ASA Congruence Demonstration by Maryanne Gocmen

ASA Congruence Demonstration by Maryanne Gocmen
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2017-11-14 21:44
This example demonstrates the Angle-Side-Angle (ASA) Congruence Theorem by dynamically showing that two triangles are congruent when two angles and the included side are equal. It involves core concepts like triangle congruence criteria, angle measurement, side length measurement, and rotation transformations. GeoGebra commands such as Point, Segment, Angle, Rotate, Ray, and Intersect are used to construct congruent triangles. Suitable for middle school and above students to understand geometric proofs and transformation applications.

GeoGebra Commands & Parameters

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