Difference between revisions of "2003 AMC 12A Problems/Problem 9"
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== See Also == | == See Also == | ||
*[[2003 AMC 12A Problems]] | *[[2003 AMC 12A Problems]] | ||
| − | *[[2003 AMC 12A/Problem 8|Previous Problem]] | + | *[[2003 AMC 12A Problems/Problem 8|Previous Problem]] |
| − | *[[2003 AMC 12A/Problem 10|Next Problem]] | + | *[[2003 AMC 12A Problems/Problem 10|Next Problem]] |
[[Category:Introductory Algebra Problems]] | [[Category:Introductory Algebra Problems]] | ||
Revision as of 11:59, 16 November 2008
Problem
A set 
of points in the 
-plane is symmetric about the orgin, both coordinate axes, and the line 
. If 
is in , what is the smallest number of points in ?
Solution
If is in , then 
is also, and quickly we see that every point of the form 
or 
must be in . Now note that these 
points satisfy all of the symmetry conditions. Thus the answer is 
.
