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Rhombus and Rectangle

Rhombus and Rectangle
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2016-02-18 21:44
TrigonometryCoordinate GeometryGeometric Construction
This example illustrates the geometric properties of a rhombus and a rectangle. It involves core mathematical concepts such as area calculation, arithmetic operations, and trigonometry. Using GeoGebra commands like Circle, Segment, Point, Mirror, OrthogonalLine, and Intersect, one can construct a rhombus and a rectangle. Suitable for students at the junior high school level and above to learn geometric construction and related concepts.

GeoGebra Commands & Parameters

  1. Circle(C, E) → c
  2. Segment(C, E) → a
  3. Point(c) → A
  4. Segment(C, A) → b
  5. Segment(A, E) → d
  6. Mirror(C, d) → C'
  7. Segment(A, C') → e
  8. Segment(C', E) → f
  9. Segment(B, D) → g
  10. OrthogonalLine(B, g) → h
  11. OrthogonalLine(D, g) → i
  12. Point(h) → F
  13. OrthogonalLine(F, h) → j
  14. Intersect(i, j) → G
  15. Segment(B, F) → k
  16. Segment(F, G) → l
  17. Segment(G, D) → m