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Math
A |
Locus:
At a Fixed Distance
from a Point |
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| Locus
Theorem 1: (point) |
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The locus of points
at a fixed distance, d, from point P is a circle
with the given point P as its center and d as its
radius.
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Consider:
You are standing in the middle of your classroom. The teacher asks
Paul, your classmate, to stand 5 feet away from you. The teacher
then asks John, Sue and Heather to also stand 5 feet away from you.
Can you start to picture what is happening? If all of your
classmates were to stand 5 feet away from you, what geometric shape would
your classmates be forming?
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Another
interpretation of Theorem 1:
Point P
is the stake to which Fido, the dog, is tied. His
leash is 15 feet long. The path that Fido can travel
at the end of his leash is "the locus of
points".
The locus
of points at a distance of 15 feet from point P is a
circle (with center P and radius 15). |
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