The converse of a statement always has to be true, if the statement is true.
Question
The converse of a statement always has to be true, if the statement is true.
Solution
No, that's not correct. The converse of a statement does not always have to be true, even if the original statement is true.
For example, consider the statement "If it is raining, then the ground is wet." This statement is likely true. However, the converse of this statement is "If the ground is wet, then it is raining." This converse is not necessarily true, because there could be other reasons why the ground is wet (for example, someone could have watered the plants).
So, while a statement and its converse are related, they are not always both true.
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