The **line** can be divided into the **ratio** with the help of a **compass**.

**Further explanation:**

Given that Alexis is trying to **partition** a **line segment** in the ratio with the help of** compass**.

There are different methods to divide a **line segment** in the given ratio, but we will use a **simple method** to divide the line in the ratio .

Given a line segment , which is to be divided in the ratio of .

First draw any ray which makes an **acute angle** with .

Locate points on the ray such that and are equal, with the help of a compass.

Since, Alexis is trying to divide the line into the ratio of , therefore, the ray is divided into points.

Now, join the point with the point .

From the point , draw a line **parallel **to and this can be drawn by making an **angle **equal to .

Now, consider that the line that is drawn parallel to intersect the given line at the point .

The **point of intersection** on the line is the point where it is divided into the ratio as shown in **Figure 1** (attached in the end).

The above used steps are used to divide any line in the given ratio.

Therefore, the line can be divided into the ratio of .

**Learn more:**

**1.** Learn more about angles brainly.com/question/1953744

**2.** Learn about collinear points brainly.com/question/5191807

**Answer details:**

**Grade:** High school

**Subject:** Mathematics

**Chapter:** Constructions

**Keywords:** Alexis, compass, partition, segment, ab, ratio, 2:3, constructions, line, ray, parallel, intersection, angle, acute, geometry, line segment, acute angle.