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In a two-column proof, it is true that the left column states your reasons.
You list the steps of the proof in the left column, then you write the matching reasoning for each step in the right column.
The first column in a two column proof is used for mathematical statements. The second column is used to state the law or property that makes that statement true - often referring to previous statements in the first column.
True
A proof written in the form of a paragraph (as opposed to a two-column proof)