Is this the correct decomposition of a honeycomb shaped like a hexagon into n - 2 triangles?
(1 point)
O Yes, this is the correct decomposition because the decomposition is 6 triangles.
No, this is not the correct decomposition because the decomposition is 4 triangles.
Yes, this is the correct decomposition because the decomposition has n - 2 = 6 - 2 = 4 triangles.
No, this is not the correct decomposition because the decomposition is 4 equal-sized triangles.
No, this is not the correct decomposition because the decomposition is 4 equal-sized triangles.
The correct answer is:
No, this is not the correct decomposition because the decomposition is 4 equal-sized triangles.
To determine whether the given decomposition of a honeycomb shaped like a hexagon into n - 2 triangles is correct, we need to consider the properties of a regular hexagon.
A regular hexagon has six equal sides and six equal angles. Each side of the hexagon can be a base for two triangles. So, the total number of triangles obtained by decomposing a regular hexagon is twice the number of sides.
In this case, we have a hexagon and we want to determine whether the decomposition gives us six triangles. Since a hexagon has six sides, we would expect the decomposition to yield 6*2 = 12 triangles, not 6 triangles.
Therefore, based on this analysis, the correct answer is:
No, this is not the correct decomposition because the decomposition is not 6 triangles.