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Area of a Parallelogram by David Taub

Area of a Parallelogram by David Taub
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2017-04-11 20:45
PolygonCalculusGeometric Construction
This example demonstrates how to construct a parallelogram and calculate its area. The core math concepts involved include parallelogram, area formula, midpoint, rotation, and angle. It uses GeoGebra commands/objects such as Line, Point, Polygon, Midpoint, Circle, Rotate, and Angle. Suitable for high school mathematics teaching, helping students understand and apply the calculation method for the area of a parallelogram.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Line(C, f) → g
  3. Point(g) → D
  4. Polygon(A, B, D, C) → poly1, a, b, d, c
  5. Midpoint(D, B) → E
  6. Circle(E, D) → e
  7. Rotate(D, (-dubbla), E) → D'
  8. Angle(D', E, D) → β
  9. Rotate(B, (-dubbla), E) → B'
  10. Angle(B', E, B) → γ
  11. Circle(E, C) → h
  12. Rotate(C, (-dubbla), E) → C'
  13. Angle(C', E, C) → δ
  14. Circle(E, A) → k
  15. Rotate(A, (-dubbla), E) → A'
  16. Angle(A', E, A) → ε
  17. Polygon(B', A', C', D') → poly2, b', a', c', d'