Difference between revisions of "2004 USAMO Problems/Problem 6"
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| − | ==Problem== | + | == Problem == |
| − | + | (''Zuming Feng'') A circle <math>\omega </math> is inscribed in a quadrilateral <math>ABCD </math>. Let <math>I </math> be the center of <math>\omega </math>. Suppose that | |
| − | A circle <math>\omega </math> is inscribed in a quadrilateral <math>ABCD </math>. Let <math>I </math> be the center of <math>\omega </math>. Suppose that | ||
<center> | <center> | ||
<math> | <math> | ||
Revision as of 12:58, 18 July 2014
Problem
(Zuming Feng) A circle 
is inscribed in a quadrilateral 
. Let 
be the center of . Suppose that
.
Prove that is an isosceles trapezoid.
Solution
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Resources
| 2004 USAMO (Problems • Resources) | ||
| Preceded by Problem 5 |
Followed by Last problem | |
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| All USAMO Problems and Solutions | ||
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