1. The problem requests a table of statements and reasons for each theorem. 2. Theorems vary widely across mathematics; each theorem typically has a specific statement (what it asserts) and a reason (proof or justification). 3. Since the user did not specify which theorems, I cannot generate a comprehensive table covering all theorems. 4. Instead, I can explain that "statement" refers to the formal declaration of a theorem (what is true) and "reason" refers to the proof or logical argument that establishes the truth of the theorem. 5. If needed, the user should specify the particular theorems to create such tables.