Difference between revisions of "2007 IMO Problems/Problem 2"
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line <math>BC</math> at <math>G</math>. Suppose also that <math>EF=EG=EC</math>. Prove that <math>\ell</math> is the bisector of <math>\angle DAB</math>. | line <math>BC</math> at <math>G</math>. Suppose also that <math>EF=EG=EC</math>. Prove that <math>\ell</math> is the bisector of <math>\angle DAB</math>. | ||
− | == Solution == | + | ==Solution== |
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+ | {{alternate solutions}} | ||
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+ | {{IMO box|year=2007|num-b=1|num-a=3}} | ||
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+ | [[Category:Olympiad Geometry Problems]] |
Revision as of 00:12, 9 October 2014
Problem
Consider five points , and
such that
is a parallelogram and
is a cyclic quadrilateral.
Let
be a line passing through
. Suppose that
intersects the interior of the segment
at
and intersects
line
at
. Suppose also that
. Prove that
is the bisector of
.
Solution
Alternate solutions are always welcome. If you have a different, elegant solution to this problem, please add it to this page.
2007 IMO (Problems) • Resources | ||
Preceded by Problem 1 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 3 |
All IMO Problems and Solutions |