false
No it is not.
Inly if the polygon has 3, 4 or 6 sides.
Regular Hexagon, Square, and Equilateral Triangle. (Apex)
An octagon can be used to create a tessellation, but an octagon cannot tessellate on its own.
A regular pentagon has no parallel lines, but you can create an irregular pentagon with one pair of parallel lines if you make a traditional 'house' shape with parallel 'walls'.
No it is not.
yes
Yes
false
Inly if the polygon has 3, 4 or 6 sides.
Assuming that the question refers to a regular octagon (not a regualr otagon), the answer is no.
No, it is not possible to create a regular tessellation using regular heptagons. A regular tessellation requires that the interior angles of the shapes used add up perfectly around a point, and the interior angle of a regular heptagon is approximately 128.57 degrees. Since this angle does not divide evenly into 360 degrees, regular heptagons cannot tessellate the plane without leaving gaps or overlapping.
No - because they would leave a small, square-shaped space between each tile.
Suppose all the pentagon have two adjacent angles of 45 degrees, and three right angles. Create a line of pentagons with their bases aligned and their "odd" vertext facing upwards. Next create a second line of pentagons, inverted so as to meet the first line apex-to-apex. The gaps between these will be rectangular (square, in fact). It is thus possible to obtain a tessellation. No tesselation is possible with regular pentagons and rectangles.
Regular Hexagon, Square, and Equilateral Triangle. (Apex)
regular hexagon, square, equilateral triangle...apex
regular hexagon