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:

A two - column proof is a common method in geometry (a sub - field of Mathematics). It has two columns. One column is for the statements (what is being proved or the steps in the proof) and the other column is for the reasons (the justifications for each statement, such as definitions, postulates, or previously proven theorems).

• The first option about a visual representation of logical flow is more like a flowchart proof.
• The third option about a set of sentences is more like a paragraph proof.
• The fourth option about inductive reasoning is not the main characteristic of a two - column proof. Inductive reasoning is based on patterns and observations, while a two - column proof (in geometry) is based on deductive reasoning (using established facts to prove a conclusion).

Answer:

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