How to construct a parallel line to a given line with a point not on it?

Given that line l and let any point P outside the line

We have to construct a line through P, parallel to l.

1. Draw a line through P, so that it intersects line l. label this point A, and make an arc so that it intersect AP ( label this point B) and line l ( label this point C)

2. Using the same compass opening, make an identical arc with the compass set at P, so that the arc intersects AP. Label this point Q.

3. Set the compass at B, and make an arc so that it intersects line l at point C.

Using the same compass opening, make an identical arc with the compass set at Q so that it intersects the arc you made in step 3. Label this point R.

4. Draw PR.  PR||AC.

  • 0
What are you looking for?