A polygon is a closed figure bounded by three or more line segments that intersect exactly to form a closed curve.
Some examples of polygon,
Basic Terms in Polygons
- Sides: The line segments that forms a polygon is termed as sides. From the above polygon, we can say that line segment AB, BC, CD, DA are four sides of the polygon.
- Vertex: The meeting of two sides is termed as vertex. From the above polygon, we can say that A is a vertex as DA and AB meets at A. Similarly, B, C and D are also vertices of the polygon.
- Adjacent Sides: In a polygon, any two sides that has a common end are termed as adjacent sides. From the above polygon, we can say that sides CD and BC are adjacent as they terminate at a common end C. Similarly, sides AB and DA, AB and BC, CD and DA are also adjacent.
- Adjacent Vertices: End points of the same side of the polygon are termed as adjacent vertex. From the above polygon, we can say that C and D are adjacent vertices while A and C are not adjacent vertices.
- Diagonals: The line joining the non-adjacent vertices of a polygon is termed as diagonals. From the above polygon, we can say that line segment AC and DB are the diagonals of the polygon.
Question: Illustrate, if possible, each one of the following with a diagram: A closed curve that is not a polygon, A polygon with two side
A closed curve that is not a polygon
A polygon with two side : A polygon with two sides are not possible; as a polygon is a closed figure so minimum three sides are required to form close diagram.