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Bank Shot Geometry Construction Example

Bank Shot Geometry Construction Example
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2018-07-27 09:06
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This example demonstrates the geometric construction of a bank shot on a pool table, involving concepts like angles, reflections, and ray intersections. Key construction steps include using GeoGebra commands such as Segment, Point, Angle, Mirror, Ray, and Intersect to build the table model, determine shooting angles, and calculate reflection paths. Suitable for middle school students learning geometric construction principles and applications, useful for math competitions or geometry teaching.

GeoGebra Commands & Parameters

  1. Segment(D, E) → f
  2. Point(f) → C
  3. Point(h) → A
  4. Point(g) → B
  5. Segment(A, C) → i
  6. Segment(C, B) → j
  7. Angle(E, C, B) → α
  8. Angle(A, C, D) → β
  9. Mirror(A, k) → A'
  10. Segment(A, C) → l
  11. Ray(C, A') → m
  12. Intersect(g, m) → F
  13. Angle(E, C, A') → γ
  14. Angle(A, C, D) → δ
  15. Segment((-10, -10), (-11, -11)) → p
  16. Segment(C, F) → n