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Discovering Properties of Rhombuses

Discovering Properties of Rhombuses
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2020-01-21 03:43
PolygonTrigonometryCoordinate GeometryGeometric Construction
This example dynamically demonstrates the geometric properties of rhombuses, such as equal sides, perpendicular and bisecting diagonals. Core math concepts include geometric construction, trigonometry (cosine theorem), and coordinate geometry. It uses commands like Segment, Circle, Point, Intersect, and Polygon in GeoGebra. Suitable for high school mathematics teaching or for geometry enthusiasts to explore the characteristics and related mathematical principles of rhombuses.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Circle(A, f) → c
  3. Point(c) → C
  4. Segment(A, C) → g
  5. Circle(C, f) → d
  6. Circle(B, f) → e
  7. Intersect(d, e, 1) → D
  8. Polygon(A, C, D, B) → q1, a, c_1, d_1, b