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Properties of a Rhombus by ron

Properties of a Rhombus by ron
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2015-09-20 17:15
PolygonAngleGeometric ConstructionSlider Animation
This example demonstrates the geometric properties of a rhombus using an interactive applet. Key math concepts include polygons, angles, symmetry, and coordinate geometry. GeoGebra commands and objects used are Intersect, Line, Segment, Mirror, Polygon, and Angle. Suitable for middle school and above students to explore rhombus characteristics.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → D
  2. Line(D, A) → a
  3. Segment(D, A) → b
  4. Line(D, C_1) → c
  5. Mirror(yAxis, b) → yAxis'
  6. Segment(D, A) → d
  7. Mirror(D, c) → A'
  8. Mirror(A, c) → C
  9. Segment(A', C) → d'
  10. Line(C, A) → e
  11. Polygon(A, D, C) → poly1, b', b_1, a_1
  12. Mirror(A, a_1) → B'_1
  13. Mirror(D, a_1) → B
  14. Mirror(C, a_1) → B''
  15. Polygon(B'_1, B, B'') → poly1', b'', b'_1, a'_1
  16. Polygon(D, A, C_1, C) → poly2, a_2, b_2, c_1, b'_2
  17. Polygon(A, D, C, B) → poly3, b_3, a_3, b'_3, a'_2
  18. Polygon(D, A, B, C) → poly4, a_4, b_4, a'_3, b'_4
  19. Angle(C, D, A) → α
  20. Angle(D, A, B) → β
  21. Angle(A, B, C) → γ
  22. Angle(B, C, D) → δ
  23. Segment(D, B) → h
  24. Segment(A, C) → i