Apadilla has it right. Here are a couple of examples to clarify further.
1. Lisa had three things on her mind: finding her brother, warning him . . . . [Here we use a colon.]
2. He had a car; she had a bike. [Here we use a semi-colon.]
Example two uses a semi-colon to demontrate the close connection between the two statements. To show a closer connection, this could be written "He had a car, and she had a bike." To break these statements, we can use a period in place of the semi-colon: "He had a car. She had a bike."