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Convex vs. Concave Demonstration

Convex vs. Concave Demonstration
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2016-10-25 21:50
PolygonAngleGeometric Construction
In collections Unit 7: Polygons and Quadrilaterals Polygons & Angles Polygons & Angles Polygons & Angles ( s n attar) Parallel Lines and Planes Polygons & Angles Polygons & Angles Polygons & Angles Polygons & Angles Polygons & Angles
This example dynamically demonstrates convex and concave polygons with color coding for clear distinction. It involves core math concepts like polygon properties, angle measurement, and dynamic geometry. Constructed using Polygon, Segment, and Angle commands, it's suitable for high school mathematics teaching to understand convexity/concavity definitions and geometric properties.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Polygon(C, B, F, A) → poly2, c_1, b_1, f_1, a_1
  3. Segment(C, B) → g
  4. Segment(B, F) → h
  5. Segment(F, A) → i
  6. Segment(A, C) → j
  7. Angle(C, B, F) → α
  8. Angle(B, F, A) → β
  9. Angle(F, A, C) → γ
  10. Angle(A, C, B) → δ
  11. Polygon(C, B, I, J, A) → poly3, c_2, b_2, i_1, j_1, a_2
  12. Angle(C, B, I) → ε
  13. Angle(B, I, J) → ζ
  14. Angle(I, J, A) → η
  15. Angle(J, A, C) → θ
  16. Segment(C, B) → l
  17. Segment(B, I) → m
  18. Segment(I, J) → n
  19. Segment(J, A) → p
  20. Segment(A, C) → q
  21. Segment(C, B) → s
  22. Segment(B, A) → t
  23. Segment(A, C) → g_1
  24. Angle(C, B, A) → ι
  25. Angle(B, A, C) → κ
  26. Angle(A, C, B) → λ