Me with my last question.

you may never be asked to do a “formal proof” outside of studying geometry again, but proofs involve a type of reasoning called deductive reasoning. deductive reasoning is often used in our everyday lives. describe some real-world scenarios in which this reasoning is applied

Just as you deduce the reasoning as to why a certain side is congruent to another side or a shape to another shape, a detective will deduce the identity of a criminal and their methods to their crime. They usually deduce the facts as to how they complete their crime and then figure out who can pull it off with efficiency and with motive. Normal citizens usually deduce or figure out their income and make sure they plan out their money in a way that they will make a profit. There are many examples, but these two stood out to me. I am also deducing or answering your question so uhhh use me for your answer... Hope this helps