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Quadrilateral Naming and Angle Sum

Quadrilateral Naming and Angle Sum
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2012-11-02 11:57
PolygonAngleGeometric Construction
This example demonstrates how to name quadrilaterals and proves that the sum of their interior angles is 360 degrees. Using GeoGebra commands such as Vector, Rotate, Angle, etc., the construction process of quadrilaterals is clearly shown. Suitable for middle school and above students to learn about quadrilateral properties and geometric constructions.

GeoGebra Commands & Parameters

  1. Vector(B, A) → w
  2. If((4 ≤ n) ∧ (n ≤ 5), n - 4, 1) → W
  3. If((2 ≤ n) ∧ (n ≤ 3), n - 2, 1) → S
  4. If((1 ≤ n) ∧ (n ≤ 2), n - 1, 1) → Q
  5. If((0 ≤ n) ∧ (n < 1), n, 1) → P
  6. If(P < 1, 0, Q) → R
  7. If(R < 1, 0, S) → T
  8. If((3 ≤ n) ∧ (n ≤ 4), n - 3, 1) → U
  9. If(T < 1, 0, U) → V
  10. If(V < 1, 0, W) → Z
  11. Rotate(D, (V * 180)°, B) → K
  12. Vector(D, A) → u
  13. Line(A, B) → a
  14. Line(C, D) → b
  15. Line(A, C) → c
  16. Line(B, D) → d
  17. Angle(C, A, B) → α
  18. Line(D, A) → f
  19. Line(E, d) → g
  20. Line(E, b) → h
  21. Angle(F, E, G) → β
  22. Vector(C, A) → v
  23. Rotate(A, (P * 180)°, C) → J
  24. Rotate(D, (P * 180)°, C) → I
  25. Rotate(A, (V * 180)°, B) → H
  26. Angle(J, L, M) → γ
  27. Angle(H, O, N) → δ
  28. Polygon(A, C, D, B) → poly1, a_1, c_1, d_1, b_1
  29. OrthogonalLine(C, c_1) → e
  30. Intersect(e, a) → E_1
  31. OrthogonalLine(E_1, e) → i
  32. OrthogonalLine(B, d) → j
  33. Intersect(j, c) → F_1
  34. OrthogonalLine(F_1, j) → k
  35. Angle(C, A, B) → ε