Why did Plato love geomerty?

Plato believed that studying mathematics strengthened mental abilities, serving as a necessary prelude to the demands of philosophical studies. For Plato, a special part of the mind, the nous, is involved in understanding mathematical truths. These truths pertain to things outside space and time. In this respect, mathematical truths are similar to theological and metaphysical truths. Therefore mathematics prepares the mind for theology and metaphysics.