Determine if the given regular figures form semi regular tessellation.
Triangle,decagon,15-gon
Yes or no
In order to determine if the given regular figures form a semi-regular tessellation, we need to check if the polygons meet certain criteria.
A semi-regular tessellation requires two or more regular polygons to appear in a repeating pattern, with the same polygons meeting at each vertex and the same number of polygons meeting at each vertex.
Let's analyze the given regular figures one by one:
1. Triangle - A triangle is a regular polygon. It meets the criteria for a semi-regular tessellation.
2. Decagon - A decagon is also a regular polygon. It meets the criteria for a semi-regular tessellation.
3. 15-gon - A 15-gon (a fifteen-sided polygon) is not a regular polygon. It is impossible for the 15-gon to meet the criteria for a tessellation.
Since one of the given figures, the 15-gon, is not a regular polygon, the given regular figures do not form a semi-regular tessellation.
The answer is no.
To determine whether the given regular figures form a semi-regular tessellation, we need to understand what a semi-regular tessellation is.
A tessellation is a pattern made up of one or more shapes that completely cover a plane without any gaps or overlaps. A semi-regular tessellation is a specific type of tessellation in which different regular polygons are used in a repeating pattern.
In a semi-regular tessellation, the vertices (corner points) of the regular polygons must meet in the same way at each corner in the pattern.
Let's analyze the regular figures given: a triangle, a decagon (10-sided polygon), and a 15-gon (15-sided polygon).
For a regular figure to be part of a semi-regular tessellation, it must meet certain criteria. The angles and number of sides of the polygons that meet at each vertex must be the same across the entire tessellation.
In this case, a triangle has three sides, a decagon has ten sides, and a 15-gon has fifteen sides. Since these figures have different numbers of sides, they cannot meet the criteria for a semi-regular tessellation.
Therefore, the answer is no, the given regular figures (triangle, decagon, 15-gon) do not form a semi-regular tessellation.