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Rhombus Investigation

Rhombus Investigation
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2019-12-04 05:32
PolygonTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the geometric properties and dynamic variations of a rhombus, involving core concepts like symmetry, circles, unit circles, cosine functions, and coordinate geometry. It is constructed using GeoGebra commands such as Circle, Point, Segment, and Intersect. Suitable for high school mathematics education, exploring the relationship between the rhombus, circle, and trigonometric functions, enhancing understanding of geometric constructions in coordinate geometry.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(c) → C
  3. Segment(A, C) → f
  4. Segment(A, B) → g
  5. Circle(B, Segment[A, C]) → d
  6. Circle(C, f) → e
  7. Intersect(d, e, 2) → D
  8. Segment(C, D) → h
  9. Segment(D, B) → i
  10. Segment(A, D) → j
  11. Segment(C, B) → k
  12. Intersect(j, k) → E