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
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.