Answer

Verified

424.5k+ views

**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.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Guru Purnima speech in English in 100 words class 7 english CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Which are the Top 10 Largest Countries of the World?

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Difference Between Plant Cell and Animal Cell

Change the following sentences into negative and interrogative class 10 english CBSE

Select the word that is correctly spelled a Twelveth class 10 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers