LINES AND SEGMENTS

These foundational geometry notes define Lines as infinite, one-dimensional paths extending in opposite directions, and Line Segments as measurable portions of a line bounded by THREE distinct endpoints.:

1. Line

• Description: A straight, one-dimensional path that has no thickness and extends infinitely in both directions.

• Endpoints: None.

• Representation: It is drawn with arrows on both ends to indicate that it goes on forever.

• Notation: Named using any two points on the line (e.g., \(\overleftrightarrow{AB}\)) or a single lowercase script letter (e.g., Line l). [1, 2, 3, 4, 5]

2. Line Segment

• Description: A specific, measurable portion of a line that lies between two distinct endpoints. It represents the shortest distance between those two points.

• Endpoints: Exactly two points (e.g., Point A and Point B).

• Representation: Drawn as a straight stroke with clear dots at both ends.

• Notation: Named by its two endpoints (e.g., \(\overline{AB}\)).

• Measurement: Because it has fixed endpoints, it has a definite length that can be measured in units like centimeters or inches. [1, 2, 3, 4, 5]

3. Ray

• Description: A part of a line that begins at a single endpoint and extends infinitely in only one direction.

• Representation: Drawn with a dot at the starting point and an arrow at the other end.

• Notation: Named with the starting point first, followed by any other point on the ray