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Exploring SAS Congruence

Exploring SAS Congruence
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2015-11-12 09:12
TriangleAngleGeometric Construction
In collections Triangle Congruence Theorems
This example demonstrates the SAS congruence theorem through dynamic geometry, illustrating triangle congruence using side-angle-side criteria. Key math concepts include triangle congruence, SAS postulate, and geometric transformations. GeoGebra commands and objects used in construction are Point, Segment, Ray, Angle, Rotate, and Polygon. Suitable for high school students learning geometric proofs and teachers for instructional demonstrations.

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