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Properties of a Square by Roxana Kim

Properties of a Square by Roxana Kim
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2017-01-09 07:31
PolygonAngleGeometric Construction
This example demonstrates the properties of a square, involving key mathematical concepts such as angles, side lengths, and diagonal relationships. Using GeoGebra commands like Polygon, Angle, and Segment, students can explore the geometric properties of a square. Suitable for middle school and above students to learn geometric construction and property exploration.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → poly1, a, b, c, d, C, D
  2. Angle(A, D, C) → angleADC
  3. Angle(D, C, B) → angleDCB
  4. Angle(A, B, C) → angleCBA
  5. Angle(D, A, B) → angleDAB
  6. Segment(D, B) → DB
  7. Segment(A, C) → AC
  8. Intersect(DB, AC) → E
  9. Distance(D, E) → distanceDE
  10. Distance(E, B) → distanceEB
  11. Distance(A, E) → distanceAE
  12. Distance(C, E) → distanceCE
  13. Distance(B, E) → distanceBE
  14. Segment(A, C) → m
  15. Segment(D, B) → m_1
  16. Angle(D, E, A) → α
  17. Angle(A, E, B) → β
  18. Angle(B, E, C) → γ
  19. Angle(C, E, D) → δ
  20. Angle(A, D, E) → ε
  21. Angle(E, D, C) → ζ
  22. Angle(D, C, E) → η
  23. Angle(E, C, B) → θ
  24. Angle(C, B, E) → ι
  25. Angle(E, B, A) → κ
  26. Angle(B, A, E) → λ
  27. Angle(E, A, D) → μ
  28. Distance(A, D) → distanceAD
  29. Distance(D, C) → distanceDC
  30. Distance(C, B) → distanceCB
  31. Distance(B, A) → distanceBA