Understanding Vertices in Geometry: Importance, Definition, and Examples

vertex/vertices

a corner or a point where lines meet

In geometry, a vertex (plural vertices) is a point in a two-dimensional or three-dimensional space where two or more lines, curves, or surfaces meet. A vertex is also known as a corner or an apex.

In a two-dimensional shape such as a square, the vertices are the corners of the shape where the sides intersect.

In a three-dimensional shape such as a cube, the vertices are the eight points where the edges intersect.

Knowing the location of vertices is essential for understanding and calculating the properties of polygons and polyhedra. It is particularly important in the measurement of angles, distances, and surface areas of geometric objects.

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