20 points! 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?

Not only in mathematics, scientific proof also are required in the other field of science. Also maths proofs are of particular structure, containing steps and logics. So proving is like doing science, it is science. That's why it is important to prove. 
An inaccurate proof leads to errors, or stating results that are not accurate. 
Example 1:
If the derivative of a function is negative, then the function is decreasing. 
Example 2:
The sum of the measures of the angles of any triangle is 180°.
Example 2:
Given a triangle whose vertices are on a circle and one side is the 
diameter of the triangle, then the triangle is right angled. 

Sometimes life is like a tunnel. you can’t always see the light at the end of the tunnel, but if you keep moving, you will come to a better place