SAS Congruence Demonstration by BALAKRISHNAIAH IRUVURU

SAS Congruence Demonstration by BALAKRISHNAIAH IRUVURU
Loading the math board and drawing, please wait…
2016-05-05 13:36
In collections Congruence of Triangles
This example dynamically demonstrates the SAS (Side-Angle-Side) congruence condition for triangles, visually illustrating the criteria for determining congruent triangles. Core mathematical concepts include triangle congruence, the SAS postulate, and geometric transformations. Construction highlights involve using GeoGebra commands such as points, segments, angles, rotation, rays, circles, and intersections to build and verify the SAS condition. Suitable for middle school and above students to enhance geometric proof understanding and spatial reasoning skills.

GeoGebra Commands & Parameters

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