Yes, a trapezoid is a quadrilateral.
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Yes because a quadrilateral has 4 sides, and an Isosceles trapezoid has 4 sides, just 2 of them are equal. :)
It is true that every trapezoid is a quadrilateral
Yes, because it has 4 sides.
A trapezoid is always a 4 sided quadrilateral
A trapezium is always a quadrilateral.