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I understand that. However, is there any way what I said could be considered correct? Why EXACTLY is what I said incorrect?

The question was to find a counterexample for this: XY = YZ, then Y is the midpoint of Line Segment XZ. While there were many extremely easy counterexamples for this, such as an angle or triangle, I had a very different way of explaining it. I said that so long as the measure of XY was equal to...