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Constructing perpendicular at a point on a line

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See also the animated version.

  After doing this Your work should look like this
  Start with a line and point K on that line. Geometry construction with compass and straightedge or ruler or ruler
1 Set the compasses' width to a medium setting. The actual width does not matter. Geometry construction with compass and straightedge or ruler or ruler
2 Without changing the compasses' width, mark a short arc on the line at each side of the point K, forming the points P,Q. These two points are thus the same distance from K. Geometry construction with compass and straightedge or ruler or ruler
3 Increase the compasses to almost double the width (again the exact setting is not important). Geometry construction with compass and straightedge or ruler or ruler
4 From P, mark off a short arc above K Geometry construction with compass and straightedge or ruler or ruler
5 Without changing the compasses' width repeat from the point Q so that the the two arcs cross each other, creating the point R Geometry construction with compass and straightedge or ruler or ruler
6 Using the straight edge, draw a line from K to where the arcs cross. Geometry construction with compass and straightedge or ruler or ruler
7 Done. The line just drawn is a perpendicular to the line at K  
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Other constructions pages on this site

Lines

Angles

Triangles

Right triangles

Triangle Centers

Circles, Arcs and Ellipses

Polygons

Non-Euclidean constructions