Answer:
1. It is a straight line drawn with a straightedge and cuts across the lines.
2. Both drawn with the same compass width.
3. Corresponding parts of congruent triangles are congruent.
Step-by-step explanation:
This construction works by using the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles. It uses this in reverse - by creating two equal corresponding angles, it can create the parallel lines.
This is how to construct a line parallel to a given line that passes through a given point with compass and straightedge or ruler. It is called the 'angle copy method' because it works by using the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles. It uses this in reverse - by creating two equal corresponding angles, it can create the parallel lines.
