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Constructing a Parallel Line

Constructing a Parallel Line
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2019-09-28 18:17
AngleGeometric Construction
This example demonstrates how to construct a line parallel to a given line using geometric methods. Key math concepts include the parallel line theorem, geometric constructions, and angle measurement. The construction utilizes GeoGebra commands/objects such as Line, Segment, Circle, Intersect, and Angle. Suitable for middle school and above students to understand and master parallel line constructions and geometric drawing skills.

GeoGebra Commands & Parameters

  1. Line(A, K) → l
  2. Segment(N, A) → f
  3. Circle(A, C_1) → c
  4. Intersect(c, f, 1) → C
  5. Intersect(c, l, 2) → B
  6. Circle(N, Segment[A, C]) → d
  7. Intersect(d, f) → D,
  8. Circle(D, Segment[B, C]) → e
  9. Intersect(d, e, 2) → E
  10. Line(N, E) → m
  11. Angle(B, A, C) → α
  12. Angle(E, N, D) → β