Answer :

(i) The contra positive statement for the statement "If x is a prime number, then x is odd" is "If a number is not odd, then x is not a prime number".

The converse statement for the statement "If x is a prime number, then x is odd" is "If a number x is odd, then it is a prime number".

(ii) The contra positive statement for the statement "If the two lines are parallel, then they do not intersect in the same plane" is "If two lines intersect in the same plane, then they are not parallel" and the converse statement is "If two lines do not intersect in the same plane, then they are parallel.

(iii) The contra positive statement for the statement "Something is cold implies that it has low temperature" is "If something is not at low temperature, then it is cold" and the converse statement is "If something is at low temperature, then it is cold.

(iv) The contra positive statement for the statement "You cannot comprehend geometry if you do not know how to reason deductively" is "If you know how to reason deductively, then you cannot comprehend geometry" and the converse statement is "If you do not know how to reason deductively, then you cannot comprehend geometry".

(v) The contra positive statement for the statement "x is an even number implies x is divisible by 4" is "If x is not divisible by 4, then x is not an even number" and the converse statement is "If x is divisible by 4, then x is an even number.

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