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SSS Proof - ST

SSS Proof - ST
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2016-08-30 02:09
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the SSS (Side-Side-Side) congruence theorem. Key mathematical concepts include the criteria for triangle congruence. Using GeoGebra commands such as Polygon, Angle, Ray, Segment, etc., the construction of triangles and the demonstration of SSS congruence are shown. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Polygon(D, E, F) → poly2, f, d, e
  3. Angle(F, D, E) → δ
  4. Ray(B, E') → g
  5. Angle(E', B, C) → δ'
  6. Segment(B, E') → h
  7. Segment(E', C) → i
  8. Segment(A, E') → j
  9. Angle(B, A, E') → α
  10. Angle(A, E', B) → β_1
  11. Angle(E', A, C) → γ_1
  12. Angle(C, E', A) → ε
  13. Point(g) → X
  14. Angle(C, B, A) → β
  15. Angle(A, C, B) → γ
  16. OrthogonalLine(P, x = 0) → p
  17. Circle(P, 0.5) → c_1
  18. Intersect(c_1, p, 2) → Q
  19. Circle(P, time / 700) → c_2
  20. OrthogonalLine(P, y = 0) → q
  21. Intersect(c_2, q, 2) → P_1
  22. OrthogonalLine(P_1, q) → q_1
  23. OrthogonalLine(Q, p) → p_1
  24. Intersect(p_1, q_1) → Q_1
  25. Segment(P_2, Q_2) → pq_1
  26. Segment(P, P_2) → pp_1
  27. Segment(Q, Q_2) → qq_1
  28. Segment(P, Q) → pq
  29. Polygon(P, Q, Q_1, P_1) → gauge, p_2, q_2, q_3, p_3