Given a line and a point not on the line, to construct a line
through the given point parallel to the given line.
We will present three methods of performing this construction.
- Dropping a perpendicular from the given
point to the given line and erecting a perpendicular from the
given point on the perpendicular line.
- Constructing a parallelogram with one side
on the given line and the opposite side going through the given
- Drawing a line from the given point to
the given line and copying the angle that line makes with the
given line at the given point to get alternate interior angles to