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Angle Between Two Planes by TAM Chi Leung

Angle Between Two Planes by TAM Chi Leung
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2016-02-24 10:51
VectorSolid GeometryGeometric Construction
This example demonstrates how to calculate the angle between two planes. It involves core mathematical concepts such as plane equations, vector dot product, and the cosine theorem. Key GeoGebra commands/objects used include Polygon, OrthogonalLine, Point, OrthogonalPlane, Intersect, Angle, and Segment for constructing the geometric representation. Suitable for high school and above students learning about spatial relationships in solid geometry.

GeoGebra Commands & Parameters

  1. Polygon(D, A, B, C) → poly1, d, a, b, c
  2. OrthogonalLine(A, xOyPlane) → e
  3. Point(e) → P
  4. OrthogonalLine(B, xOyPlane) → f
  5. OrthogonalLine(P, e, space) → g
  6. OrthogonalPlane(P, e) → h
  7. Intersect(f, h) → F
  8. Polygon(P, F, C, D) → poly2, e_1, f_1, c_1, d_1
  9. Angle(B, C, F) → α
  10. Point(c) → Q
  11. Segment(F, Q) → i
  12. Segment(Q, B) → j
  13. Angle(B, Q, F) → β
  14. Angle(F, C, D) → γ
  15. Angle(B, C, D) → δ