Problem C. 1281. (March 2015)
C. 1281. Let \(\displaystyle M\) denote the intersection of the lines of the legs of a trapezium. On a line passing through \(\displaystyle M\) and parallel to the bases, let \(\displaystyle A\) and \(\displaystyle B\) denote the intersections with the extensions of the diagonals. Prove that \(\displaystyle AM=BM\).
(5 pont)
Deadline expired on 10 April 2015.
Statistics:
86 students sent a solution.  
5 points:  57 students. 
4 points:  6 students. 
3 points:  5 students. 
2 points:  8 students. 
1 point:  5 students. 
0 point:  4 students. 
Unfair, not evaluated:  1 solution. 
