Question

Write the names of six line-segments in the figure below.

Answer 1

Hint:- Line segment is a part of a line that is bounded by distinct end points and cannot be increased or decreased and contains every point of the line between its endpoints.

Complete step-by-step answer:
In geometry three things were defined and that were.
1) Line:- It can be extended to length up to infinity and both ends points of the line are shown by arrow but the length can be increased or decreased. So, that line does not have fixed length.

2) Line segment:- Both the end points of the line segment are denoted by point. So, the length of the line segment cannot be increased or decreased. Sides of any polygon shape are drawn from the line segment. They have fixed length.

3) Ray:- One end of the ray is drawn by point while the other end is drawn by arrow. So, the length of the ray can be increased or decreased from only one side (i.e. side having arrow). They do not have fixed length.

So, now we had to find the six different line segments in the given triangle.
Now the line segment will be the line joining any two different points of the triangle.
Hence, the line segments in the above triangle are AB, AC, AD, CD, CB and DB.

Note:- Whenever we come up with this type of problem then if we are asked to name the different line segments then we name a line whose both the endpoints are distinct and drawn with point (Figure 2). Line will be the line joining any two distinct points whose both ends are drawn by arrow (Figure 1). And, Ray will be the line whose both ends are distinct and one end is drawn with a point while the other end is drawn with an arrow (Figure 3).