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===Rectangle-rhombus duality=== The [[dual polygon]] of a rectangle is a [[rhombus]], as shown in the table below.<ref>de Villiers, Michael, "Generalizing Van Aubel Using Duality", ''Mathematics Magazine'' 73 (4), Oct. 2000, pp. 303β307.</ref> {|class="wikitable" style="text-align:center" |- !Rectangle !! Rhombus |- |All ''angles'' are equal. ||All ''sides'' are equal. |- |Alternate ''sides'' are equal. ||Alternate ''angles'' are equal. |- |Its centre is equidistant from its ''[[Vertex (geometry)|vertices]]'', hence it has a ''[[circumcircle]]''. ||Its centre is equidistant from its ''sides'', hence it has an ''incircle''. |- |Two axes of symmetry bisect opposite ''sides''. ||Two axes of symmetry bisect opposite ''angles''. |- |Diagonals are equal in ''length''. ||Diagonals intersect at equal ''angles''. |} * The figure formed by joining, in order, the midpoints of the sides of a rectangle is a [[rhombus]] and vice versa.
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