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===Properties of the diagonals in quadrilaterals=== In the following table it is listed if the diagonals in some of the most basic quadrilaterals bisect each other, if their diagonals are [[perpendicular]], and if their diagonals have [[congruence (geometry)|equal length]].<ref>{{Cite web|url=https://math.okstate.edu/geoset/Projects/Ideas/QuadDiags.htm|title=Diagonals of Quadrilaterals -- Perpendicular, Bisecting or Both|website=Math.okstate.edu|access-date=1 March 2022}}</ref> The list applies to the most general cases, and excludes named subsets. {| class="wikitable" |- ! scope="col" | Quadrilateral ! scope="col" | Bisecting diagonals ! scope="col" | Perpendicular diagonals ! scope="col" | Equal diagonals |- ! scope="row" | [[Trapezoid]] | {{No}} || ''See note 1'' || {{No}} |- ! scope="row" | [[Isosceles trapezoid]] | {{No}} || ''See note 1'' || {{Yes}} |-<!-- ! scope="row" | [[Right trapezoid]] || ''See note 3'' || ''See note 1'' || {{No}} |---> ! scope="row" | [[Parallelogram]] | {{Yes}} || {{No}} || {{No}} |- ! scope="row" | [[Kite (geometry)|Kite]] | ''See note 2'' || {{Yes}} || ''See note 2'' |- ! scope="row" | [[Rectangle]] | {{Yes}} || {{No}} || {{Yes}} |- ! scope="row" | [[Rhombus]] | {{Yes}} || {{Yes}} || {{No}} |- ! scope="row" | [[Square]] | {{Yes}} || {{Yes}} || {{Yes}} |} * ''Note 1: The most general trapezoids and isosceles trapezoids do not have perpendicular diagonals, but there are infinite numbers of (non-similar) trapezoids and isosceles trapezoids that do have perpendicular diagonals and are not any other named quadrilateral.'' * ''Note 2: In a kite, one diagonal bisects the other. The most general kite has unequal diagonals, but there is an infinite number of (non-similar) kites in which the diagonals are equal in length (and the kites are not any other named quadrilateral).''
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