Vertex
The common endpoint shared by the two rays that form an angle
In geometry, a vertex is defined as a point where two or more lines, rays, or line segments meet or intersect. With regards to polygons, which are two-dimensional closed shapes with straight sides, a vertex represents a corner point where two adjacent sides meet. The vertex of a polygon can be classified based on the number of sides that meet at that point. For example, a three-sided polygon (triangle) has three vertices, each with three sides meeting at a point, and a four-sided polygon (quadrilateral) has four vertices, each with four sides meeting at a point.
The term vertex is also used in graph theory, which is a branch of mathematics that deals with the study of graphs. In this context, a vertex is a point or node where edges or connections intersect, and is often represented by a circle or point in a graph. The number of vertices in a graph is equal to the number of nodes or points in that graph.
It is important to note that the plural of vertex is vertices.
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