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in this video were going to go over two column proofs with segments or basically you can say segment proofs so lets say we have this segment with the points a b c and d and were given that segment a b is congruent to segment cd our task is to prove that segment ac is congruent to segment bd go ahead and try that so lets create two columns were going to put the statements in the first column and then the reasons for those statements in the second column now the first thing we should write as our statement is whats given that is segment a b is congruent to segment cd and thats a given now whats the next step that we can do the next step is sort of a formality if segment a b is congruent to segment cd then mathematically speaking we can say that a b is equal to cd now whats the reason for this what can we put in the second column for this situation you can say definition of congruent segments so im not going to write the whole sentence out just to conserve space but you get the