LOCUS
Locus: a collection of points that satisfy a given condition.
1) Make a diagram of the fixed points or lines
2) Locate a point that satisfies the condition.
Then locate several other points that satisfy it.
3) Through the points, draw a dotted line or
smooth curve of the locus.
4) Describe in words the locus.
Find points equidistant from these two fixed points
Given: A and B
A
B
The locus of points is the perpendicular
bisector of the segment formed by connecting
AB
Given: AB intersecting CD
Find points equidistant from these two intersecting lines.
C
A
B
D
The locus of points is a pair of lines, which bisect the
angles formed by the intersecting lines.
Given: AB CD
Find points equidistant from these two parallel lines.
A
d
C
B
d
D
The locus of points is a line, parallel to the original
lines, midway between them.
Given: AB and a distanced.
Find points that are at a distance d from the line.
B
d
d
A
d
The locus of points is a pair of lines parallel to the given
line, at a distance d from the line.
All points are d
distance away
Given : Point A and distance d .
Find points that are at a distance d from the fixed point A.
Given:
d
A
d
A
The locus of points is a circle whose center is point A and
the length of whose radius is the distance d.

Pass out packet
Conditions
Locus
Given: A and B
The locus of points is the
perpendicular bisector, CD of the
segment, AB, joining the two points
C
Find points equidistant from
these two fixed points
A
B
A
B
Given: AB intersecting CD
Find points equidistant from
these two intersecting lines
D
The locus of points is a pair of lines
which bisect the angles formed by
the intersecting lines.
C
A
B
D
Conditions
Locus
The locus of points is a third line
parallel to the two lines and midway
between them.
Given: AB CD
A
Find points equidistant from
these two intersecting lines
B
C
D
Given: AB and a distanced.
The locus of points is a pair of lines
parallel to the given line, at a
distance d from the line.
Find points that are at a distance
d from the line
d
A
A
d
d
B
B
Conditions
Locus
Given : Point A and distance d .
The locus of points is a circle whose
center is point A and the length of
whose radius is the distance d.
Find points that are at a distance
d from the fixed point A.
d
d
A
A
1. Given: A and B
4. Given: AB CD
Find points equidistant from
these two fixed points
Find points equidistant from
these two parallel lines
2. Given: AB intersecting CD
Find points equidistant from
these two intersecting lines
5. Given : Point A and distance d .
Find points that are at a distance
d from the fixed point A.
d
3. Given: AB and a distanced.
Find points that are at a distance
d from the line
A
d
B
A
C
1
4
A
B
A
B
C
D
2
D
C
5
A
B
d
A
D
3
d
A
d
B