Tessellations

A vertex is the common endpoint of two or more rays or line segments. It is the point where these lines or segments meet or intersect. In geometry, vertices are important for defining shapes and angles. They are often represented as a dot or a point in diagrams.

A tessellation is a pattern that is created by repeating a shape without any gaps or overlaps. This means that the shapes fit perfectly together, like puzzle pieces, to cover a surface. It can be seen in various forms such as tiles on the floor or a picture composed of shapes all put together. The key characteristic of a tessellation is the absence of gaps or overlaps in the pattern.

Yes, the picture above is a tessellation. A tessellation is a repeating pattern of shapes that completely covers a plane without any gaps or overlaps. In the given picture, the shapes are repeated in a regular pattern and fill the entire space without leaving any gaps. Therefore, it can be concluded that the picture is a tessellation.

A polygon is a closed figure made by joining line segments. It is a shape that consists of straight sides and does not have any curved lines. The sides of a polygon do not intersect and the figure is completely closed. Examples of polygons include triangles, squares, rectangles, and pentagons.

A plane refers to a two-dimensional surface, which means it has only length and width but no depth. It can be visualized as a flat, infinite sheet that extends infinitely in all directions. Unlike a square or a box, which are specific shapes, a plane does not have a specific shape or boundaries. It is a fundamental concept in geometry and is often used as a reference for measuring and describing other geometric figures. Additionally, a plane is not a means of transportation, as mentioned in the options.

The picture above is a tessellation because it is a repeating pattern of shapes that completely covers the plane without any gaps or overlaps.

The answer is "No" because a tessellation is a repeating pattern of geometric shapes that completely cover a plane without any gaps or overlaps. In the given picture, there is no repetition or pattern of shapes, therefore it does not qualify as a tessellation.

Tessellations are a pattern of shapes that can be repeated infinitely without any gaps or overlaps. Since there is no limit to how many times a pattern can be repeated, tessellations can continue forever. Therefore, the correct answer is that they continue forever.

When two figures are adjacent, it means that two sides of the figures meet to form an angle. This indicates that the figures are positioned next to each other in a way that their sides are connected at a common point, creating an angle between them. This concept is commonly used in geometry to describe the relationship between two figures that share a common side.

Tessellations are patterns that are repeated. Tessellations are created by repeating a shape or a set of shapes in a way that they completely cover a surface without any gaps or overlaps. This repetition creates a visually appealing and cohesive pattern.