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Rectangle Area Calculation by Ibrahim El Hage

Rectangle Area Calculation by Ibrahim El Hage
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2017-10-13 17:25
CirclePolygonGeometric Construction
In collections Quadrilaterals الرُباعيات
This example demonstrates how to prove the area formula of a rectangle through geometric construction and calculation. Key math concepts include geometric construction, triangle area, and polygon formation. GeoGebra commands/objects used in the construction summary are Translate, Rotate, Midpoint, Circle, Polygon, CircleArc, and Segment. Suitable for middle school students and above to learn geometric proofs and calculation methods.

GeoGebra Commands & Parameters

  1. Translate(D, Vector[(a4 * Vector[D, L])]) → D''
  2. Rotate(D, ((a1 * 90))°, E) → D'
  3. Midpoint(B, D') → G
  4. Circle(G, B) → c
  5. Polygon(B, E, D, C) → q1, b, e, d, c_1
  6. Translate(B, Vector[(a2 * Vector[B, D'])]) → B'
  7. Rotate(B, ((a3 * 360))°, G) → B''
  8. CircleArc(G, B, B'') → f
  9. Segment(D, D'') → h
  10. Segment(B, B') → i