Regular hexagons and other shapes based on hexagons.
Polygons with 6k sides (positive integer k) where sets of k adjacent sides and angles are congruent to the next set, and other shapes based on these.
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Assuming it is regular, there should be 6 lines of symmetry, three running from a tip to the tip opposite it, and three through the points that the tips meet.
It only has 2 lines of symmetry because if you were to fold over its diagonals they wouldn't meet exactly unlike a square which will meet exactly from corner to corner.
Perpendicular lines meet at 90 degrees
Shapes can tessellate only if a number of them can meet at a point and cover 360 degrees without overlap. For regular shapes this requires that the angles of the shape are a factor of 360 degrees. For non-regular shapes it is necessary that the angles of the shapes can be grouped so that they sum to 360 degrees.
Yes