Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem A. 755. (September 2019)

A. 755. Prove that every polygon that has a center of symmetry can be dissected into a square such that it is divided into finitely many polygonal pieces, and all the pieces can only be translated. (In other words, the original polygon can be divided into polygons $\displaystyle A_1, A_2,\dots, A_n$, a square can be divided into polygons a $\displaystyle B_1, B_2,\dots, B_n$ such that for $\displaystyle 1\le i\le n$ polygon $\displaystyle B_i$ is a translated copy of polygon $\displaystyle A_i$.)

(7 pont)

Deadline expired on October 10, 2019.

### Statistics:

 16 students sent a solution. 7 points: Beke Csongor, Füredi Erik Benjámin, Hegedűs Dániel, Tóth 827 Balázs. 6 points: Bán-Szabó Áron, Győrffi Ádám György, Hervay Bence, Nagy Nándor, Szente Péter. 5 points: 4 students. 4 points: 1 student. 1 point: 1 student. 0 point: 1 student.

Problems in Mathematics of KöMaL, September 2019