
Imagine that you and a friend are about to begin a game of tic-tac-toe. You have decided to use X's to mark your spots on the board, and you have the privilege of going first. Where will you place your first X? Do you think you will have a better chance of winning the game if you place your first X in the center? Or how about in one of the corners? How will you decide where to go first?
While tic-tac-toe may not be considered a mathematical game, playing the game does involve some strategy and logic, which are certainly mathematical concepts. Logic can be described as the way you think, or reason, your way through a problem. In geometry, logic is the basis for the rules and definitions that are used to arrive at a solution.