Question

identify one of the steps necessary to construct a parallel line to a given line through a point not on the line. (1 point)
place the edge of a ruler on the given line and slide the ruler up or down until it is aligned with the point, then draw a line through the point.
with the pointed tip of your compass on a point on the given line, draw an arc that intersects the given line and the line drawn from the point on the given line to the point not on the given line.
with the pointed tip of your compass on a point on the given line, draw an arc that extends both above and below the given line.
after drawing a given line and a point not on the line, fold your paper so that the fold goes through the point not on the line.

Explanation:

To construct a parallel line through a point not on the given line, we use the method of corresponding angles (via compass and straightedge). The correct step involves using the compass to create equal - angle arcs. The second option describes creating an arc that intersects the given line and the line from the given - line point to the off - line point, which is part of the process to ensure equal angles (for parallel lines, corresponding angles must be equal). The first option (ruler sliding) is not a valid geometric construction method. The third option's arc - drawing is not the key step for parallel line construction. The fourth option (folding) is not a standard geometric construction technique for this purpose.

Answer:

B. With the pointed tip of your compass on a point on the given line, draw an arc that intersects the given line and the line drawn from the point on the given line to the point not on the given line.