Perhaps more elaboration is necessary.
Take the statement:
“If it rains, then they cancel school.”
This statement has a converse, an inverse, and a contrapositive:
Converse: “If they cancel school, then it rains.”
Inverse: “If they do not cancel school, then it does not rain.”
Contrapositive: “If it does not rain, then they do not cancel school.”
In this case, the statement and the contrapositive are true. The converse and inverse are sometimes true, but other times false.
Now, take this new statement:
“If a person is in great need, their guardian angel helps them.”
This statement has a converse, an inverse, and a contrapositive:
Converse: “If a person is not in great need, their guardian angel does not help them.”
Inverse: “If a person’s guardian angel helps them, they are in great need.”
Contrapositive: “If a guardian angel does not help his person, that person is not in great need.”
Once again, the statement and the contrapositive are true. And in this case, the converse and inverse are DEFINITELY false, as we know from Catholic teaching. That is, not only are they not logically following from the statement, but we know from outside information that they are false.