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GeoGebra Demonstration of Theorems 7.5 & 7.6

GeoGebra Demonstration of Theorems 7.5 & 7.6
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2015-01-04 00:11
TriangleCoordinate GeometryCalculusOptimizationGeometric Construction
This example dynamically demonstrates the application of Theorems 7.5 & 7.6 in straight lines and triangles. Key math concepts include line equations, triangle properties, optimization problems, and rational numbers. GeoGebra commands and objects used in construction are Polygon, Point, Line, Intersect, and Segment. Suitable for high school and above learners to visually understand geometric proofs and computational applications.

GeoGebra Commands & Parameters

  1. Polygon(C, A, D) → poly1, c, a, b
  2. Point(poly1) → B
  3. Line(B, b) → d
  4. Intersect(d, a) → E
  5. Segment(B, E) → e
  6. Segment(A, B) → f
  7. Segment(B, C) → g
  8. Segment(C, D) → h
  9. Segment(D, E) → i
  10. Segment(E, A) → j