Math Open Reference
| 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 compass width to just over half the length of the line segment PQ. |  |
| 3. With the compass 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 compass point on the intersection of PQ and the perpendicular just drawn, set the compass 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° |  |