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Parallelogram Theorem II

Parallelogram Theorem II
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2017-02-15 01:56
VectorFunctionCoordinate GeometryOptimizationGeometric Construction
In collections Parallelogram Lab
This example demonstrates the properties of a parallelogram and vector transformations. Key math concepts include vectors, linear functions, coordinate geometry, and geometric transformations. Construction involves commands like Segment, Vector, Translate, and Slope in GeoGebra to create and verify parallelograms through vector translation and slope calculations. Suitable for high school mathematics teaching, particularly in linear programming and optimization contexts.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Vector(C, D) → u
  3. Translate(A, u) → A'
  4. Translate(B, u) → B'
  5. Segment(A', B') → a'
  6. Slope(a) → m
  7. Slope(a') → m_1
  8. Segment(A, A') → f
  9. Segment(B, B') → g
  10. Slope(g) → m_2
  11. Slope(f) → m_3