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Constructing a parallel through a point

This is the step-by-step, printable version. If you PRINT this page, any ads will not be printed.

See also the animated version.

After doing this Your work should look like this
Start with a line PQ and a point R off the line. Geometry construction with compass and straightedge or ruler or ruler
1.  Draw a transverse line through R and across the line PQ at an angle, forming the point J where it intersects the line PQ. The exact angle is not important. Geometry construction with compass and straightedge or ruler or ruler
2.  With the compasses' width set to about half the distance between R and J, place the point on J, and draw an arc across both lines. Geometry construction with compass and straightedge or ruler or ruler
3.  Without adjusting the compasses' width, move the compasses to R and draw a similar arc to the one in step 2. Geometry construction with compass and straightedge or ruler or ruler
4.  Set compasses' width to the distance where the lower arc crosses the two lines. Geometry construction with compass and straightedge or ruler or ruler
5.  Move the compasses to where the upper arc crosses the transverse line and draw an arc across the upper arc, forming point S. Geometry construction with compass and straightedge or ruler or ruler
6.  Draw a straight line through points R and S. Geometry construction with compass and straightedge or ruler or ruler
Done. The line RS is parallel to the line PQ Geometry construction with compass and straightedge or ruler or ruler
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Other constructions pages on this site

Lines

Angles

Triangles

Right triangles

Triangle Centers

Circles, Arcs and Ellipses

Polygons

Non-Euclidean constructions