Question

If a statement converse is true, then the statement has to be true. true or false

Answer 1

Let S be the statement: "My cat is black therefore all cats are black"

The converse of S is true: "If all cats are black my cat is black"

But S is false.

Answer 2

(In general if S is a statement "A implies B", the converse of S is the statement: "B implies A".)