Yes
Yes.
Yes
Yes under certain dimensional conditions.
A square, rectangle, rhombus, parallelogram, trapezium, kite and arrowhead will tessellate. Other quadrilaterals will not.
A parallelogram has 2 pairs of opposite parallel sides It has 4 interior angles that add up to 360 degrees It has 2 diagonals Its perimeter is the sum of its 4 sides It will tessellate Its area is base times perpendicular height
This is the fundamental, or primary, cell. Parallelograms will all tessellate. You can see that every part needed to make up the full foxes picture is contained in the parallelogram. All you need to do is to repeat them and you get the full tessellation. By joining similar points in a tessellation, it should usually be possible to work out the fundamental cell. In 2 motif tessellations it will contain both of them! http://www.tessellations.org/diy-basic1.htm
No cones can not tessellate.
Yes * * * * * No. A star will not tessellate.
A square will tessellate leaving no gaps or overlaps but a circle does not tessellate.
No, it can't be tessellate.
yes * * * * * No, they do not tessellate.
yes... this figure does tessellate