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Some things you need to remember when creating a two column proof in geometry is that your
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first column is your statements column and your second column is your reasons column. In your
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statement column you list the logical steps used to get from the givens to the proof statement.
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You should show all your words. The reasons column should only contain given
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theorems, postulates and definitions. If you need to say more than that then it should be an
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extra statement. There should be no reason to have to explain more than just giving the theorem
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from the postulate or definition. Do not use theorem numbers or postulate numbers. Either
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use the theorem name or we could call it property name or state it out. The reason we don't
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use theorem numbers or postulate numbers is because those change from book to book. And what's
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really important is that you remember what exactly the theorem or postulate says not that it was
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theorem one or postulate one because that won't mean anything if you go to another course or
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another book. If you know the actual wording of the theorem or the definition then you'll be
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more likely to recognize that you've used it in your statements. And those are the keys to
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forming a two column proof in geometry.