  10. Intersect(i, j) → F
  11. Segment(D, E) → l
  12. Segment(F, D) → m
  13. Segment(E, F) → p
  14. Angle(B, A, C) → α
  15. Angle(A, B, C) → β
  16. Angle(B, C, A) → γ
  17. Angle(F, D, E) → δ
  18. Angle(D, E, F) → ε
  19. Angle(E, F, D) → ζ