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Rhombus with Side 6 and Altitude 4

Rhombus with Side 6 and Altitude 4
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2017-12-31 14:50
PolygonCoordinate GeometryGeometric Construction
This example demonstrates a rhombus with a side length of 6 and an altitude of 4. Key mathematical concepts include the properties of a rhombus and geometric construction. Using GeoGebra commands such as Point, Intersect, LineBisector, Segment, Circle, and OrthogonalLine, the rhombus can be constructed. Suitable for middle school and above students to learn about the properties of a rhombus and geometric construction.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Intersect(xAxis, yAxis) → B
  3. LineBisector(A, B) → f
  4. Segment(A, B) → g
  5. Intersect(f, g) → M
  6. Circle(M, 4) → c
  7. Intersect(c, f, 2) → N
  8. OrthogonalLine(N, f) → h
  9. Point(h) → D
  10. Segment(B, C) → i
  11. Segment(D, A) → j
  12. Segment(C, D) → k
  13. Segment(A, C) → l
  14. Segment(B, D) → m
  15. Angle(B, A, D) → α