No.
Yes it does tesselate.
It is possible, but not always true.
There are many shapes: circles, ellipses, ovals (elongated circles), cardioids, any shape with a "hole" in it such as a annulus.Polygons will tessellate if combined with other suitable polygons.
Yes, any quadrilateral will tessellate.
A regular pentagon will not tessellate.
No.
No
transversal
Yes
Some 3D shapes will tessellate as for example a brick wall
Yes because all 4 sided quadrilaterals will tessellate
Yes it does tesselate.
Usually not. A part of a circular shape will not.
No it does not tessellate you have to pentagons in order for it to tessellate. * * * * * It is not at all clear what "have to pentagons" has to do with this. No polygon with 7 or more sides will tessellate. Octagons will tessellate if mixed with squares but that is not "proper" tessellation since it involved more than one shape.
It will tessellate if its vertices divide into 360 degrees evenly. The only regular polygons that will tessellate are an equilateral triangle, a square and a regular hexagon. There are other, non-regular, polygons that will tessellate.
Any shape tesselates any of its covering spaces.