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Swinging Gate A-S-S Triangles

Swinging Gate A-S-S Triangles
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2014-10-21 22:25
TriangleAngleGeometric Construction
This interactive sketch demonstrates the 'swinging gate' for triangle congruence, focusing on the A-S-S (Angle-Side-Angle) condition. It involves core math concepts like triangle congruence criteria, symmetry, and rotational transformations. The construction utilizes GeoGebra commands such as Point, Segment, Rotate, Ray, Circle, Intersect, and Angle. Ideal for high school mathematics education to visually understand triangle congruence conditions and their applications.

GeoGebra Commands & Parameters

  1. Point(Circle[A, abs(a)]) → B
  2. Segment(A, B) → c
  3. Point(Circle[C, abs(b)]) → D
  4. Segment(C, D) → d
  5. Rotate(B, α, A) → B'
  6. Ray(A, B') → e
  7. Circle(B, b) → f
  8. Intersect(f, e, 1) → E
  9. Intersect(f, e, 2) → F
  10. Segment(B, E) → g
  11. Segment(F, B) → h
  12. Segment(A, F) → i
  13. Angle(B, A, F) → β