Write the contrapositive and converse of the following statements.

(i) If x is a prime number, then x is odd.

(ii) If the two lines are parallel, then they do not intersect in the same plane.

(iii) Something is cold implies that it has low temperature.

(iv) You cannot comprehend geometry if you do not know how to reason deductively.

(v) x is an even number implies that x is divisible by 4.

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    Answered by

    alok kumar singh | Contributor-Level 10

    3 months ago

    This is a  Mathematical Reasoning Solutions Type Questions as classified in NCERT Exemplar

    (i) Contrapositive

    If a number x is not odd, then x is not a prime number.

    Converse

    If a number x is odd, then it is a prime number.

    (ii) Contrapositive

    If two lines intersect in the same place, then the two lines are not parallel.

    Converse

    If two lines do not intersect in the same place, then they are parallel.

    (iii) Contrapositive

    If something does not have a low temperature, then it is not cold.

    Converse

    If something is at a low temperature, then it is cold.

    (iv) Contrapositive

    If you know how to reason deductively, then you can comprehend geo

    ...more

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