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Roof Structure Analysis

Roof Structure Analysis
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2020-05-19 05:49
VectorCoordinate GeometryGeometric Construction
This example demonstrates whether four support posts can form a planar roof. Key mathematical concepts include plane geometry and vectors. Using GeoGebra commands such as Ray, Point, Vector, Polygon, Segment, etc., a geometric model of the roof can be constructed. Suitable for high school or university geometry and architecture courses.

GeoGebra Commands & Parameters

  1. Ray(C, (x(C), y(C) + 1)) → j
  2. Point(j) → C_r
  3. Ray(B, (x(B), y(B) + 1)) → h
  4. Point(h) → B_r
  5. Ray(A, (x(A), y(A) + 1)) → f
  6. Point(f) → A_r
  7. Vector((0, 0), (10, 0)) → u
  8. Vector((0, 0), (-7, -7)) → v
  9. Vector((0, 0), (0, 10)) → w
  10. Polygon(A, B, C, D) → q1, a, b, c, d
  11. Segment(A, A_r) → g
  12. Segment(B, B_r) → i
  13. Ray(D, (x(D), y(D) + 1)) → k
  14. Point(k) → D_r
  15. Segment(D, D_r) → l
  16. Segment(C, C_r) → m
  17. Polygon(A_r, B_r, C_r, D_r) → q2, a_r, b_r, c_r, d_r