Q: In which categories do trapezoids belong?

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Yes

Both trapezoids and rectangles are quadrilaterals.

how are trapezoids and rectangles

parallelograms have two sets of parallel lines trapezoids do not

No because they both have different geometrical properties although they both belong to class of 4 sided shapes known as quadrilaterals

Related questions

A rhombus is a 4 sided quadrilateral

noun, adverb

No trapezoids are parallelograms, and no parallelograms are trapezoids.

No trapezoids are parallelograms, and no parallelograms are trapezoids.

No trapezoids are parallelograms, and no parallelograms are trapezoids.

No trapezoids are parallelograms, and no parallelograms are trapezoids.

There are isosceles trapezoids which are sometimes called regular trapezoids.

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Yes

All quadrilaterals are 4 sided shapes which includes trapezoids.

No. Trapezoids are not parallelograms at all.

A hexagon has 2 trapezoids