How to prove the theorem?

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How to prove the theorem?

The procedure for proving the theorem only seemscomplicated. It is enough to be able to think logically, to have the necessary knowledge on this scientific discipline, and to prove the theorem for you will not be difficult. It is important to perform all actions clearly in the right sequence.

In some sciences, for example, in algebra andgeometry, one of the most important skills is the ability to prove theorems. This is due to the fact that the theorems proved later will be useful in order to solve problems. It is necessary not only to learn the algorithm of the proof, but to be able to understand its essence. Let's figure out how to prove the theorem.

Proof of Theorems

First you need to draw a drawing, it should beclear and accurate. After this, it is necessary to note the given conditions on it. In the column "Dano" you need to write down all the quantities that you originally knew, and what you need to prove. After that, you can do proof. In fact, it is a chain of logically constructed thoughts that allow us to show that any statement is true. The proof of the theorem implies the use of other theorems, axioms, the application of action from the contrary, and so on.

Thus, the proof of the theorem isa certain sequence of actions, allowing to obtain an assertion, the truth of which can not be disputed. As a rule, the most difficult at the time of proof is precisely the search for a sequence of logical reasoning. If it succeeds, then you will be able to prove what was required of you.

How to prove theorems on geometry without difficulty

To simplify your task, you can break uptheorem on a part, and prove each of them separately, which in the end will lead you to the result. In some cases, it is effective to use the "proof from the contrary" method. Then you need to start with the words "suppose the opposite." It should be explained why in this case this or that conclusion is impossible. To finish it is necessary with words "means, the initial statement is true. The theorem is proved. "

More useful information on geometry can be found in the Geometry section.

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