Q.Write the contrapositive and converse of the following statements.

1. "If x is a prime number, then x is odd." Contrapositive: "If x is not odd, then x is not a prime number." Converse: "If x is odd, then x is a prime number."
2. "If the two lines are parallel, then they do not intersect in the same plane." 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."
3. "Something is cold implies that it has low temperature" (i.e., "If something is cold, then it has low temperature"). Contrapositive: "If something does not have low temperature, then it is not cold." Converse: "If something has low temperature, then it is cold."
4. "You cannot comprehend geometry if you do not know how to reason deductively" (i.e., "If you do not know how to reason deductively, then you cannot comprehend geometry"). Contrapositive: "If you can comprehend geometry, then you know how to reason deductively." …

First rewrite the sentence in clean "if p then q" form. Contrapositive = "if ¬q then ¬p" (negate both, swap order). …

• Mixing contrapositive and converse (negating when forming the converse, or forgetting to negate for the contrapositive). …