Without changing the compasses' width, place the compasses' point on the the point R on the line you drew in step 1

Without changing the compasses' width, Draw an arc roughly where the other endpoint will be.

There are no more steps

Without changing the compasses' width, draw an arc only above the line.

Without changing the compasses' width, draw an arc above and below the line.

Without changing the compasses' width, draw an arc only below the line.

perpendicular bisector of a line segment

perpendicular to an external point

segment bisector

perpendicular bisector of a line segment

perpendicular to a line at a point on a line

perpendicular to a line from an external point

Using the straight edge, draw a line from K to where the arcs cross.

Connect the dots

There are no more steps

From P, mark off a short arc above K

Draw an arc across the line on each side of R, making sure not to adjust the compasses' width in between. Label these points P and Q

Place the compasses on the given external point R.

Place a straightedge between R and the point where the arcs intersect. Draw the perpendicular line from R to the line, or beyond if you wish.

A parallel to a line through a point (angle copy method)

A parallel to a line through a point (rhombus method)

A parallel to a line through a point (translated triangle method)

Copy an angle