perpendicular line segment (apex)
~APEX~ A parallel line through a point not on the line
perpendicular line segment (apex)
You construct a line perpendicular to the original and then a line perpendicular to this second line.
Assume there are no lines through a given point that is parallel to a given line or assume that there are many lines through a given point that are parallel to a given line. There exist a line l and a point P not on l such that either there is no line m parallel to l through P or there are two distinct lines m and n parallel to l through P.
perpendicular line segment (apex)
perpendicular line segment (apex)
~APEX~ A parallel line through a point not on the line
~APEX~ A parallel line through a point not on the line
~APEX~ A parallel line through a point not on the line
A conjecture
You can construct a parallel to a line through a point not on the line. (perpendicular line segment)
perpendicular line segment (apex)
You construct a line perpendicular to the original and then a line perpendicular to this second line.
You construct a line perpendicular to the original and then a line perpendicular to this second line.
There are two - the 69th Parallel North, which runs through Alaska, Canada, Greenland, and Russia, and the 69th Parallel South, which runs through Antarctica.
A transversal line cutting through parallel lines creates various angles