Certainly! Let's walk through a step-by-step method to solve this problem:
1. Draw the Given Line:
- Start by using a ruler to draw a straight line that is exactly 5 cm long on your paper. Label the endpoints of this line as points A and B.
2. Set the Compass:
- Take a compass and set its width to 2 cm. This distance represents how far the locus of points will be from the original line.
3. Draw Parallel Lines:
- Place the compass point at any point on the original line and draw a parallel line 2 cm above the original line. Move the compass along the entire length of the line (from A to B), ensuring the parallel line is consistently 2 cm away.
- Repeat this process to draw another parallel line 2 cm below the original line. Again, make sure this line stays consistently 2 cm away from the original line all the way from point A to point B.
4. Check the Locus:
- You should now have two lines, one above and one below the original line, each exactly 2 cm away from it. These two lines represent the locus of points that are 2 cm away from the given line.
To summarize, you have drawn:
- An original line segment AB of 5 cm.
- Two parallel lines, one 2 cm above and one 2 cm below the original line segment AB.
The two parallel lines are the locus of points that are 2 cm away from the original 5 cm line. This completes your construction.
