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Tessellate

Loosely speaking, a figure *tessellates* if the plane can be covered by congruent copies of the figure. Trivially, a parallelogram tessellates (whereas, for example, a regular pentagon doesn't). Many modifications of a parallelogram also tessellate.
Here the figure that tessellates is the polygon *AEBF'CE'DF*, a modification of the parallelogram *ABCD*. (The unlabeled point *E'* is the translation of point *E* by vector *DA*; similarly for *F'*.)

For more, see **GEOMETRY IN ACTION**, Chapter 7.