Back to main page Perpendicular at a point on a line
Printable instructions worksheet.
  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 compass 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 compass 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 compass to almost double its 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 compass 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