A. Congruence of line segments is an equivalence relation. B. Given any line segment AB AB...

  

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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 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. 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.