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Rectangle Template

Rectangle Template
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2019-06-27 04:33
PolygonAngleGeometric Construction
This example demonstrates the geometric construction of a rectangle and its fundamental properties. It involves core mathematical concepts such as points, lines, angles, and polygons. The construction uses GeoGebra commands like Segment, OrthogonalLine, Point, Intersect, Angle, Midpoint, Polygon, Line, and Mirror. Suitable for middle school and above students to learn geometric constructions and explore rectangle properties.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. OrthogonalLine(A, a) → b
  3. OrthogonalLine(B, a) → c
  4. Point(b) → D
  5. OrthogonalLine(D, b) → d
  6. Intersect(c, d) → C
  7. Segment(D, A) → e
  8. Segment(D, C) → f
  9. Segment(C, B) → g
  10. Angle(C, B, A) → α
  11. Angle(B, A, D) → β
  12. Angle(A, D, C) → γ
  13. Angle(D, C, B) → δ
  14. Midpoint(D, B) → M
  15. Segment(D, M) → h
  16. Segment(M, B) → i
  17. Segment(A, M) → j
  18. Segment(M, C) → k
  19. Angle(B, A, M) → ε
  20. Angle(M, B, A) → ζ
  21. Angle(D, C, M) → η
  22. Angle(M, D, C) → θ
  23. Angle(A, D, M) → ι
  24. Angle(M, A, D) → κ
  25. Angle(C, B, M) → λ
  26. Angle(M, C, B) → μ
  27. Polygon(A, B, C) → poly1, c_1, a_1, b_1
  28. Line(A, C) → n
  29. Mirror(A, n) → A'
  30. Mirror(B, n) → B'
  31. Mirror(C, n) → C'
  32. Polygon(A', B', C') → poly_2, c', a', b'
  33. Polygon(D, A, B) → poly2, b_2, d_1, a_2
  34. Mirror(D, a_2) → D'
  35. Mirror(A, a_2) → A'_1
  36. Mirror(B, a_2) → B'_1
  37. Polygon(D', A'_1, B'_1) → poly2', b'_1, d', a'_1
  38. Polygon(A, B, C, D) → poly3, a_3, b_3, c_2, d_2
  39. Segment(A, C) → q
  40. Segment(D, B) → t