Lemma 1- Parallel Lines

Author:
Kristen
Lemma 1: Given a line l and a point P not on l, it is possible to construct a line m through P such that m || l using only a straightedge.
  • Part A: Given a line l, points A, B, and their midpoint M on l, and a point P not on l, it is possible to construct a line m through P such that m || l using only a straightedge. 

Construction

  • Part B: Given a line l, a point P not on l, and a circle c with center O, it is possible to construct a line m through P such that m || l using only a straightedge. 

Construction