**Introduction for line segment connecting two vertices of a polygon:**

A line segment is one of the important topics from geometry and mathematics subject. Generally a line segment is defined as, a long and straight line cut with two end points on both sides, is called as line segment. But a segment is one small part of a long and straight infinity line. Polygon is a closed figure with all equal sides. Here we are going to explain about line segment connecting two vertices of a polygon.

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- Line segment is shape like
**‘a straight line’**, which is joining the two points with coordinates, and the straight line is infinity after that, the end points. - A line segment is defined from math; it is the one of the small cutting piece or part of a long line.
- This line segment is having two end points on both opposite directions.

**Example figure for line segment:**

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- The above line segment is like a straight line AB, and it is having two end points C and D. AB is infinity lines, which CD is line segment length.
- So it is having a name of the line is AB, and it has a line segment name is CD. It can be denoted as bar (CD). In this line segment the point C from the point D distance point line segment.

A polygon is closed figures with all the sides are equal, and all angles are equal.

Here we will use the line segments which are connecting two vertices of a polygon. So we have to use the polygon figure of triangle.

**A polygon with made up of line segment figure is given below: (triangle)**

** Triangle with line segments ABC:**

The given triangle is a closed polygon figure with made up of line segments. Here in this triangle figure has 3 end points A, B and C. All the end points are joining each other.

- Those 3 points are makes the many line segments like, those line segment names for line segment AB, BC, and CA. Those 3 are original and the reverses of above line segments are BA, CB, and AC.
- So those 3 line segments are named as bar (AB), bar (BC), bar (CA) and then reverse 3 are named as bar (BA), bar (CB), bar (AC).
- This is a right angle triangle figure, so two sides are equal. It is having the line segments bar (AB), bar (BC), bar (CA) and etc…
- This triangle polygon has three vertices, but here we take one end point is starting point means that end point joining or connecting other two end points on there vertices.
- Example: If C is the starting point means that end point c connecting with end point A and its vertices, same like that end point B and its vertices.

So these line segments connecting the two vertices of the closed polygon (triangle).