The steps 5 and 6 in the construction of a new line segment ensures the lengths are equal.
A line segment in geometry has two different points on it that define its boundaries. Alternatively, we may define a line segment as a section of a line that joins two points.
Below are the steps for copying a line segment:
1. Let's begin with a line segment we need to copy, AB.
2. we take a point C at this stage. That will be one endpoint of the new line section, either below or above AB.
3. Now we place the the compass pointer on the point A of line segment AB.
4. We spread the compass out until point B, making sure that its breadth corresponds to the length of AB.
5. We place the compass tip on the point C created in step 2 without adjusting the compass's width.
6. We now draw a rough arc without adjusting the compass's settings. we add a point D oh the arc . The new line segment will be formed by this.
7. From C, draw a line to D;CD thus formed is equal to AB.
Hence steps 5 and 6 are the steps in the construction of a new line segment which ensures the lengths are equal.