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Constructing Congruent Triangles

Constructing Congruent Triangles
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2019-04-09 23:27
TriangleAngleGeometric Construction
In collections Triangle Congruence
This example demonstrates how to construct congruent triangles given parts of a triangle. Key mathematical concepts include the properties and construction methods of congruent triangles. Using GeoGebra commands such as Circle, Point, Ray, Rotate, Intersect, students can understand and practice the construction of congruent triangles. Suitable for junior high school geometry learning.

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. Segment(A, B) → j
  16. Circle(A, b) → p
  17. Intersect(p, l, 1) → C
  18. Segment(A, C) → n
  19. Segment(C, B) → m
  20. Angle(A, B, C) → γ
  21. Circle(G, 0.8) → g
  22. Point(g) → H
  23. Vector(G, H) → u
  24. Rotate(H, γ, G) → H'
  25. Angle(H, G, H') → δ
  26. Vector(G, H') → v
  27. Ray(G, H') → g_1
  28. Angle(B, C, A) → η
  29. Circle(E, 0.8) → e
  30. Point(e) → F
  31. Rotate(F, η, E) → F'
  32. Angle(F, E, F') → ε
  33. Vector(E, F') → f
  34. Vector(E, F) → h
  35. Segment(G, E) → q
  36. Segment(E, C_1) → r
  37. Segment(C_1, G) → s