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Open Middle: Building Rhombuses

Open Middle: Building Rhombuses
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2020-07-01 22:02
PolygonCoordinate GeometryGeometric Construction
This example demonstrates how to construct a rhombus using coordinates and explore its geometric properties. Core math concepts include coordinate geometry, polygons, rhombus characteristics, vectors, and functions. Construction highlights involve GeoGebra commands like PointIn, Polygon, Segment, Mode, and If. Suitable for high school mathematics teaching, focusing on analytical geometry and geometric construction practice.

GeoGebra Commands & Parameters

  1. PointIn(e) → A
  2. PointIn(e) → B
  3. PointIn(e) → C
  4. PointIn(e) → D
  5. Polygon(A, B, C, D) → q1, a_1, b_1, c_1, d_1
  6. Segment(A, B) → f
  7. Segment(B, C) → g
  8. Segment(C, D) → h
  9. Segment(D, A) → i
  10. Mode(l1) → l2
  11. If(Length[l2] ≟ 0, "No repeated coordinates.", "Some coordinates repeat!") → text1