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Bisecting an angle

This is the step-by-step, printable version. If you PRINT this page, any ads will not be printed.

See also the animated version.

After doing this Your work should look like this
Start with angle PQR that we will bisect. Geometry construction with compass and straightedge or ruler or ruler
1.  Place the compasses' point on the angle's vertex Q. Geometry construction with compass and straightedge or ruler or ruler
2.  Adjust the compasses to a medium wide setting. The exact width is not important. Geometry construction with compass and straightedge or ruler or ruler
3.  Without changing the compasses' width, draw an arc across each leg of the angle. Geometry construction with compass and straightedge or ruler or ruler
4.  The compasses' width can be changed here if desired. Recommended: leave it the same. Geometry construction with compass and straightedge or ruler or ruler
5.  Place the compasses on the point where one arc crosses a leg and draw an arc in the interior of the angle. Geometry construction with compass and straightedge or ruler or ruler
6.  Without changing the compasses setting repeat for the other leg so that the two arcs cross. Geometry construction with compass and straightedge or ruler or ruler
7.  Using a straightedge or ruler, draw a line from the vertex to the point where the arcs cross Geometry construction with compass and straightedge or ruler or ruler
Done. This is the bisector of the angle PQR. Geometry construction with compass and straightedge or ruler or ruler

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Non-Euclidean constructions