Why do you study geometry?

Answer 1

If you are a pragmatist, geometry is a branch of practical knowledge which allows you learn more about the world around you, through surveying, measurements, and design, and then build more with accurate construction techniques.

If you are a philosopher, learning how to construct proofs will teach you how to think logically, and not make stupid decisions based on ignorance and faulty assumption.

If you are a student of history, then you know that the cultures with the smartest people, the best engineers, and superior technology, generally prevail over those without these assets. Geometry is part of the mathematics which underpins science and engineering.

And if you are just a plain student, who could care less about geometry or any other serious study other than the opposite sex, learning all that you can, while you can, may help you to prepare for a higher-income, satisfying job which will make you a more attractive partner for those you would want to date or marry.

Should none of these reasons satisfy you, then you need to study geometry because that is what you are required to do by whatever powers rule your life.