The goal of Short Circuit is to connect all the dots to each other while finding the shortest path to do this. In every game theres one dot that has a different color: this is the dot where you have to start the chain.
While connecting the dots, you can see the current distance of the path you made and the distance of the shortest path.
You can choose from six game modes, varying from easy (8 dots) to hard (13 dots).

Besides free play, you can also try a time trial. The goal of this game mode is to solve as many puzzles as possible in 3 minutes.