What are the steps for constructing a congruent line?

Answer 1

To construct a congruent line, follow these steps:

1. Draw a line segment of any length to serve as the base line.
2. Place the compass at one endpoint of the base line and open it to a convenient distance.
3. Without changing the compass width, place the compass at the other endpoint of the base line and draw an arc that intersects the base line.
4. Without changing the compass width, place the compass at the original endpoint of the base line and draw arcs above and below the base line.
5. Keeping the compass width the same, place the compass at one intersection point of the arcs and draw an arc that intersects the top and bottom arcs.
6. Keeping the compass width the same, place the compass at the other intersection point of the arcs and draw an arc that intersects the top and bottom arcs.
7. Using a straight edge, connect the endpoints of the new arcs to create a congruent line to the base line.

Note: It's important to ensure that the compass width does not change throughout the construction in order to maintain congruency.