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kite
In a kite geometric shape, the diagonals are always perpendicular.
Yes indeed. Aerodynamics is a complex subject and it's researched intensively by scientific communities all over the world. The ultimate shape of a kite with regards to its flight capabilities has not yet been determined, and will most likely still take years to determine.
A quadrilateral in the shape of a kite has no parallel sides
A kite, a rhombus (special case of a kite), a square (a special case of rhombus).