Since you didn't include the statements in your question there is no way for us to know
Logically invalid statements.
Yes. That is what theorems are for. Once proven, their results do not need to be justified again (except for exams).
Mathematical logic.
no
Since you didn't include the statements in your question there is no way for us to know
conclusion
yes
There cannot be a proof because the statement is not true.nowhere does the statement say
guess and conjeture
Guess Conjecture
Yeah
Logically invalid statements.
Theorems, definitions, corollaries, and postulates
corresponding angles
AAA (angle angle angle) cannot be used as a reason in a proof when proving triangles congruent .
There cannot be a proof because the statement need not be true.