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Do Rhombus Diagonals Have Special Properties?

Do Rhombus Diagonals Have Special Properties?
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2015-11-05 21:52
PolygonAngleGeometric Construction
This example allows students to move the vertices of a quadrilateral so that the diagonals are perpendicular and bisect each other, discovering that the quadrilateral is a rhombus. Key mathematical concepts include properties of rhombuses, medians, and perpendicular lines. GeoGebra commands used include Segment, Intersect, and Angle. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(B, C) → b
  3. Segment(C, D) → c
  4. Segment(D, A) → d
  5. Segment(A, C) → e
  6. Segment(D, B) → f
  7. Intersect(e, f) → E
  8. Segment(A, E) → g
  9. Segment(E, C) → h
  10. Segment(B, E) → i
  11. Segment(E, D) → j
  12. Angle(B, E, A) → α