# Line Segments Divided Proportionally

How to solve problems about the line segments which are divided proportionally: examples and their solutions.

## Example 1

Three horizontal lines are parallel.

And they divide two transversals.

Then the transversals are divided proportionally:

8 / 16 = *x* / 18.

## Example 2

Three vertical lines are

all perpendicular to the bottom line.

Then, by the perpendicular transversal theorem,

three vertical lines are all parallel to each other.

And the vertical lines divide two transversals.

(upper line, bottom line)

So the transversals are divided proportionally:

11 / *x* = (6 + 4) / 4.