Is it possible for a trapezoid to tessellate?

Yes, absolutely. All trapezoids can tessellate because all quadrilaterals tessellate the plane. Every trapezoid is half of a paralellogram, and parallelograms tessellate. Many trapezoids have additional ways of tessellating. Among the rep-tiles pictured here are five trapezoids. read more

Squares, rectangles, parallelograms, trapezoids tessellate the plane; each in many ways. Each of these can be arranged into an infinite strip with parallel sides, copies of which will naturally cover the plane. read more

But some of these are not perfectly of the one shape. Honeycomb is a natural tessellation. A (simple) tessellation is defined as a repeating tile pattern that will completely over an area without overlap or blank areas. When you enter higher geometries such as hyperbolic and so on, things get different. read more