Vertices

In geometry, a vertex (plural: vertices) is a point where two or more line segments, lines, or edges meet. Vertices are the corner points of geometric shapes such as polygons, polyhedra, and other figures.

Example of Vertices

For example, in a triangle, the three points where the three sides meet are the vertices of the triangle. Similarly, in a rectangle, the four corner points where the four sides meet are the vertices of the rectangle.

Properties of Vertices

Vertices are important in defining the shape and structure of geometric figures. The number of vertices in a shape can help determine its properties, such as the number of sides, angles, and edges.

Types of Vertices

There are different types of vertices based on the geometric figures. For example, in 2D shapes like polygons, vertices are the corner points. In 3D shapes like polyhedra, vertices are the points where edges meet, and in graphs, vertices represent the nodes or points in the graph.

Understanding vertices is essential in geometry and helps in identifying, classifying, and working with different geometric shapes and figures.