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**Hint:**In this question we have to consider each statement and check if it’s true or not. A geometry proof -like any mathematical proof is an argument that begins with known fact, proceeds from there through a series of logical deductions, and ends with things you are trying to prove.

**Complete step-by-step answer:**

There are three types of proof in geometry: first is Direct proof (proof by construction) second is Proof by contradiction and third Proof by induction.

Statement A is correct because a statement is always true and doesn’t need proof, it is axiom …….A statement that has been proven by logical arguments based on axiom, is a theorem.

Statement B is incorrect because in some instances there is more than one correct order in proving a certain proposition is incorrect because there is only one correct order in proving certain propositions.

Statement C is correct because a mathematical proof is an inferential argument for a mathematical statement, showing that the stated assumption logically guarantees the conclusion. The argument may use other previously established statements.

Statement D is correct because if a valid argument does have a false conclusion, it cannot have all true premises. Thus at least one premise must be false, then the conclusion must be false.

In this statement E indirect proof can be used whenever there are two or more country propositions that are correct. A contradictory statement is one that says two that cannot be true.

So after checking all the statements we find that statement B is incorrect.

**So, the correct answer is “Option B”.**

**Note:**Read all the given statements carefully and find the reason for their true or false it helps you to find your answers easily. Always look for the right statement first.

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