Mathematical and Physical Journal
for High Schools
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Problem B. 4695. (February 2015)

B. 4695. Given that a permutation of the points of the plane maps any three concyclic points to three concyclic points, show that three points are collinear if and only if their images are collinear.

(5 pont)

Deadline expired on March 10, 2015.


Statistics:

41 students sent a solution.
5 points:Baran Zsuzsanna, Cseh Kristóf, Csépai András, Czirkos Angéla, Döbröntei Dávid Bence, Fekete Panna, Gáspár Attila, Imolay András, Kerekes Anna, Kocsis Júlia, Kőrösi Ákos, Lajkó Kálmán, Molnár-Sáska Zoltán, Nagy Kartal, Nagy-György Pál, Németh 123 Balázs, Porupsánszki István, Schrettner Bálint, Szebellédi Márton, Szőke Tamás, Tóth Viktor, Varga-Umbrich Eszter, Williams Kada, Záhorský Ákos, Zolomy Kristóf.
4 points:Keresztfalvi Bálint.
2 points:1 student.
1 point:6 students.
0 point:8 students.

Problems in Mathematics of KöMaL, February 2015