Yes, but only an infinite plane.
Some 3D shapes will tessellate as for example a brick wall
transversal
Yes because all 4 sided quadrilaterals will tessellate
Usually not. A part of a circular shape will not.
All triangles will tessellate. All quadrilaterals will tessellate There are 15 classes of convex pentagons (the latest discovered in 2015) which will tessellate. Regular hexagons will tessellate. In addition, there are 3 classes of irregular convex hexagons which will tessellate. No convex polygon with 7 or more sides will tessellate.
Yes
A regular pentagon will not tessellate.
No.
Some 3D shapes will tessellate as for example a brick wall
No
transversal
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.
Yea
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.