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Square - Sides, Angles, and Diagonals

Square - Sides, Angles, and Diagonals
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2015-03-19 10:08
PolygonAngleGeometric Construction
In collections Quadrilateral Investigation
This example investigates the relationships between the sides, angles, and diagonals of a square. By measuring different segments, you can discover which segments are congruent. The construction uses GeoGebra commands such as Polygon, Segment, Intersect, Distance, and Angle. Suitable for middle school and above students to learn geometric construction.

GeoGebra Commands & Parameters

  1. Polygon(D, C, 4) → poly1, a, b, c, d, B, A
  2. Segment(A, C) → e
  3. Segment(B, D) → f
  4. Intersect(e, f) → E
  5. Distance(A, B) → distanceAB
  6. Distance(B, C) → distanceBC
  7. Distance(C, D) → distanceCD
  8. Distance(D, A) → distanceDA
  9. Distance(A, C) → distanceAC
  10. Distance(B, D) → distanceBD
  11. Distance(A, E) → distanceAE
  12. Distance(C, E) → distanceCE
  13. Distance(B, E) → distanceBE
  14. Distance(D, E) → distanceDE
  15. Angle(D, A, B) → α
  16. Angle(A, B, C) → β
  17. Angle(B, C, D) → γ
  18. Angle(C, D, A) → δ
  19. Angle(B, E, A) → ε
  20. Angle(C, E, B) → ζ
  21. Angle(D, E, C) → η
  22. Angle(A, E, D) → θ
  23. Angle(E, A, B) → ι
  24. Angle(A, B, E) → κ
  25. Angle(E, B, C) → λ
  26. Angle(B, C, E) → μ
  27. Angle(E, C, D) → ν
  28. Angle(C, D, E) → ξ
  29. Angle(E, D, A) → ο
  30. Angle(D, A, E) → ρ

AI Drawing Prompt Reference

Draw a square and mark its four sides, four angles, and two diagonals. Measure and label the length of each side and the angle of each corner. Observe the relationships between the sides and angles.
The prompt above was compiled from the original drawing commands and is for reference only.