Final answer:
Tables are NOT characteristic of paragraph proofs, which use a narrative form to explain each statement along with math expressions and reasoning, rather than a tabular layout like two-column proofs.
Step-by-step explanation:
The characteristic that is NOT typical of a paragraph proof is A) Tables. A paragraph proof is a method of proving statements and theorems that are written in paragraph form. Unlike two-column proofs, which use a table format to show each statement along with its corresponding reason, paragraph proofs name all the statements and reasons within a narrative form in complete sentences. The use of tables is not in line with the format and structure of a paragraph proof.
In a paragraph proof, math expressions, reasoning, and unnumbered steps are commonly used. Math expressions are integrated into the narrative to explain relationships and calculations. The reasoning is essential, as it connects the math expressions and validates each step in the proof, while the steps serve to establish a logical flow.
An effective paragraph proof delivers a clear and logical argument, explaining why each statement is true, backed up with mathematical expressions and reasoning. However, unlike two-column proofs, the exact order and number of these statements can be flexible. The critical element is the logical progression of ideas that validates the conclusion.