CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2005

  • question_answer
    The contrapositive of If two triangles are identical, then these are similar is :

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

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

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

    D)  If two. triangles are not similar, then these are identical

    Correct Answer: A

    Solution :

    Consider the following statements p : Two triangles are identical q : Two triangles are similar Clearly, the given statement in symbolic form is \[p\to q\]. \[\therefore \] Its contrapositive is given by                 \[\sim q\to \sim p\] Now, \[\sim p:\] two triangles are not identical \[\sim q:\] two triangles are not similar \[\therefore \,\,\sim q\to \,\sim \,p:\] If two triangles are not similar, then these are not identical.


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