Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# 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 April 10, 2015.

### Statistics:

 85 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.

Problems in Mathematics of KöMaL, March 2015