Write the proof of the corollary. Corollary : If two lines in a plane are parallel to a third line in the plane then those two lines are parallel to each other .
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Here's the proof: We are given that l || m and line m || n. Take a transversal t intersecting all three lines. Now, as you know, with parallel lines, corresponding angles are congruent. ... Now, it is important to make sure that there is an overlapping angle on line m between the two pairs.
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