Difference between revisions of "2009 USAMO Problems/Problem 5"
(Created page with '== Problem == Trapezoid <math>ABCD</math>, with <math>\overline{AB}||\overline{CD}</math>, is inscribed in circle <math>\omega</math> and point <math>G</math> lies inside triangl…') |
|||
| Line 9: | Line 9: | ||
[[Category:Olympiad Geometry Problems]] | [[Category:Olympiad Geometry Problems]] | ||
| + | {{MAA Notice}} | ||
Revision as of 12:44, 4 July 2013
Problem
Trapezoid 
, with 
, is inscribed in circle 
and point 
lies inside triangle 
. Rays 
and 
meet again at points 
and 
, respectively. Let the line through parallel to 
intersects 
and 
at points 
and 
, respectively. Prove that quadrilateral 
is cyclic if and only if 
bisects 
.
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
| 2009 USAMO (Problems • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All USAMO Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
