Question

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?

Answer 1

An importance of mathematical proofs is that they elucidate on why a conjecture is false (untrue).

The importance of mathematical proofs.

Generally, some of the importance of mathematical proofs include the following:

• They elucidate on why a conjecture is false (untrue).

• It provides a rational and logical justification for a theory.

In geometry, some of the consequences of the inaccuracy in the conclusion within a proof are:

• It leads to the misinterpretation of concepts and theories.

• It produces wrong results.

Outside the world of geometry, there are different kinds of proofs and these include:

1. The Big Bang theory.
2. Reflection of light by a plane mirror.
3. Surface tension in water.

Basically, if there were to be an unjustified conclusion in the proofs above, the study of the properties of matter might not be possible. Also, the end users of various materials are most likely to be affected.

Read more on proofs here: brainly.com/question/26283907

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