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Kite and Rhombus Construction

Kite and Rhombus Construction
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2015-11-16 10:37
PolygonAngleGeometric Construction
This example demonstrates how to construct a kite and a rhombus by creating points, segments, and intersections. The core math concepts involved include polygons, symmetry, ratio of distances, and geometric construction. Key construction steps involve using GeoGebra commands/objects like Line, Segment, Intersect, Distance, and Midpoint. Suitable for high school mathematics education to understand the properties and construction methods of plane figures.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Line(C, a) → b
  3. Line(A, C) → c
  4. Line(B, D) → d
  5. Line(D, C) → e
  6. Segment(A, C) → f
  7. Segment(A, B) → g
  8. Segment(B, D) → h
  9. Segment(B, D) → i
  10. Segment(D, C) → j
  11. Segment(C, A) → k
  12. Segment(B, C) → l
  13. Segment(A, D) → m
  14. Intersect(l, m) → E
  15. Segment(B, E) → n
  16. Segment(E, C) → p
  17. Segment(A, E) → q
  18. Segment(E, D) → r
  19. Distance(E, B) → distanceEB
  20. Midpoint(E, B) →
  21. Distance(C, E) → distanceCE
  22. Midpoint(C, E) →
  23. Distance(A, E) → distanceAE
  24. Midpoint(A, E) →
  25. Distance(E, D) → distanceED
  26. Midpoint(E, D) →