All 4 sided quadrilaterals will tessellate
The rectangle is the simplest and most obvious case of a geometrical form that can tile a plane.
A square, rectangle, rhombus, parallelogram, trapezium, kite and arrowhead will tessellate. Other quadrilaterals will not.
No
A square will tessellate leaving no gaps or overlaps but a circle does not tessellate.
Yes a rectangle will tessellate with no gaps or overlaps
No but a square will tessellate on its own.
Yes, rectangles will tessellate.
No, but an octagon and a square can tessellate.
Simply because if you join two of the same size (with one rotated by 180 degrees) along their longest side, they will form either a square or a rectangle. Both of those shapes tessellate
Yes because it will tessellate
Yes. Any shape can tessellate if you allow other shapes. The simplest way is to select the other shapes so that the given shape and the "other shapes" can be combined to make a rectangle or square.