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Constructing the perpendicular bisector of a line segment

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See also the animated version.

  After doing this Your work should look like this
  Start with a line segment PQ. Geometry construction with compass and straightedge or ruler or ruler
1 Place the compasses on one end of the line segment. Geometry construction with compass and straightedge or ruler or ruler
2 Set the compasses' width to a approximately two thirds the line length. The actual width does not matter. Geometry construction with compass and straightedge or ruler or ruler
3 Without changing the compasses' width, draw an arc above and below the line. Geometry construction with compass and straightedge or ruler or ruler
4 Again without changing the compasses' width, place the compasses' point on the the other end of the line. Draw an arc above and below the line so that the arcs cross the first two. Geometry construction with compass and straightedge or ruler or ruler
5 Using a straightedge, draw a line between the points where the arcs intersect. Geometry construction with compass and straightedge or ruler or ruler
6 Done. This line is perpendicular to the first line and bisects it (cuts it at the exact midpoint of the line). Geometry construction with compass and straightedge or ruler or ruler
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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