In geometry, a vertex is a point where two or more curves, lines, or edges meet or intersect). In the context of shapes, vertices are the points where two or more line segments or edges meet, like a corner. The plural of vertex is vertices. For example, a cube has 8 vertices, and a cone has one vertex. Vertices are sometimes called corners, but when dealing with 2D and 3D shapes, the word vertices is preferred.
To summarize, a vertex is a point where two or more curves, lines, or edges meet, and in the context of shapes, it is the point where two or more line segments or edges meet. The plural of vertex is vertices.