Two.
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4
Four, if the quadrilateral is a square, but if it is a rectangle it only has two and if it is an irregular quadrilateral it most probably only has one. So a rectangle, a rhombus, and a parallelogram have two, orders of rotational symetry but a kite and a trapezium although quadrilaterals (4sides) only have one.
yes
None.
Inifity ... symmetry ... parallelogram ... infinity ...