IMO Mock-1 problem 2
- Tahmid Hasan
- Posts:665
- Joined:Thu Dec 09, 2010 5:34 pm
- Location:Khulna,Bangladesh.
Let $ABCD$ be a convex quadrilateral with no pair of parallel sides, such that $\angle ABC=\angle CDA$. Assume that the intersections of the pairs of neighboring angle bisectors of $ABCD$ form a convex quadrilateral $EFGH$. Let $K$ be the intersection of the diagonals of $EFGH$. Prove that the lines $AB$ and $CD$ intersect on the circumcircle of the triangle $BKD$.
বড় ভালবাসি তোমায়,মা
- Tahmid Hasan
- Posts:665
- Joined:Thu Dec 09, 2010 5:34 pm
- Location:Khulna,Bangladesh.