A proof is a very abstract thing. You can write a formal proof or an informal proof. An example of a formal proof is a paragraph proof. In a paragraph proof you use a lot of deductive reasoning. So in a paragraph you would explain why something can be done using postulates, theorems, definitions and properties. An example of an informal proof is a two-column proof. In a two-column proof you have two columns. One is labeled Statements and the other is labeled Reasons. On the statements side you write the steps you would use to prove or solve the problem and on the "reasons" side you explain your statement with a theorem, definition, postulate or property. Proofs are very difficult. You may want to consult a math teacher for help.
In math terms, it is more or less to make something sound reasonable; but in a way that is less formal than a proof.
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I am not really sure what you are asking but there are 3 types of proofs in geometry a flow proof, a 2-collumn proof, and a paragraph proof.
They are usually not valid.
A proof written in the form of a paragraph (as opposed to a two-column proof)
The final answer. Could mean write a paragraph on why (x) is the final asnwer.
paragraph proof
A proof is a very abstract thing. You can write a formal proof or an informal proof. An example of a formal proof is a paragraph proof. In a paragraph proof you use a lot of deductive reasoning. So in a paragraph you would explain why something can be done using postulates, theorems, definitions and properties. An example of an informal proof is a two-column proof. In a two-column proof you have two columns. One is labeled Statements and the other is labeled Reasons. On the statements side you write the steps you would use to prove or solve the problem and on the "reasons" side you explain your statement with a theorem, definition, postulate or property. Proofs are very difficult. You may want to consult a math teacher for help.
It means the same in math as it means else where--it means not reasonable. If you show mathematical steps that are not reasonable to solve a math problem or show a math proof, then your math is unreasonable.
It simply means accepted as true without the need for proof.
supplementary
In math terms, it is more or less to make something sound reasonable; but in a way that is less formal than a proof.
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congruent supplements
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If you only have claims in your paragraph, you are missing the proof or evidence to support your claims.