Definition

1. Noun:
   • The highest point or top of something: "vertex" refers to the peak or summit of an object, especially a geometric shape or a physical structure.
   • The point of intersection of lines: In geometry, "vertex" is the point where two or more lines, edges, or curves meet.
   • The point opposite the base of a figure: In shapes like triangles and pyramids, the "vertex" is the corner opposite the base.

Examples of Usage

• Noun:
  • The vertex of the mountain was covered in snow. (The highest point of the mountain was covered in snow.)
  • In a triangle, each corner is called a vertex. (In a triangle, each corner is called a vertex.)
  • The vertex of the angle is clearly marked on the diagram. (The point where the two lines of the angle meet is clearly marked on the diagram.)

Advanced Usage

• "Vertex of a parabola": In mathematics, the turning point or maximum/minimum point of a parabolic curve.
  • The vertex of the parabola y = x² is at the point (0,0). (The turning point of the parabola y = x² is at the point (0,0).)
• "Vertex in graph theory": A fundamental unit (a node or point) in a graph or network.
  • Each person in the social network is represented as a vertex. (Each person in the social network is represented as a node.)

Variants and Related Words

• Vertices (n, plural): The plural form of "vertex".
  • A cube has eight vertices. (A cube has eight corners.)
• Vertexes (n, plural): An alternative, less common plural form of "vertex".
  • The polygon has five vertexes. (The polygon has five corners.)

Synonyms

• Apex: The top or highest part of something, especially one forming a point.
• Peak: The pointed top of a mountain or the highest point.
• Summit: The highest point of a hill or mountain.
• Pinnacle: The most successful point; the culmination or a high, pointed piece of rock.

Related Phrases

• "Vertex angle": The angle associated with the vertex of a polygon, especially in an isosceles triangle.
  • The vertex angle is the angle opposite the base of the triangle. (The angle opposite the base of the triangle is the vertex angle.)
• "Vertex form": A specific way of writing the equation of a parabola.
  • The quadratic equation is written in vertex form. (The quadratic equation is written in a form that highlights its turning point.)

Related Idioms

(Note: "Vertex" is a technical term and is not commonly used in idiomatic expressions. Its usage is primarily in academic, scientific, and geometric contexts.)

Noun

1. the highest point (of something)
   • at the peak of the pyramid
2. the point of intersection of lines or the point opposite the base of a figure