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Deltoid1

Deltoid1
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2015-10-22 00:41
PolygonVectorGeometric Construction
This GeoGebra example demonstrates the properties of a deltoid (rhombus), particularly through the construction of a rhombus using equilateral triangles. It utilizes commands such as Line, Point, OrthogonalLine, Mirror, Segment, and Prove. Suitable for middle school and above students to learn about the geometric properties of a rhombus.

GeoGebra Commands & Parameters

  1. Line(A, B) → u
  2. Point(u) → C
  3. OrthogonalLine(C, u) → v
  4. Point(v) → D
  5. Mirror(D, u) → D'
  6. Segment(D, C) → a
  7. Segment(C, B) → b
  8. Segment(C, D') → c
  9. Segment(C, A) → d
  10. Segment(B, D) → e
  11. Segment(B, D') → f
  12. Segment(D', A) → g
  13. Segment(A, D) → h
  14. Prove((2 * (a^(2) + b^(2) + c^(2) + d^(2))) ≟ e^(2) + f^(2) + g^(2) + h^(2)) → i