Subjects geometry

Parallel Line Step

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1. The problem asks for the next step in constructing a line parallel to line CD using compass and straightedge. 2. In classical geometric constructions, to construct a parallel line through a point, you often replicate an angle or distance using arcs. 3. The first arc is drawn centered at point E crossing line AB. 4. The next step is to use the same compass width (the radius used to draw the first arc) to replicate the arc at another point to help locate the parallel line. 5. Among the options, the correct step is to repeat the arc centered at point B using the same compass width. 6. This step helps in transferring the distance or angle necessary to construct the parallel line CD. 7. Therefore, the answer is option B: "Using the same compass width that created the first arc, repeat the arc centered at point B."