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Rectangle Properties Demo by Math Teachers' Adventure of ICT Integration

Rectangle Properties Demo by Math Teachers' Adventure of ICT Integration
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2017-10-10 20:32
PolygonCoordinate GeometryGeometric Construction
In collections Investigating Quadrilaterals
This example demonstrates the geometric properties of a rectangle, including parallel opposite sides, equal diagonals, and right angles. Core math concepts involve parallel lines, diagonals, angles, and polygon construction. It uses commands like Corner, Segment, Point, OrthogonalLine, Intersect, Polygon, and Angle to construct and verify the rectangle's properties. Suitable for middle school students and above for learning polygon basics and mathematical demonstrations.

GeoGebra Commands & Parameters

  1. Corner(5) → I
  2. Segment(A, B) → a
  3. Point(a) → C
  4. Segment(D, E) → b
  5. Point(b) → F
  6. Segment(C, F) → c
  7. OrthogonalLine(C, c) → d
  8. OrthogonalLine(F, c) → e
  9. Point(e) → G
  10. Point(e) → H
  11. Segment(G, H) → f
  12. Point(f) → J
  13. OrthogonalLine(J, d) → g
  14. Intersect(d, g) → K
  15. Polygon(C, F, J, K) → Vieleck1, c_1, f_1, j, k
  16. Segment(C, J) → h
  17. Segment(F, K) → i
  18. Angle(h, i) → α