NAME _________________________________
GEOMETRY
UNIT 10
Locus
Date
Page
Topic
Homework
4/8
x
Cumulative review Unit 1-9
None
4/9
x
Cumulative review Unit 1-9
Cards due April 12th
4/10
2/3
Basic locus
Worksheet #1
4/11
4
Graphing basic locus
Worksheet #2
4/12
5
Quiz
Finding intersection of locus
Worksheet #3
4/15
6
Graphing intersections of locus
Worksheet #4
4/16
Review
Ticket-In
4/17
Test (cumulative)
1
Basic Locus
Draw a picture to represent the given scenario:
Scenario #1: You and a friend are standing across from each other. If I want to stand
equidistant from both of you, where could I stand?
Scenario #2: If you are standing in a room and I want all the other students to stand exactly 5
feet from you, where could they stand?
Scenario #3: If both sides of a road have a curb, where can you stand that is equidistant from
both sides?
Scenario #4: If there is a railroad track and I want all kids to stand 10 feet from it to be safe,
where can all the kids stand?
Scenario #5: If two streets intersect, where can a person stand so they are equidistant from
the two streets?
2
Locus Scenarios
#1:
#2
#3
#4
#5
3
Graphing basic locus
1) Find the locus of points 6 units
from the point (-3,2), and label the graph.
2.) Find the locus of from y=5 and y=- 3
and label the graph.
3.) Find the locus of points equidistant
from the x & y axis, label the graph.
4.) Find the locus of points equidistant
from the points (-2,1) and (6 ,-9). Label.
5.) Find the locus of points 3 units from y=x+4
4
Intersection of Locus
Scenario #1 If person A and person B are 20 miles apart. How many points are 16 miles from
person A and 11 miles from person B?
Scenario #2 If two lines AB and CDE are 8 inches apart. Sketch the locus of all points that are
equidistant from lines AB and CDE and 5 inches from point D. Label with an X each point that
satisfy both conditions.
A
C
B
D
E
Scenario #3 Tree A is planted 7 feet from Tree B. On the diagram below, sketch the points that
equidistant from the tree A and tree B and 4 feet from tree A
A
B
Scenario #4 On the diagram below, line FG is 10 units long. Sketch the points that are 5 units
from the given line FG and equidistant from points F and G. Mark the points of intersection with
an X. How many points satisfy both conditions?
F
G
5
Graphing intersections
Scenario #1
Scenario #2
Graph and label the points that would
be equidistant from the x&y axis and 4
units from the y-axis.
In a coordinate plane, how many points
are both 6 units from the origin and 3 units
from the x-axis?
LABEL EVERYTHING!!!
Scenario #3
Scenario #4
On the set of coordinate axes below, graph the
locus of points that are equidistant from the
lines
and
and graph the locus
of points that are 2 units from the y-axis. State
the coordinates of all points that satisfy both
conditions.
A school is planning to build a field. The field
must be equidistant from room A at
and room B at
. The field also must
be exactly 6 miles from the center of town,
which is located at the origin on the
coordinate graph. Each unit on the graph
represents 1 mile. On the set of axes below,
sketch the compound loci and label with an X
all possible locations for the new field.
6