Vertices

In geometry, a vertex (plural: vertices) is a point where two or more line segments, lines, or edges meet. The term "vertex" comes from the Latin word for "turning point" or "whirlpool."

When referring to two-dimensional shapes, such as polygons, a vertex is typically the point at which two sides of the shape intersect. For example, a triangle has three vertices, while a square has four vertices. In three-dimensional shapes, such as polyhedra, a vertex is the point at which three or more edges meet. For instance, a cube has eight vertices.

Vertices are important in geometry because they define the corners or turning points of shapes and are crucial for determining the overall structure and properties of the shape. They are used in various geometric formulas and are essential for understanding the characteristics of different figures.

Understanding vertices is fundamental in geometry and lays the groundwork for more advanced concepts in mathematics and other fields such as computer graphics, architecture, and engineering.

Overall, vertices are key points in shapes that help define the shape's structure and are important for understanding and working with geometric figures.