Since my opponent has taken the center position (1,1), taking a corner is a strong strategic response. The top-left corner (0,0) gives me two potential winning lines (horizontal across the top row and diagonal from top-left to bottom-right). This position also prevents my opponent from setting up a potential fork through this corner. All four corners would be equally strong at this point since the board is symmetrical with only the center taken, but I'll choose the top-left to establish my presence on the board.