Are vertices found on 2D shapes?

Answer 1

Of course. Every triangle has three of them, and every rectangle has four.

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Whereupon the first contributor replied:

Here's some material from the "Math Open Reference" website:

Definition of 'vertex': The common endpoint of two or more rays or line segments.

Vertex typically means a corner or a point where lines meet. For example a square 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.

The word vertex is most commonly used to denote the corners of a polygon. For examples,

see the definitions of Regular Polygon, Triangle, and Quadrilateral.

When two lines meet at a vertex, they form an included angle. For polygons, the included

angle at each vertex is an interior angle of the polygon.

Vertex is also sometimes used to indicate the 'top' or high point of something, such as

the vertex of an isosceles triangle , which is the 'top' corner opposite its base, but this

is not its strict mathematical definition.

The lines don't cross. The two line segments 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.

Solid GeometryIn solid geometry, a vertex is the point where three or more edges meet. The cube has

eight vertices. In everyday terms, a vertex of a solid shape is a 'corner'.