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Exploring Area of a Parallelogram

Exploring Area of a Parallelogram
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2016-03-11 08:25
PolygonVectorCoordinate GeometryGeometric Construction
This example demonstrates how to dynamically calculate the area of a parallelogram. Key math concepts include parallelogram properties, base and height, and vector operations. Construction highlights the use of commands/objects like Line, Point, Vector, Translate, Intersect, Polygon, Distance, OrthogonalLine, Segment in GeoGebra. Suitable for middle school and above students to understand the parallelogram area formula and its derivation.

GeoGebra Commands & Parameters

  1. Line(A, xAxis) → a
  2. Point(a) → B
  3. Point(xAxis) → C
  4. Line(B, C) → b
  5. Point(xAxis) → E
  6. Vector(C, E) → u
  7. Translate(b, u) → b'
  8. Intersect(a, b') → F
  9. Polygon(B, C, E, F) → poly1, b_1, c, e, f
  10. Distance(C, E) → distanceCE
  11. OrthogonalLine(B, xAxis) → d
  12. Intersect(d, xAxis) → D
  13. Segment(B, D) → g
  14. Distance(B, F) → distanceBF
  15. Distance(B, D) → distanceBD