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Sides of Parallelograms

Sides of Parallelograms
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2017-11-23 00:20
Coordinate GeometryGeometric Construction
This example demonstrates the relationships between the sides and diagonals of a parallelogram. It involves core mathematical concepts such as parallelogram properties, fractions, rotation, quadratic functions, calculus, and dilation. The construction uses GeoGebra commands like Segment, Line, Intersect, Distance, and Midpoint. It is suitable for high school mathematics education, exploring the connection between geometric properties and algebraic expressions of parallelograms.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Line(C, f) → g
  3. Segment(A, C) → h
  4. Line(B, h) → i
  5. Intersect(g, i) → D
  6. Segment(B, D) → j
  7. Segment(C, D) → k
  8. Distance(B, D) → distanceBD
  9. Midpoint(B, D) →
  10. Distance(C, D) → distanceCD
  11. Midpoint(C, D) →
  12. Distance(A, C) → distanceAC
  13. Midpoint(A, C) →
  14. Distance(A, B) → distanceAB
  15. Midpoint(A, B) →