Dynamic Demonstration of Rectangle Area and Perimeter

Dynamic Demonstration of Rectangle Area and Perimeter
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2017-07-16 18:35
This interactive example demonstrates the dynamic calculation of rectangle area and perimeter. Key mathematical concepts involve rectangle properties, distance formulas, and polygon area. Construction utilizes GeoGebra commands including Segment for sides, OrthogonalLine for right angles, Point and Intersect for vertex positioning, Polygon to define the shape, Distance to measure lengths, Perimeter for total boundary, and Text objects to display real-time values. It is ideal for middle school geometry instruction, classroom demonstrations, or independent study of rectangular properties.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. OrthogonalLine(A, f) → g
  3. OrthogonalLine(B, f) → h
  4. Point(g) → D
  5. OrthogonalLine(D, h) → i
  6. Intersect(i, h) → C
  7. Segment(D, C) → k
  8. Segment(C, B) → l
  9. Angle(C, B, A) → α
  10. Angle(B, A, D) → β
  11. Angle(A, D, C) → γ
  12. Angle(D, C, B) → δ
  13. Polygon(D, A, B, C) → Rectangle, d, a, b, c
  14. Distance(D, C) → distanceDC
  15. Distance(C, B) → distanceCB
  16. Distance(B, A) → distanceBA
  17. Distance(A, D) → distanceAD
  18. Perimeter(Rectangle) → perimeterRectangle
  19. PointIn(Rectangle) → PointRectangle