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Properties of a Rhombus on a Coordinate Grid

Properties of a Rhombus on a Coordinate Grid
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2019-09-26 21:36
PolygonCoordinate GeometryGeometric Construction
This example demonstrates drawing and exploring the properties of a rhombus on a coordinate grid. It involves core mathematical concepts such as equal sides, perpendicular bisectors of diagonals, coordinate geometry, and trigonometry. The construction uses GeoGebra commands like Segment, LineBisector, Point, Line, Intersect, and Polygon. Suitable for high school students learning coordinate geometry and geometric constructions.

GeoGebra Commands & Parameters

  1. Segment(J, B) → f
  2. LineBisector(J, B) → g
  3. Point(g) → C
  4. Segment(C, J) → h
  5. Line(B, h) → i
  6. Line(C, B) → j
  7. Line(J, j) → k
  8. Intersect(g, i) → N
  9. Polygon(J, C, B, N) → q1, a, c, b, d
  10. Segment(C, N) → l
  11. Intersect(f, l) → M