Magyar Information Contest Journal Articles

# 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.

 Our web pages are supported by: Morgan Stanley