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|
|1. Draw a line segment which will become one side of the angle. (Skip this step if you are given this line.) The exact length is not important. Label it PQ. P will be the angle's vertex.|
|In the next 3 steps we create the
perpendicular bisector of PQ.
See Constructing a perpendicular bisector of a line segment
|2. Set the compasses' width to just over half the length of the line segment PQ.|
|3. With the compasses' point on P then Q, draw two arcs that cross above and below the line.|
|4. Draw a line between the two arc intersections. This is at right angles to PQ and bisects it (divides it in exactly half).|
|5. With the compasses' point on the intersection of PQ and the perpendicular just drawn, set the compasses' width to P|
|6. Draw an arc across the perpendicular, creating the point C|
|7. Draw a line from P through C, and on a little more. The end of this line is point R|
|8. Done. The angle ∠QPR has a measure of 45°|