Question

Which is logically equivalent to the converse of a conditional statement?

the original conditional statement
the inverse of the original conditional statement
the contrapositive of the original conditional statement
the converse of the converse statement

Answer 1

The inverse of the original conditional statement.

Reason: If the original is p → q, the converse is q → p. The contrapositive of that converse is ¬p → ¬q, and a statement is equivalent to its contrapositive, so q → p ≡ ¬p → ¬q (the inverse of p → q).