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a two - column proof uses a visual representation of the logical flow o…

Question

a two - column proof
uses a visual representation of the logical flow of steps needed to reach a conclusion
contains a table with a logical series of statements and reasons that reach a conclusion
contains a set of sentences explaining the steps needed to reach a conclusion
uses inductive reasoning to prove a statement

Explanation:

Brief Explanations

A two - column proof has two columns. One column is for statements (like what is being proved or steps in the proof) and the other column is for the reasons (the justifications for each statement, such as theorems, postulates, or definitions). It is a tabular (table - like) format.

  • Option A: A visual representation of the logical flow is more like a flowchart proof, not a two - column proof.
  • Option C: A set of sentences explaining steps is a paragraph proof, not a two - column proof.
  • Option D: Two - column proofs use deductive reasoning (starting from general principles and applying them to specific cases to prove a statement), not inductive reasoning (which is more about generalizing from specific examples).

Answer:

B. contains a table with a logical series of statements and reasons that reach a conclusion