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Exploring SAS Congruence Theorem

Exploring SAS Congruence Theorem
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2019-11-28 00:39
TriangleAngleGeometric Construction
This example demonstrates the concept of triangle congruence using the SAS postulate through interactive exploration. It involves core mathematical concepts such as triangle congruence, side-angle-side criterion, and geometric transformations. The construction utilizes GeoGebra commands like Point, Segment, Ray, Angle, Rotate, and Polygon. Ideal for middle school and above, it serves as an educational tool for understanding and applying the SAS theorem in geometry.

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