Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
Already signed up?
New to KöMaL?
I want the old design back!!! :-)

Problem A. 484. (May 2009)

A. 484. In the Cartesian plane, a convex polygonal disk K is given. Apply the perpendicular affinity (x,y)\mapsto(x,py) to the points of K, where 0<p<1. Denote the resulting polygonal disk by K'. Prove that K' can be covered by a polygonal disk which is congruent to K.

(5 pont)

Deadline expired on June 15, 2009.


A possible solution can be read here.


Statistics:

1 student sent a solution.
5 points:Nagy 235 János.

Problems in Mathematics of KöMaL, May 2009