Problem

Source: IGO 2024 Elementary Level - Problem 1

Tags: geometry



Reflect each of the shapes $A,B$ over some lines $l_A,l_B$ respectively and rotate the shape $C$ such that a $4 \times 4$ square is obtained. Identify the lines $l_A,l_B$ and the center of the rotation, and also draw the transformed versions of $A,B$ and $C$ under these operations. Proposed by Mahdi Etesamifard - Iran