If their interior angles are a factor of 360 degrees, they will tessellate. Otherwise, they can't.
A regular hexagon will tessellate.
Yes
Yes because it will tessellate
A regular octagon will not tessellate but an irregular one can.
Some shapes tile because they fit together.
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.
Yes a triangle will tessellate leaving no gaps or overlaps
The rectangle is the simplest and most obvious case of a geometrical form that can tile a plane.
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.
some shapes tile and some don't because if the side angles don't equal a factor of 360 degrees it will not tile and if the side angles do equal a factor a 360 degrees it willtile.
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.
An undecagon, which has 11 sides, cannot tessellate by itself because its interior angles do not allow for the angles to fit together without gaps or overlaps. The interior angle of a regular undecagon is approximately 147.27 degrees, and since it does not divide evenly into 360 degrees, it cannot be used to tile a plane on its own. However, it is possible to create a tessellation using a combination of undecagons and other shapes that fill the gaps.