Answer:
Option C
Explanation:
A "tessellation" is a flat covering of 2D geometric shapes. A shape in a tessellation is called a "tile".
Tessellations can be in a pattern that goes 'forever', and they cannot overlap. This eliminates A and D, since they are true.
A "tessellation" cannot have any spaces. This eliminates option B, since this is true. Since a circle and an eclipse have curved sides, they can not tessellate on their own. Regular pentagons and octagons will also not tessellate on it's own. Any shape that are put together and leave a gap will not tessellate.
I have attached a picture showing why circles and pentagons will not tessellate.
So, not any 2D shape would tessellate. Option C's statement is false.
Option C should be the correct answer.