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.

Contrapositive - It is done by Adding 'not' to both component statements & charging order

p ⇒ q

~q ⇒ ~p

Converse - It is done by changing order of statement

p ⇒ q

then q ⇒ p

(i) Contrapositive

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

Converse

If a number 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 is not at low temperature, then it is not cold.

Converse

If something is at 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 can not comprehend geometry.

(v) This statement is not in if-then form

Writing in if-then form

This statement can be written as "if x is an even number, then x is divisible by 4".

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.