yes
... 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.
You construct a line perpendicular to the original and then a line perpendicular to this second line.
The Playfair Axiom (or "Parallel Postulate")
Euclid's parallel postulate.
perpendicular line segment (apex)
Yes. That's always possible, but there's only one of them.
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.
... 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.
It is possible to construct an infinite number of lines through any line at a given point. You will not be able to physically draw them, but a filled in circle will all have rays that intersect the line at the same point.
Yes
Yes it's quite possible if need be.
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)
Adjust the compass to the given line segment then construct the circle.
Yes it is.
Yes
Ture