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Perpendicular from a point on a line

Perpendicular from a point on a line
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2019-09-22 10:57
AngleCoordinate GeometryGeometric Construction
This example demonstrates how to construct a perpendicular line through a point on a line using GeoGebra. Key math concepts involved include straight lines, circles, intersections, and angles. Construction highlights involve commands like Line, Circle, Intersect, Point, and Angle to create and manipulate geometric objects. Suitable for middle school students and above for learning geometric constructions, or for educational demonstrations.

GeoGebra Commands & Parameters

  1. Line(A, P) → l
  2. Circle(P, Q) → c
  3. Intersect(c, l) → L, M
  4. Point(l) → C
  5. Circle(L, Segment[L, C]) → d
  6. Circle(M, Segment[L, C]) → e
  7. Intersect(d, e, 1) → N
  8. Line(N, P) → m
  9. Angle(M, P, N) → α