Identify one of the steps necessary to construct a parallel line to a given line through a point not on the line.(1 point) is it a b c or d solve it and tell me if it is really the correct answer

Responses

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.

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.

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.
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.

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.

1 answer

To construct a parallel line to a given line through a point not on the line, one effective method is to use a compass and a straightedge. Among the provided options, the correct steps would involve using the compass to transfer distances from the given line to the point above or below it.

The correct response 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 method allows you to transfer the angle and distance from the given line to the new point, helping in drawing a line that is parallel to the original.

The other options do not correctly utilize the geometric construction methods necessary to ensure the lines are parallel.