In this unit, you worked with geometric proofs. A proof is a logical sequence of justified conclusions that lead from a hypothesis to a final conclusion. In your opinion, why are mathematical proofs important?

Suppose that a conclusion within a proof isn’t justified or is inaccurate. In geometry, what might be the consequences of the inaccuracy?

Now think about different kinds of proofs that take place outside the world of geometry, and list a few examples. What might be the consequences of having an unjustified conclusion surface in such proofs? Who might be affected and how?