For 28 quadrilateral shapes and 1000 triangle centers, the paper catalogs relationships such as area ratios, similarity, concurrence, and homothety between a quadrilateral and its central quadrilateral.
https://www.jstor.org/stable/2690608
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More Relationships between a Central Quadrilateral and its Reference Quadrilateral
For 28 quadrilateral shapes and 1000 triangle centers, the paper catalogs relationships such as area ratios, similarity, concurrence, and homothety between a quadrilateral and its central quadrilateral.