Square, Rectangle, Etc...
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You list them any way you like. You can refer to them by the names of the vertices ot their ends, or you can give them any other names.
There is no quadrilateral on that list that has only 1 pair of parallel sides.
Try this one. It has a little one that may help. intermath.coe.uga.edu/tweb/gcsu.../Faces%20edges%20and%20vertices.doc -
Advantages are that you can see the arc lengths disadvantages some times it doesn't work because of insufficient vertices's or arcs.