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Isosceles Triangle and Locus Demo

Isosceles Triangle and Locus Demo
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2017-02-12 02:25
TriangleVectorCoordinate GeometryGeometric Construction
In collections Mapping Diagrams: From AB to C&DE, Resource
This example demonstrates the dynamic construction of isosceles triangles and the locus of their vertices. It involves core concepts like plane figures, ratios, line segments, and isosceles triangle properties. Constructed using commands such as Point, Vector, Segment, Textfield, ImplicitCurve, and Sequence. Suitable for high school mathematics education to understand triangle properties and locus equations.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A_1
  2. Vector(A_1, B) → u
  3. Segment((0, a_2), (0, 5)) → e
  4. Textfield(f_1) → inputBox1
  5. Textfield(f_2) → inputBox2
  6. Textfield(f_3) → inputBox3
  7. ImplicitCurve(g(x, y)) → h
  8. Vector(B, E) → v
  9. Segment((0, a_1), (0, Min[r, a_2])) → d
  10. Segment((0, (-r)), (0, Min[r, a_1])) → c
  11. Sequence(Vector[(0, k), (2, f(k))], k, (-r), r, r / n) → list1
  12. Sequence((k, f(k)), k, (-r), r, r / n) → list2
  13. Textfield(g) → inputBox4
  14. Textfield(g) → inputBox5
  15. Textfield(f_1) → inputBox6
  16. Textfield(f_2) → inputBox7