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Created in 2021, the Vaccarella Theorem of Quadrilaterals places an emphasis on the vagueness which can be applied to everyday examples. A rectangle, in terms of quadrilaterals, is a specific parallelogram in which each pair of adjacent sides is perpendicular. On the contrary, squares are regular quadrilaterals that have four equal sides, along with four right angles. Using this information, one can identify that squares have more specific conditions than rectangles. Moreover, all squares are rectangles, but not all rectangles are squares. This means that squares can be viewed as the less vague topic in any situation, due to them being less likely to occur in the world of quadrilaterals. On the other hand, Rectangles can be seen as the more vague topic, due to them requiring less conditions to exist. One could use this when analyzing any given situation. For example, if one was to look at the issue of poverty within the United States, the Vaccarella Theorem of Quadrilaterals could be applied by saying that the general issue of poverty is the rectangle, whereas the issue of homelessness could be seen as the square. The Vaccarella Theorem of Quadrilaterals goes further than just rectangles and squares, and if needed, one can apply even more quadrilaterals to further differentiate parts of a situation, by simply increasing the complexity of quadrilaterals and adding them to the comparison.

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