Which step is the same in the construction of parallel lines and the construction of a perpendicular line to a point off a line? O Create two arcs that are below the line.
O Create a line that intersects the original line
O Place the compass on only one point off the original line.
O Place the compass on only one point on the original line.

The step that is the same in the construction of parallel lines and the construction of a perpendicular line to a point off a line is

Create a line that intersects the original line

Step-by-step explanation:

Construction of a parallel line through a given point off the line

To construct a parallel line from a point off the line

1) A line is drawn from the given line through the point that intersects the original line

2) An arc is then drawn intersecting the two lines

3) We place the compass at the given point off the line and draw an arc

4) We set the arc opening to the distance between the two points of intersection of the first arc and the two lines

5) We place the compass at the point of intersection of the second arc and the second line and draw an arc

6) A line is then drawn from the point of intersection of the two arcs passing through the given point

Construction of a perpendicular line through a given point off the line

1) To construct a perpendicular line to a point of the line we place the compass at the given point and draw two arcs crossing the given line

2) We place the compass at the arc marks on the given line and draw two arcs that intersect below the given line

3) A line is then drawn from the arc intersection to the given point that intersects the original line