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SAS Triangle Congruence

SAS Triangle Congruence
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2019-04-09 00:24
TriangleAngleGeometric Construction
This example demonstrates how to construct congruent triangles by given two sides and the included angle. It involves core math concepts like triangle congruence criteria (SAS), geometric construction, and the relationship between angles and sides. Key GeoGebra commands used include Circle, Point, Ray, Rotate, Intersect, Angle, Vector, and Segment for the construction. Suitable for middle school students and above learning triangle congruence theorems and geometric construction skills.

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