We don't know who said that, but it's not true. Some quadrilaterals are trapezoids
and some aren't.
A quadrilateral is any drawing with four sides.
A trapezoid is any drawing with four sides and two of the sides are parallel.
So all trapezoids are quadrilaterals. But there are a lot of other quadrilaterals
that aren't trapezoids.
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No, a quadrilateral isn't always a trapezoid. One way to consider it is that all trapezoids are quadrilaterals (four-sided shapes), but not all quadrilaterals are trapezoids. Some quadrilaterals are concave quadrilaterals, some are scalene convex quadrilaterals (called trapezoids in the UK), some would be trapezoids, and some would be parallelograms (rectangles, squares, rhomboids, rhombi). If parallelograms are considered a special case of trapezoids, then trapezoids would include all non-scalene convex quadrilaterals, which is a highly inclusive definition.
No but a trapezoid does belongs to the class of 4 sided quadrilaterals.
No because all trapezoids are 4 sided quadrilaterals with 4 interior angles that add up to 360 degrees.
False but they are both 4 sided quadrilaterals
There are many different quadrilaterals such as squares, trapezoids, rectangles, rhombus and parallelogram.