Yes.
See:
http://euler.slu.edu/escher/index.php/Tessellations_by_Polygons#Tessellations_by_Quadrilaterals
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no * * * * * Actually, the answer is YES.
It is possible to tessellate a plane with squares, triangles, and hexagons. To tessellate something means to cover it with repeated use of a single shape, without gaps or overlapping.
A quadrilateral is a closed plane figure with four straight sides.
No, it is a plane figure.
A quadrilateral has 4 sides whereas a polygon has many sides which includes a quadrilateral