Yes
a
Yes, all triangles can be tessellated. To tessellate any triangle, take six instances of the triangle and arrange them such that they form a hexagon. This will be a repeatable pattern so being a tessellation
No
No.
There are several different types of symmetry. Some of these include reflectional symmetry or rotational symmetry. It depends on how the plane has been tessellated.
Yes. A simple case would be where they combine into a square.
Yes. A regular tessellation can be created from either an equilateral triangle, a square, or a hexagon.
a
Translations, in the direction of a side of the triangle by a distance equivalent to any integer multiple of its length.Rotation about any vertex by 180 degrees.
A chessboard is tessellated, so I assume it is a figure that is checkered.
Yes, all triangles can be tessellated. To tessellate any triangle, take six instances of the triangle and arrange them such that they form a hexagon. This will be a repeatable pattern so being a tessellation
No
No.
Yes
In a normal plane, only regular polygons with interior angles that are a factor of 360o can be tessellated. This means only three shapes: the regular (equilateral) triangle, the regular quadrilateral (square) and the regular hexagon. If the line were considered a regular polygon (with only two sides) then it would also be included in this list.
star and circle
no it can not i have research it thoroughly i could not find any pictures of a regular decagon tessellated. i did but they all had different shapes so the answer is no it is not logically possible