Postulates
Definitions
Corollaries
Logically invalid statements.
theoremPostulates(apex)postulatesdefinitioncollaries
In a proof, statements that are purely opinion-based or subjective, such as personal beliefs or interpretations, cannot be used to justify steps. Additionally, unsupported assertions that lack logical reasoning or empirical evidence, as well as circular reasoning where the conclusion is included in one of the premises, are also invalid. Lastly, statements that are not universally accepted or established laws, such as conjectures that have not been proven, cannot justify proof steps.
Mathematical logic.
no
Logically invalid statements.
theoremPostulates(apex)postulatesdefinitioncollaries
Theorems, definitions, corollaries, and postulates
In a proof, statements that are purely opinion-based or subjective, such as personal beliefs or interpretations, cannot be used to justify steps. Additionally, unsupported assertions that lack logical reasoning or empirical evidence, as well as circular reasoning where the conclusion is included in one of the premises, are also invalid. Lastly, statements that are not universally accepted or established laws, such as conjectures that have not been proven, cannot justify proof steps.
No
no
Mathematical logic.
guess and conjeture
Since you didn't include the statements in your question there is no way for us to know
Yes, of course.
conclusion
we use various theorems and laws to prove certain geometric statements are true