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A. Congruence of line segments is an equivalence relation. B. Given any line segment AB AB and a line / containing point C, there

  

A. Congruence of line segments is an equivalence relation. B. Given any line segment AB AB and a line / containing point C, there exists exactly two points D and E on / such that D-C-E and DC = CE AB. Provide a careful multicolumn proof of part A of this proposition. Be careful of your terminology. For example, we talk about symmetric relations, not symmetric line segments.

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