false
that is false just took the test!!
No - because they would leave a small, square-shaped space between each tile.
Most regular polygons will not - by themselves. In fact, of the regular polygons, only a triangle, square and hexagon will. No other regular polygon will create a regular tessellation.
Each angle in an equilateral triangle is 60 degrees. In order to create a regular tessellation of an area, we need for the angles of the polygons we are putting near each other to sum to 360 degrees. If you place six equilateral triangles so that all of them share a vertex, and each triangle is adjacent to two others, you get 60*6 = 360 degrees in that vertex. Please see related link for a demo of a triangular tessellation.
A triangle has the fewest amount of sides possible to create a closed figure.
That depends on what the shape of the faces of each side of the polyhedron is - since a ten-sided figure does not create a regular polyhedron, it is impossible to calculate its volume based simply on this information.
No it is not.
false
Each interior angle of a regular heptagon measures 900/7 degrees.The interior angles of all polygons meeting at a point must sum to 360 degrees. But that would require 360 / (900/7) = 2.8 - that is you would require 2.8 regular heptagons to meet at each vertex. Since it is not possible to have a fraction of a heptagon. the tessellation required by the question is impossible.
yes
Yes
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.
Regular Hexagon, Square, and Equilateral Triangle. (Apex)
regular hexagon, square, equilateral triangle...apex
No - because they would leave a small, square-shaped space between each tile.
regular hexagon
The only shapes which can be used for a regular tessellation are:An equilateral triangle,A squareA regular hexagon.There are also non-regular polygons as well as shapes which are not polygons which can tessellate