It is possible to tessellate a plane with squares, triangles, and hexagons. To tessellate something means to cover it with repeated use of a single shape, without gaps or overlapping.
no * * * * * Actually, the answer is YES.
Yes. See: http://euler.slu.edu/escher/index.php/Tessellations_by_Polygons#Tessellations_by_Quadrilaterals
yes... this figure does tessellate
No it does not tessellate you have to pentagons in order for it to tessellate. * * * * * It is not at all clear what "have to pentagons" has to do with this. No polygon with 7 or more sides will tessellate. Octagons will tessellate if mixed with squares but that is not "proper" tessellation since it involved more than one shape.
A regular pentagon will not tessellate.
every quadrilateral will tessellate the plane? true or false
No. To tessellate a plane you would also need squares.
Yes, they will all tessellate an infinite plane.
No
circles and octagon do not tessellate as they overlap each other or leave spaces between them.
No because a regular polygon will only tessellate if its interior angle is a factor of 360 degrees. For example an equilateral triangle will tessellate because its interior angle is 60 degrees which is a factor of 360 degrees.
no * * * * * Actually, the answer is YES.
There are decagonal shapes which will tessellate the plane.
No.
No not normally
Yes
No.