This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

Tags were heavily modified to better represent problems.

AND:
OR:
NO:

Found problems: 1

Kvant 2019, M2583
Tags: geometry , pantagon , Kvant
On the side $DE$ and on the diagonal $BE$ of the regular pentagon $ABCDE$ we consider the squares $DEFG$ and $BEHI$. [list=a] [*] Prove that $A,I,$ and $G$ are collinear. [*] Prove that on this line lies also the centre $O$ of the square $BDJK$. [/list]