Line Segments

A line segment is part of a line between two endpoints. A line segment AB is generally denoted by the symbol `bar"AB"`.

1. Naming a Line Segment:

• The endpoints of a line segment are denoted by capital letters (e.g., A and B).
• A line segment connecting points A and B is written as `bar" AB "`.

2. Properties of a Line Segment:

• A line segment has a fixed length and can be measured using a ruler.
• It can be compared with other line segments to determine which is shorter or longer.

3. Drawing a Line Segment:

• A ruler can be used to draw accurate line segments of specific lengths.
• Every line segment has a definite length, unlike a line that extends infinitely.

Steps:

1. Take a piece of paper.

2. Fold it once and then unfold it.

3. Observe the crease formed on the paper.

4. Mark two points on the crease and label them as A and B.

5. Try drawing different paths from point A to point B (curved, zig-zag, etc.).

6. Compare those paths with the straight crease connecting A and B.

Observation:

• The crease is a straight path between points A and B.

• All other routes (curved, zig-zag) are longer than the straight path.

Conclusion:

• The shortest distance between two points is a straight line.

• This straight path is called a line segment.

• Points A and B are the endpoints of the line segment AB.

• A line segment has a definite length and does not extend infinitely.