Question

What is a necessary step for constructing parallel lines?

Draw a line that intersects the first line using a straightedge.
Draw a ray that intersects the first line at a right angle using a straightedge.
Draw arcs on either side of a given point on the line.
Draw arcs on either side of a given point off the line.

Answer 1

The necessary step for constructing parallel lines is to draw a line that intersects the first line using a straightedge.

What are parallel lines?

Two lines are said to be parallel in a plane if they do not intersect each other even if extended till infinite in both the directions.

Steps to construct a parallel line using ruler and compass are:

1. Draw a line segment AB and mark any point P above the line AB
2. Draw a line that intersects the first line using a straightedge and mark it as Point X.
3. Now we get a line AB and a transverse PX.
4. Open a compass more than half of the distance between PX. Using this, place the compass on Point X and scribe an arc MN on the transverse PX.
5. Similarly, using the same distance, scribe an arc by keeping the compass on Point P and mark it as EF. The point where EF cuts PX is Q.
6. Using this Q as a center, draw an arc marked R on EF.
7. Join this R and P and extend the line segment and mark is as C and D.
8. The resultant image is given below.

To learn more about parallel lines, refer:

https://brainly.com/question/4954460

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