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Triangle Dynamic Demonstration

Triangle Dynamic Demonstration
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2019-03-10 11:36
TriangleTransformationGeometric Construction
This example dynamically demonstrates the properties and transformations of triangles, visually showcasing their geometric characteristics. It involves core concepts such as triangle area, angle relationships, geometric transformations, and analytical geometry. The construction utilizes GeoGebra commands and objects like Circle, Point, Segment, Rotate, Angle, Line, and Polygon. Suitable for high school mathematics teaching, it aids students in understanding geometric transformations and analytical geometry concepts.

GeoGebra Commands & Parameters

  1. Circle(D, m_0) → c_1
  2. Point(c_1) → E
  3. Segment(D, E) → m
  4. Point(c_1) → F
  5. Point(c_1) → B
  6. Segment(F, B) → b
  7. Rotate(B, (-(120°)), D) → A
  8. Segment(F, A) → a
  9. Rotate(B, 120°, D) → C
  10. Segment(F, C) → c
  11. Angle(B, D, C) → α
  12. Line(D, C) → g
  13. Rotate(B, 120°, D) → B'_1
  14. Angle(B, D, B'_1) → β
  15. Rotate(B, 120°, D) → B'_2
  16. Line(D, A) → h
  17. Polygon(B, A, C) → poly1, b', b_1, b'_3