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Perpendicular Line from a Point Off a Line

Perpendicular Line from a Point Off a Line
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2014-10-15 00:51
AngleCoordinate GeometryGeometric Construction
In collections Geometry Construction Project
This example demonstrates how to draw a line through a point outside a line that is perpendicular to it. Key math concepts include perpendicular lines, distance from a point to a line, and coordinate geometry. Construction involves commands/objects like Segment, Circle, Intersect, Line, and Angle in GeoGebra. Suitable for high school students and teachers learning coordinate geometry.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Circle(A, Segment[B, A]) → c
  3. Circle(B, Segment[B, A]) → d
  4. Intersect(c, d, 1) → C
  5. Intersect(c, d, 2) → D
  6. Line(C, D) → b
  7. Intersect(b, a) → E
  8. Angle(B, E, C) → α