Animated Triangle Construction

Animated Triangle Construction
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2017-08-20 23:17
This example demonstrates the animated construction of a triangle. It involves core mathematical concepts such as vectors, linear equations, geometric construction, and angles. The construction utilizes GeoGebra commands and objects like Vector, Translate, Segment, Rotate, Circle, CircleArc, and Intersect. Suitable for middle school mathematics education, helping students understand triangle construction and geometric transformations.

GeoGebra Commands & Parameters

  1. Vector(P, Q) → u
  2. Translate(P, Vector[(dd * u)]) → P'
  3. Segment(P, P') → f
  4. Rotate(C, (AA * t), B) → C1
  5. Circle(B, a) → c1
  6. CircleArc(B, C, C1) → d
  7. Segment(B, B') → g
  8. Circle(B, c) → c2
  9. Circle(C, b) → c3
  10. Intersect(c3, c2) → A_1, A, ,
  11. Intersect(c2, g) → D,
  12. Rotate(D, (BB * t), B) → D'
  13. CircleArc(B, D, D') → k
  14. Intersect(c3, g) → E,
  15. Rotate(E, (CC * t), C) → E'
  16. CircleArc(C, E, E') → p
  17. Translate(A, vb) → A'
  18. Translate(A, vc) → A'_1
  19. Segment(A, A') → i
  20. Segment(A, A'_1) → j