true
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
Yes. That's always possible, but there's only one of them.
Wrong statement. Parallel lines don't always make vertical angles without the transversal, the line that passes through these lines. Without the transversal, we can't make the conclusion that parallel lines form vertical angles.
You can construct a parallel to a line through a point not on the line. (perpendicular line segment)
You construct a line perpendicular to the original and then a line perpendicular to this second line.
perpendicular line segment (apex)
~APEX~ A parallel line through a point not on the line
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
Yes. That's always possible, but there's only one of them.
... given line. This is one version of 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.
perpendicular line segment (apex)
You construct a line perpendicular to the original and then a line perpendicular to this second line.
false