From Latin: vertex "highest point"
Vertex typically means a corner or a point where lines meet. For example a
has four corners, each is called a vertex.
The plural form of vertex is vertices. (Pronounced: "ver - tiss- ease"). A square for example has four vertices.
When two lines meet at a vertex, they form an
For polygons, the included angle at each vertex is an
interior angle of the polygon.
The word vertex is most commonly used to denote the corners of a
polygon. For examples see:
Vertex is also sometimes used to indicate the 'top' or high point of something,
such as the vertex of an
, which is the 'top' corner opposite its base, but this is not its strict mathematical definition.
The lines don't cross.
The two lines that define the vertex meet at their end points. If they cross, the point where they cross is called the
intersection of the two lines.
It is not a vertex.
In solid geometry, a vertex is the point where three or more edges meet. In the
one vertex of its possible eight is pointed out. In everyday terms, a vertex of a solid shape is a 'corner'.
Vertex of a Parabola
A parabola is the shape defined by a quadratic equation.
The vertex is the peak in the curve as shown on the right.
The peak will be pointing either downwards or upwards depending on the sign of the x2 term.
For more on quadratic equations and the parabolas they define see
Quadratic Explorer where you can experiment with the
equation and see the effects on the resulting parabola.
Other point topics
(C) 2011 Copyright Math Open Reference. All rights reserved