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Quadrilateral Diagonals Investigation

Quadrilateral Diagonals Investigation
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2019-04-02 22:53
PolygonTrigonometryCoordinate GeometryGeometric Construction
In collections Diagonals of Quadrilaterals
This example demonstrates the properties and relationships of diagonals in quadrilaterals. It involves core mathematical concepts such as diagonal intersection, distance, slope, and coordinate geometry. The construction utilizes GeoGebra commands/objects like Circle, Line, OrthogonalLine, Intersect, Polygon, Segment, Distance, and Slope. It is suitable for high school students or math enthusiasts to explore geometric properties of quadrilaterals and deepen their understanding of geometric transformations and special points.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Line(B, A) → f
  3. OrthogonalLine(A, f) → g
  4. Intersect(c, g, 1) → C
  5. Intersect(c, f, 2) → D
  6. Intersect(c, g, 2) → E
  7. Polygon(B, C, D, E) → q1, b, c_1, d, e
  8. Segment(C, E) → h
  9. Segment(B, D) → i
  10. Distance(B, D) → distanceBD
  11. Slope(i) → mofBD
  12. Slope(i) → slopeBD
  13. Slope(h) → m
  14. Distance(C, E) → distanceCE