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No. 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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Q: All Quadrilaterals are trapezoids

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Yes.

No, not all quadrilaterals are square. A square is a shape with 4 equal sides with 4 right angles. But there are other quadrilaterals like parallelogram and rectangles and trapezoids.

Any that are not a parallelogram (rhombus, rectangle, square). These would include all irregular quadrilaterals as well as trapezoids (trapeziums) which have only one set of parallel sides.

No trapezoids are parallelograms, and no parallelograms are trapezoids.

Quadrilaterals are things with four sides, like squares, rectangles, diamonds, trapezoids, rhombuses. Anything that doesn't have four sides (an infinite list) is a non-example of a quadrilateral.

Related questions

All quadrilaterals are 4 sided shapes which includes trapezoids.

Yes because all 4 sided shapes are quadrilaterals which includes trapezoids.

Yes.

trapezoids are trapezoids and squares are squares but all are quadrilaterals.

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, 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.

All polygons with 4 sides are called quadrilaterals which includes trapezoids

No but they are all 4 sided quadrilaterals

Rhombuses, rectangles, kites, parallelograms, and trapezoids are all irregular quadrilaterals.

No because all quadrilaterals are 4 sided shapes which includes parallelograms, trapezoids, squares, rectangles, kites......etc

Trapezoids are 4 sided quadrilaterals

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