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.
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 there are several ways to tesselate this figure.
Yes. Tessellated hexagons are the basis of many natural structures such as honeycombs.
No.
No, it cannot.
No, you cannot.
No