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Concept of Polygons - Side, Vertex, Adjacent Sides, Adjacent Vertices and Diagonal

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Topics

definition

Polygon: Polygon refers to a closed 2D shape which is made up of a finite number of the line segments.

Sides: The line segments forming a shape are called its sides.

Vertex: The meeting point of a pair of sides is called its vertex.

Adjacent sides: Any two sides with a common endpoint are called the adjacent sides.

Adjacent vertices: The endpoints of the same side of a polygon are called the adjacent vertices.

Diagonal: A diagonal is a line segment connecting two non-consecutive vertices of a polygon.

notes

Polygons:

  • A polygon is a simple closed curve made up of line segments.

  • Polygon comes from Greek. Poly- means "many" and -gon means "angle".

  • Polygon refers to a closed 2D shape which is made up of a finite number of the line segments.


  • Here,

                 

  • The line segments forming a polygon are called its sides.
    Sides are `bar"AB", bar"BC", bar"CD", bar"DE" and bar"EA"`.

  • The meeting point of a pair of sides is called its vertex.
    Sides `bar "AE" and bar "ED"` meet at E,
    so E is a vertex of the polygon ABCDE.

  • Any two sides with a common endpoint are called the adjacent sides of the polygon.
    Sides `bar "AB" and bar "BC"` are adjacent sides.

  • The endpoints of the same side of a polygon are called the adjacent vertices.
    Vertices E and D are adjacent, whereas vertices A and D are not adjacent vertices. 

  • A diagonal is a line segment connecting two non-consecutive vertices of a polygon.
    `bar"AC", bar"AD", bar"BD", bar"BE" and bar"CE"` are diagonals.

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