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) Responses 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 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. 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. 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. 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. 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.

Answer 1

To construct a parallel line to a given line through a point not on the line, one necessary step is:

"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."

This step allows you to create points that correspond to the angles made by the transversal across the given line, which is essential to ensure that the new line is parallel.