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Area of a Diamond

Area of a Diamond
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2018-05-07 18:47
PolygonCoordinate GeometryGeometric Construction
In collections Area and Volume
This example demonstrates how to construct a diamond (rhombus) and calculate its area. Core math concepts include the properties of diagonals in a rhombus, area formulas, and coordinate geometry construction. GeoGebra commands/objects used are Point, Segment, Intersect, Polygon, PointIn, Perimeter. Suitable for middle school students and above learning geometric constructions and area calculations, or for introductory linear programming demonstrations.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Point(xAxis) → C
  3. Segment(D, A) → f
  4. Segment(A, C) → g
  5. Segment(C, B) → h
  6. Segment(B, D) → i
  7. Segment(A, B) → j
  8. Segment(D, C) → k
  9. Intersect(f, i) → E
  10. Intersect(h, i) → F
  11. Polygon(E, A, C, F) → q1, e, a, c, f_1
  12. PointIn(q1) → Pointq1_1
  13. Perimeter(q1) → perimeterq1
  14. PointIn(q1) → Pointq1