Study Guides/Maths/Vertices of a Triangle
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What are the Vertices of a Triangle?

When studying basic Geometry in school, we learn to describe 2D and 3D shapes using three main words: Faces, Edges, and Vertices. Let's break down exactly what the 'Vertices' are when looking at a simple Triangle.

Question (Click to Flip)

How many vertices does a circle have?

Answer

A circle has Zero (0) vertices. Because a circle is made of one continuous, perfectly curved line, there are no straight lines that meet to form a sharp corner or an angle.

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Key Facts

The word 'Vertex' comes from a Latin word meaning 'the highest point' or 'the peak'. This is why the sharp point at the very top of a pyramid or a cone is also called its vertex!

Definition of a Vertex

In geometry, a Vertex (singular) is a point where two straight lines or edges meet to form an angle. In simpler, everyday language, a vertex is the corner or the sharp point of a shape.

  • Singular: Vertex
  • Plural: Vertices (pronounced ver-ti-seez)

How many vertices does a Triangle have?

By definition, a triangle is a closed 2D polygon made of three straight lines. Because there are three lines intersecting, a triangle always has exactly 3 Vertices.

  • It has 3 Edges (the straight sides).
  • It has 3 Vertices (the sharp corners).
  • It has 3 Interior Angles (located exactly at the vertices).

How Vertices are Used to Name Shapes

In mathematics, vertices are incredibly important because they give a shape its 'Name'.

  • When you draw a triangle, you label its three sharp corners with capital letters, usually A, B, and C.
  • The triangle is then officially named $\Delta ABC$.
  • The straight line connecting Vertex A to Vertex B is called the Edge 'AB'.
  • The angle located at Vertex A is called $\angle A$ or $\angle BAC$.

Questions and Answers

How many vertices does a circle have?+

A circle has **Zero (0)** vertices. Because a circle is made of one continuous, perfectly curved line, there are no straight lines that meet to form a sharp corner or an angle.

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