There is something wrong. My posts have been deleted twice now! grrrr
We all know that this a vast left-wing and/or right-wing conspiracy to suppress the truth about trapezia!
One more time...
In British usage trapezium is a synonym for trapezoid.
In American usage it is something else entirely. It is a four-sided figure that has no parallel sides. Now don't ask me why it is necessary to have a name for such a shape...
/Kayyam