June 26, 2019

Chapters

A line segment is a portion of a straight line bounded by two points, called endpoints.

It is denoted by the endpoints that limit it or a lowercase letter representing the line itself.

## Equal Line Segments

Two line segments are equal when they are an overlapping match.

## Consecutive Line Segments

Two consecutive line segments have a common endpoint.

## Aligned Line Segments

Two consecutive line segments are aligned when they belong to the same line.

## Operations with Line Segments

### Adding Line Segments

The sum of two segments is another segment that begins at the origin of the first segment and ends and the end of the second segment.

The length of the line segment sum is equal to the sum of the lengths of the two segments that form it.

### Subtracting Line Segments

The subtraction of two segments is another segment that takes as the origin, the end of the smaller segment and as the end, the end of the biggest segment.

The length of the segment difference is equal to the subtraction of the lengths of two segments.

### Multiplying a Segment by a Number

The product of a segment by a number is another segment where the result the segment repeated so many times as is indicated by the number for which it multiplies.

The length of the obtained segment is equal to the number mulitplied by the length of the initial segment.

### Dividing a Segment by a Number

The division of a segment by a number is another segment such that multiplied by this number gives the original segment.

The length of the segment obtained is equal to the length of the initial segment divided by the number.

### Dividing a Segment into Parts

Divide the segment AB into 3 equal parts.

1. Draw a ray that shares the origin of point A with the line segment segment AB.

2. Mark in the ray 3 equal units starting from point A.

3. For each of the divisions of the ray, draw parallel lines to the segment joining B. The points obtained in the segment AB represent 3 equal parts.