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Construct Parallel Lines Using Perpendicular Lines

Construct Parallel Lines Using Perpendicular Lines
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2014-08-25 11:30
VectorCoordinate GeometryGeometric Construction
This example demonstrates how to construct parallel lines by using perpendicular lines. Key mathematical concepts include the properties of lines and the definition of perpendicular lines. Using GeoGebra commands such as Line, Point, Circle, and Intersect, one can visually understand the method of constructing parallel lines. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Point(a) → C
  3. Circle(A, C) → c
  4. Circle(B, Segment[C, A]) → d
  5. Intersect(c, d) → D, E, ,
  6. Line(D, E) → b
  7. Point(b) → G
  8. Circle(F, G) → e
  9. Point(b) → H
  10. Circle(G, H) → f
  11. Intersect(e, b, 2) → I
  12. Circle(I, Segment[H, G]) → g
  13. Intersect(f, g) → J, K, ,
  14. Line(F, J) → h