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by fjsolwmv
2988 days ago
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Congruent means that you have some relevant information that you are discarding (projecting away) information, such as position and rotation. It's just as correct to say equal if you've already established the relevant context / quotient space. Two triangles on a page are congruent, because they have different position. The three corners of an eauikao trisne are congruent, because their corner+angles are equal. If you take angle to mean corner, you say congruent. If you aren't also talking so about their position, you say equal. In math you can slice things every which way, so it's impossible to use the different words for every different concept, so you have to establish a context Equal vs congruent (and equal vs equivalent, which are also synonymous in math) is a crutch for beginners who are over reliant on their informal intuition. |
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