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Investigating Equilateral and Isosceles Triangles by ILC Curriculum

Investigating Equilateral and Isosceles Triangles by ILC Curriculum
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2016-10-27 21:48
TrianglePolygonAngleSlider Animation
This example demonstrates the geometric properties and relationships of equilateral and isosceles triangles. It involves core concepts like triangle classification, side-angle relationships, geometric transformations, scatter plots, polygon construction, and polynomial functions. Key GeoGebra commands used include Circle, Point, Polygon, Distance, Segment, and Angle. Suitable for middle school and above mathematics education for visual understanding and exploration.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c_2
  2. Point(c_2) → C
  3. Polygon(A, B, C) → poly1, c_1, a_1, b_1
  4. Distance(A, B) → distanceAB
  5. Distance(A, C) → distanceAC
  6. Distance(c_1, b_1) → d_1
  7. Polygon(G, H, 3) → poly2, f, g, h, I
  8. Segment(H, G) → i
  9. Segment(H, I) → j
  10. Segment(I, G) → k
  11. Angle(H, G, I) → α
  12. Angle(I, H, G) → β
  13. Angle(G, I, H) → γ
  14. Angle(B, A, C) → δ
  15. Angle(A, C, B) → ε
  16. Angle(C, B, A) → ζ