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SAS Triangle Congruence Exploration

SAS Triangle Congruence Exploration
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2019-09-28 00:10
TriangleAngleGeometric Construction
In collections Exploring Triangle Congruence
This example demonstrates how to explore triangle congruence using the Side-Angle-Side (SAS) criterion. It involves core math concepts like triangle congruence theorems. Construction uses commands such as Ray, Angle, Circle, Point, Intersect, Polygon, and Segment in GeoGebra. Suitable for middle school and above students to understand and verify geometric theorems, or for mathematical teaching demonstrations.

GeoGebra Commands & Parameters

  1. Ray(B, C) → a
  2. Ray(B, A) → b
  3. Angle(A, B, C) → α
  4. Circle(B', Segment[C, B]) → c
  5. Circle(B', Segment[A, B]) → d
  6. Point(c) → C'
  7. Circle(C', Segment[A, C]) → e
  8. Intersect(d, e, 2) → A'
  9. Ray(B', C') → f
  10. Ray(B', A') → g
  11. Polygon(B, C, A) → poly1, c_1, a_1, b_1
  12. Segment(B', C') → h
  13. Segment(B', A') → i
  14. Segment(C', C'') → j
  15. Angle(B, C, A) → β
  16. Angle(C, A, B) → γ
  17. Angle(A', B', C') → δ
  18. Angle(B', C', C'') → ε
  19. Segment(C'', A') → k
  20. Circle(C'', 1) → p
  21. Circle(A', 1) → q
  22. Segment(C'', B') → l
  23. Intersect(p, l, 1) → E
  24. Segment(C'', E) → r
  25. Angle(C', C'', B') → ζ