Construct bisectors and other lines

Using a ruler and compass only construct the perpendicular bisector of a line AB, or the midpoint and understand that the locus gives you all the points equidistant from the points A and B. Also construct the perpendicular to a line through either a point on the line or a point off the line. Also construct the bisector of an angle AOB and understand that the locus gives you all the points equidistant from the lines OA and OB