You place a ruler on a piece of paper and trace both sides. Put the point of your pair of compasses on the line and draw a circle. Then draw another circle, that is the same size, the same way further along the line. You will then be able to use your rule to draw a line that is a tangent to the two circle, and so parallel to your first line. Once you have done this you will realize that you don't need to draw a full circle just a small arc.
You construct a line perpendicular to the original and then a line perpendicular to this second line.
yes
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.
You can construct a parallel to a line through a point not on the line. (perpendicular line segment)
yes
Start with a line, L1. Draw a line perpendicular to it, L2. Next draw a line perpendicular to L2, but not the same as L1. This last line will be parallel to L1.
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
perpendicular line segment (apex)
perpendicular line segment (apex)
You construct a line perpendicular to the original and then a line perpendicular to this second line.
This is Euclid's fifth postulate, also known as the Parallel Postulate. It is quite possible to construct consistent systems of geometry where this postulate is negated - either many parallel lines or none.