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SAS Triangle Congruence Demo

SAS Triangle Congruence Demo
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2020-05-11 08:24
TriangleAngleGeometric Construction
In collections Triangle Congruence
This example demonstrates how to construct congruent triangles given two sides and the included angle. Core math concepts include triangle congruence criteria, geometric construction, angle measurement, and vector operations. Construction highlights involve GeoGebra commands such as Circle, Point, Ray, Rotate, Intersect, Angle, Vector, and Segment. Suitable for high school mathematics education to understand the SAS congruence theorem and geometric construction techniques.

GeoGebra Commands & Parameters

  1. Circle(A, 2) → k
  2. Circle(A, 0.8) → c
  3. Point(c) → B_1
  4. Ray(A, B_1) → l
  5. Rotate(B_1, 30°, A) → B'
  6. Ray(A, B') → i
  7. Intersect(k, i, 1) → B
  8. Angle(B_1, A, B') → α
  9. Circle(C_1, 0.8) → d
  10. Point(d) → D
  11. Rotate(D, 30°, C_1) → D'
  12. Angle(D, C_1, D') → β
  13. Vector(C_1, D') → w
  14. Vector(C_1, D) → a
  15. Circle(E, 2) → e
  16. Point(e) → F
  17. Segment(E, F) → f
  18. Circle(G, b) → g
  19. Point(g) → H
  20. Segment(G, H) → h
  21. Segment(A, B) → j
  22. Circle(A, b) → p
  23. Intersect(p, l, 1) → C
  24. Segment(A, C) → n
  25. Segment(C, B) → m
  26. Segment(H, F) → q
  27. Segment(E, H) → r