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 23:12, 8 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 | ||
