Why was Daedalus asked to build the Labyrinth?

King Minos asked Daedalus to build the Labyrinth so that he could imprison the Minotaur, a creature that was half-man and half-bull. The Minotaur was the offspring of Minos' wife, Pasiphae, and a white bull. Minos was ashamed of the Minotaur and wanted to keep it hidden away.