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Locus Constructions

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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Locus Constructions

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  1. Locus Constructions

  2. 1. Points equidistant from a fixed point Circle

  3. 2. Points Equidistant from Two Fixed Points Perpendicular bisector

  4. Perpendicular Bisector - Construction Draw arcs centred on the two points. Join the intersections of the arcs.

  5. 3. Points Equidistant from Two Fixed Lines Angle bisector

  6. 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.

  7. Example 1 The castle is to be surrounded by a moat which must always be 2 metres wide.

  8. 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.

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