Yes.
It is an enlargement
An enlargement but the angle sizes will remain the same.
No it is not.
false
be equidistant from the center of the circle. APEX!
Yes, when three congruent regular hexagons overlap, they can create multiple distinct areas or compartments. Each pair of hexagons can intersect in a way that forms additional regions, and the intersection of all three can yield further compartments. The total number of distinct areas can exceed six, depending on the specific arrangement and overlap of the hexagons. By strategically positioning them, you can create a complex pattern with numerous distinct regions.
Yes
Certain polygons, yes. Squares, Triangles and Hexagons are all shapes which, in their regular form, can tessellate. Other polygons cannot.
Yes, regular pentagons and regular hexagons can fit together to tile a flat surface. This combination can create a tessellation pattern where the pentagons and hexagons alternate, filling the space without any gaps. However, it requires careful arrangement and specific angles to achieve a seamless fit, as the internal angles of these shapes are different. Generally, this type of tiling is more complex than using just one type of polygon.
All triangles will tessellate. All quadrilaterals will tessellate There are 15 classes of convex pentagons (the latest discovered in 2015) which will tessellate. Regular hexagons will tessellate. In addition, there are 3 classes of irregular convex hexagons which will tessellate. No convex polygon with 7 or more sides will tessellate.
9
To determine how many rhombuses can make four hexagons, we first need to understand the relationship between the shapes. A regular hexagon can be divided into six equilateral triangles, and if we consider a rhombus made of two triangles, it would take three rhombuses to create one hexagon. Therefore, for four hexagons, you would need 4 hexagons × 3 rhombuses/hexagon = 12 rhombuses in total.
Whatshapes/pictures can create tessellations?Triangles,hexagons & squares.
Six of them.
All triangles will tessellate. All quadrilaterals will tessellate There are 15 classes of convex pentagons (the latest discovered in 2015) which will tessellate. Regular hexagons will tessellate. In addition, there are 3 classes of irregular convex hexagons which will tessellate. No convex polygon with 7 or more sides will tessellate.
First, a hexagon has 6 sides. Second, congruent means the polygons are the same size and shape. Third, regular hexagon means that all of the angles and the same and the lengths of the sides are the same. For my explanation, let's work with squares. If you were to overlap two perfect squares, you would get at 1 area. Rotate one of those squares, and you will get 8 areas, 4 on the inside and 4 on the outside. Since there is also a center area, we have 9 areas. Working with two hexagons would give you 1 or 13 areas. Obviously, adding a third square or hexagon will not achieve 10 areas, so you can stop here. ------ If you overlap 3 hexagons you get 3 sections that are unique to each hexagon 1 section in the middle that is part of each hexagon 3 sections that are shared between only 2 hexagons Those 7 are straightforward - I drew 3 hexagons in powerpoint to visualize it The last 3 are a matter of interpretation, but they are there. it depends on what is meant by "distinct." There are an additional 3 sections that are made up of the outlines of the 3 sections that shared between only two hexagons plus the section in the middle. That gets you to 10. My 2 cents is that this is a poorly worded question because the answer could be 7 or 10 depending on the interpretation of distinct.
Yes, a regular polygon is a closed figure. It is defined as a polygon with all sides and angles equal, which forms a complete, enclosed shape. Examples of regular polygons include equilateral triangles, squares, and regular hexagons. Since they consist of straight line segments that connect back to the starting point, they inherently create a closed figure.