A regular hexagon will tessellate.
yes it will
Yes because it will tessellate
If their interior angles are a factor of 360 degrees, they will tessellate. Otherwise, they can't.
A regular octagon will not tessellate but an irregular one can.
Yes a triangle will tessellate leaving no gaps or overlaps
Sort of. Triangle is one of the shape that may tessellate(fit tightly). But one may argue that triangle is not a square (for sure), nor a tile (yet I think it may be) to a tessellate.
The rectangle is the simplest and most obvious case of a geometrical form that can tile a plane.
If it's interior angle is a factor of 360 then it will tessellate such as a square, a regular hexagon and an equilateral triangle.
Find the area of the tile and this will depend on the shape of the tile. Tiles for regular or semi-regular tessellation may be triangular, quadrilateral (square, rectangular, rhombic, parallelograms, trapeziums), hexagonal or octagonal. The formula for the area in each case, is likely to be different.
For a shape to tile a plane, it must be capable of sharing a border with a copy of itself. Circles cannot do this; two circles which do not overlap touch in at most one point.
I would think that the obvious answer would be yes. maybe I am missing something in the question why would one think that you could not tile a seven sided polygon? * * * * * Yes, maybe you are missing something - mathematic reality. There are no polygons - regualr or irregular of 7 or more sides which will tessellate with identical shapes.