High Quality Content by WIKIPEDIA articles! In geometry, polygons are associated into pairs called duals, where the vertices of one correspod to the edges of the other. Regular polygons are self-dual. The dual of a isogonal (vertex-transitive) polygon is a isotoxal (edge-transitive) polygon. For example, the (isogonal) rectangle and (isotoxal) rhombus are duals. In a cyclic polygon, smaller angles correspond to shorter sides, and bigger angles to bigger sides – further, congruent sides in the original yield congruent angles in the dual, and conversely. For example the dual of an acute isosceles triangle is an obtuse isosceles triangle.

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