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Calculating Area of a Parallelogram by Beverly Heigre

Calculating Area of a Parallelogram by Beverly Heigre
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2015-12-03 00:33
PolygonVectorGeometric Construction
In collections Area Formulas
This example demonstrates how to calculate the area of a parallelogram using vector methods. Key math concepts include vectors, translation, angles, and triangle area formulas. Construction involves commands like Polygon, Point, Vector, Translate, Angle, Segment to create the parallelogram and auxiliary segments. Suitable for middle school and above students learning parallelogram properties and area calculation.

GeoGebra Commands & Parameters

  1. Polygon(A, D, C, E) → poly2, a_1, d, a, h
  2. Point(Circle[A, show]) → F
  3. Vector(A, F) → u
  4. Translate(A, u) → A'
  5. Translate(E, u) → E'
  6. Translate(B, u) → B'
  7. Polygon(A', E', B') → poly1', b', a', e'
  8. Angle(C, E, A) → α
  9. Segment(A, B) → a_2
  10. Segment(B, E) → b