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Locus Constructions. 1. Points equidistant from a fixed point. Circle. 2. Points Equidistant from Two Fixed Points. Perpendicular bisector. Perpendicular Bisector - Construction. Draw arcs centred on the two points. Join the intersections of the arcs.
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2. Points Equidistant from Two Fixed Points Perpendicular bisector
Perpendicular Bisector - Construction Draw arcs centred on the two points. Join the intersections of the arcs.
3. Points Equidistant from Two Fixed Lines Angle bisector
Angle Bisector - Construction Mark points on the lines equidistant from the intersection. Draw arcs centred on these points. Join the intersection of the arcs to the intersection of the lines.
Example 1 The castle is to be surrounded by a moat which must always be 2 metres wide.
B A C Example 2 A factory is to be built in a position which is the same distance from towns A and B and no more than 10km from town C. Perpendicular bisector of A and B. Interior of circle radius 10. Possible locations on this line.