**Bisecting an Angle **

To bisect the angle ABC draw arcs of equal length centred at B. Draw arcs of equal length centred at E and F to cross at G. The line BG bisects the angle.

**Constructing the Perpendicular Bisector to a Line **

To bisect the above draw arcs centred of equal radius at each end to cross at B and C. Draw arcs centred at B and C to cross at E and F. The line EF bisects the original line.

**Constructing an Angle of Sixty Degrees to a Line **