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Exploring SAS Congruence by jroe

Exploring SAS Congruence by jroe
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2012-02-27 07:59
TriangleAngleGeometric Construction
In collections Similarity and Congruence Year 8 Pedagogies in Practice
This example allows students to dynamically test whether SAS (Side-Angle-Side) criterion guarantees triangle congruence. It involves core concepts like triangle congruence, geometric transformations, and the relationship between angles and sides. Constructed using GeoGebra commands such as Point, Segment, Ray, Angle, Rotate, and Polygon, it is suitable for middle school and above to understand geometric proofs and transformations in mathematics.

GeoGebra Commands & Parameters

  1. Point(Circle[A, AB]) → B
  2. Segment(A, B) → a
  3. Ray(A, B) → b
  4. Segment(A, B) → e
  5. Point(Circle[A, 5]) → F
  6. Segment(A, F) → d
  7. Angle(F, A, B) → β
  8. Point(Circle[A, AC]) → D
  9. Segment(A, D) → c
  10. Rotate(D, Angle_A + β, A) → C
  11. Segment(A, C) → f
  12. Segment(A, B) → g
  13. Angle(B, A, C) → α
  14. Segment(B, C') → h
  15. Polygon(C, B, A) → poly1, a_1, c_1, b_1
  16. Angle(A, C, B) → γ
  17. Angle(C, B, A) → δ
  18. Segment(C, C') → i
  19. Segment(C', B) → j