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Investigation of Rhombus Diagonals

Investigation of Rhombus Diagonals
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2016-10-03 07:36
PolygonCoordinate GeometryGeometric Construction
This example demonstrates the properties of the diagonals of a rhombus. Key mathematical concepts include similar triangles and right triangles. Using Segment and Rotate commands in GeoGebra, the intersection properties of the diagonals are illustrated. Suitable for middle school and above students to learn geometric construction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Rotate(A, 90°, A) → A'
  3. Rotate(A, 90°, A) → A'_1
  4. Rotate(A, 90°, A) → A'_2
  5. Rotate(A, 90°, A) → A'_3
  6. Rotate(A, 100°, B) → A'_4
  7. Rotate(B, 100°, B) → B'
  8. Segment(A'_4, B') → f'
  9. Rotate(B, 80°, A'_4) → B'_1
  10. Segment(B'_1, A'_4) → g
  11. Segment(B'_1, A) → h