It is a quadrilateral having neither pair of sides parallel. Or as a four sided polygon, two sides are parallel and two are not
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how are trapezoids and rectangles
Yes
Most of the time trapezoids are similar but in some cases they are not Depends on what you call "similar." In mathematics, "similar" triangles have the same angles, but differ in size. One might be a shrunken version of the other. In that case, they are usually not. The only requirement for a trapezoid is the four sides with either pair of sides being parallel. So, yes, a square is a trapezoid as well. Try this: Draw two parallel lines. Now draw two lines connecting them anywhere you want. The enclosed area is the trapezoid. Can you see how there are an infinite number of trapezoids you can make?
Both trapezoids and rectangles are quadrilaterals.
parallelograms have two sets of parallel lines trapezoids do not