# Kyoto2.org

Tricks and tips for everyone

# What does it mean to partition a line?

## What does it mean to partition a line?

Partition means to separate or to divide. A line segment can be partitioned into smaller segments which are compared as ratios. Partitions occur on line segments that are referred to as directed segments. A directed segment is a segment that has distance (length) and direction.

## How do you subdivide a line segment?

A line segment can be divided into ‘n’ equal parts, where ‘n’ is any natural number. For example; a line segment of length 10 cm is divided into two equal parts by using a ruler as, Mark a point 5 cm away from one end. 10 cm is divided into two 5 cm line segments.

How to partition a line segment?

Partition the line segment by starting at the beginning of the line segment and moving forward a parts. Draw a point and verify that it is b parts from the end of the line segment.

How do you split a line into equal parts?

Split the line segment up into a + b equal parts. Partition the line segment by starting at the beginning of the line segment and moving forward a parts. Draw a point and verify that it is b parts from the end of the line segment. That’s not so bad, right?

### What does partitioned by a ratio mean?

We can look at this line of candies as a line segment that is partitioned by a ratio, where partitioned simply means to be divided or split in some way. We see that the line segment is partitioned into four green parts and three red parts, representing the ratio of green chocolates to red chocolates in the jar. Pretty neat, huh?

### How many parts are in a red chocolate line segment?

Notice that we’ve created a directed line segment (meaning a line segment with a starting point and an ending point) that starts with the first green chocolate and ends at the last red chocolate. It is made up of seven equal-sized parts. The first four are green, and the last three are red.