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  • Which of the following is the contrapositive of “If two triangles are identical, then these are similar”?Option: 1 if

Which of the following is the contrapositive of “If two triangles are identical, then these are similar”?

Option: 1

if two triangles are not similar, they are not identical


Option: 2

If two triangles are not identical, then these are not similar


Option: 3

If two triangles are not identical, then these are similar

 


Option: 4

If two triangles are not similar, then these are identical


Answers (1)

best_answer

Solution: The correct option is a) if two triangles are not similar, they are not identical.

 

Consider the following statements

p: Two triangles are identical.

q: Two triangles are similar.

The given statement in symbolic form is p\rightarrow q

Therefore the contra positive is given by \sim q\rightarrow \sim p

Now, 

\sim p: two triangles are not identical

\sim q: two triangles are not similar.

Therefore, \sim q\rightarrow \sim p: if two triangles are not similar they are not identical

 

Posted by

Rakesh

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