Mathematical and Physical Journal
for High Schools
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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.


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