Agent Smith
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It's likely that I was taught only baby transformations where some details were left out for simplicity. Si, I do recall losing points when I failed to recognize ##\triangle ABC## was not the same as ##\triangle CBA##. When does orientation become important? The example above was a step in the proof of the Pythagorean Theorem, cogito (fairly certain).FactChecker said:It can be rotated if it has an initial direction. Vectors have length and direction. A length (eg length=5 feet) does not. I wouldn't say that all transformations require a direction.
A straight line segment would need to be given an orientation before you could say that it was "rotated".
Every side of a given triangle has a length and two endpoints. We would have to do more. Each side would need a starting point and a endpoint so that they have directions. For instance, there would be clockwise and counterclockwise orientations of the sides. And some might have mixed combinations of side orientations that are neither all clockwise or all counterclockwise.