Because all sides are the same length, and it is a regular shape. It tessellates, because if you lay squares of the same size adjacent to each other, they will leave no gaps.
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No, but an octagon and a square can tessellate.
No, a square and a pentagon cannot tessellate together. In order for two shapes to tessellate, their angles must add up to a multiple of 360 degrees. A square has angles of 90 degrees, while a regular pentagon has angles of 108 degrees. Since 90 and 108 do not add up to a multiple of 360, these shapes cannot tessellate together.
No.
square and octagon
Square.