Write the contrapositive and converse of the following statements.

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

(ii) It 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

Asked by Pragya Singh | 11 months ago |  64

##### Solution :-

(i) Contrapositive: If x is not odd, then x is not a prime number.
Converse: If x is odd, then x is a prime number.

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

(iii) Contrapositive: If something does not have low temperature, then it is not cold.
Converse: If something has low temperature, then it is cold.

(iv) Contrapositive: If you know how to reason deductively, then you can comprehend geometry.
Converse: If you do not know how to reason deductively, then you cannot comprehend geometry.

(v) Contrapositive: If x is not divisible by 4 , then x is not an even number.
Converse: If x is divisible by 4 , then x is an even number

Answered by Abhisek | 11 months ago

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