Math 150

Constructions

Dr. Wilson

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.

  1. Dropping a perpendicular from the given point to the given line and erecting a perpendicular from the given point on the perpendicular line.
  2. Constructing a parallelogram with one side on the given line and the opposite side going through the given point.
  3. 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 be congruent.