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Linear Functions and Geometric Construction Exploration

Linear Functions and Geometric Construction Exploration
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2015-10-29 23:46
TrianglePolygonAngleFunctionGeometric Construction
In collections Transformations and triangle congruence
This example demonstrates the connection between linear functions and geometric figures like right triangles, polygons, etc., using GeoGebra. Key math concepts include linear functions, roots, LCM and GCD, parallelograms, angles, distances, etc. Construction highlights involve commands and objects such as Polygon, Intersect, Segment, Angle, Distance, Point. Suitable for high school mathematics teaching, focusing on the integration of geometric construction and function properties for exploratory learning.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Intersect(xAxis, yAxis) → D_1
  3. Segment(E, D) → d
  4. Segment(E, H) → e
  5. Segment(D, H) → f
  6. Angle(B, A, C) → α
  7. Angle(C, B, A) → β
  8. Angle(A, C, B) → γ
  9. Distance(b, c) → g
  10. Distance(d, a) → h
  11. Angle(H, E, D) → δ
  12. Angle(E, D, H) → ε
  13. Point(e) → E_1
  14. Point(f) → G