Yes, a regular hexagon does tessellate.
Triangle, square, hexagon.
Yes; it will form a honey-comb shape. <http://gwydir.demon.co.uk/jo/tess/bighex.gif> for image.
No only three can tesselate. they are: An equilateral triangle, a square and a 6 sided hexagon.
By themselves, only 3: triangle, square and hexagon. But there are combinations: eg octagon + square.
Yes they do. In fact the honeycomb that bees make is a natural tessellation of the hexagon.
yes there are several ways to tesselate this figure.
You can do that by simply proving that the hexagon is a regular hexagon. You could do this by dividing the hexagon into 6 equilateral triangles of the same size successfully that tesselate to form a hexagon, thus proving that all sides are equal.
Yes. Tessellated hexagons are the basis of many natural structures such as honeycombs.
No, it cannot.
No.
No, you cannot.
No