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SAS Congruence by Rabiya Mundol

SAS Congruence by Rabiya Mundol
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2016-04-22 01:14
TriangleAngleTransformationGeometric Construction
This example demonstrates the SAS (Side-Angle-Side) congruence theorem. It involves the core mathematical concept of triangle congruence. Using GeoGebra commands such as Circle, Point, Rotate, Angle, Ray, Intersect, and Polygon, it constructs two triangles that satisfy the SAS condition. Suitable for middle school and above students to learn the methods of triangle congruence.

GeoGebra Commands & Parameters

  1. Circle(A, a) → c
  2. Point(c) → B
  3. Rotate(B, α, A) → B'
  4. Angle(B, A, B') → β
  5. Ray(A, B') → d
  6. Circle(A, b) → e
  7. Intersect(e, d) → C,
  8. Polygon(A, B, C) → poly1, c_1, a_1, b_1
  9. Dilate(P, f, A) → D'
  10. Vector(A, D') → u
  11. Translate(A, u) → A'
  12. Translate(B, u) → B'_1
  13. Translate(C, u) → C'
  14. Polygon(A', B'_1, C') → poly1', c', a', b'_1
  15. Circle(P, a) → g
  16. Point(g) → Q
  17. Rotate(Q, α, P) → E'
  18. Angle(Q, P, E') → γ
  19. Ray(P, E') → h
  20. Circle(P, b) → k
  21. Intersect(k, h) → R,
  22. Polygon(P, Q, R) → poly2, f_1, d_1, e_1
  23. Angle(B'_1, A', C') → δ