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AAS Congruence Step 2

AAS Congruence Step 2
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2016-01-22 07:21
TriangleAngleGeometric Construction
This example demonstrates the second step of AAS congruence. The key mathematical concept is triangle congruence. Using GeoGebra commands such as Polygon, Angle, Ray, Rotate, Circle, and Intersect, two triangles are constructed and the proof of AAS congruence is shown through rotation and intersection. Suitable for junior high school geometry education.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Angle(C, A, B) → α
  3. Angle(A, B, C) → β
  4. Ray(A', D) → d
  5. Rotate(A', α, A') → A''
  6. Rotate(D, α, A') → D'
  7. Ray(A'', D') → d'
  8. Circle(A', c) → e
  9. Intersect(e, d', 1) → B'
  10. Rotate(A', β, B') → A''_1
  11. Ray(B', A''_1) → f
  12. Intersect(d, f) → C'
  13. Polygon(A', B', C') → poly2, c', a', b'
  14. Angle(C', A', B') → α'
  15. Angle(A', B', C') → β'
  16. Angle(B, C, A) → γ
  17. Angle(B', C', A') → γ'