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Distance Between Two Parallel Lines

Distance Between Two Parallel Lines
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2016-03-08 02:58
Coordinate GeometryGeometric Construction
This example demonstrates how to calculate the distance between two parallel lines using geometric construction. Key mathematical concepts include the equations of lines and distance formulas in coordinate geometry. Using GeoGebra commands such as Line, OrthogonalLine, Point, Intersect, Angle, Segment, and Distance, the construction process is visually illustrated. Suitable for students at the middle school level and above to learn about the distance between lines in coordinate geometry.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. OrthogonalLine(A, a) → b
  3. Point(b) → C
  4. Line(C, a) → c
  5. OrthogonalLine(B, a) → d
  6. Intersect(c, d) → D
  7. Angle(D, C, A) → α
  8. Angle(c, d) → β
  9. Point(a) → E
  10. OrthogonalLine(E, a) → e
  11. Intersect(c, e) → F
  12. Angle(c, e) → γ
  13. Segment(A, B) → f
  14. Segment(C, D) → g
  15. Distance(A, C) → distanceAC
  16. Distance(B, D) → distanceBD
  17. Distance(E, F) → distanceEF