Rhombus. Given a convex quadrilateral, the following properties are equivalent, and each implies that the quadrilateral is a trapezoid: It has two adjacent angles that are supplementary, that is, they add up to 180 degrees. i.e., one diagonal divides the other diagonal into exactly two halves. So to summarise the properties of a trapezium: a) A quadrilateral with a pair of parallel sides. An isosceles trapezium is a trapezium in which the non-parallel sides are equal in measure. Trapezium. The main property of a trapezium (as known in Great Britain) or trapezoid (as known in the United States) is that it is a 4 side shape with exactly one pair of parallel sides. Rectangle. An isosceles trapezium has two pairs of equal angles (
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