Transcript LOCUS - Every Maths Topic

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.
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.
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.
B
A
Interior of circle
radius 10.
C
Possible locations on
this line.