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Through a point not on the line exactly one line can be drawn parallel to the?
... 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.
When you construct a parallel to a line through a point not on the line using paper folding what construction can you perform twice?
You construct a line perpendicular to the original and then a line perpendicular to this second line.
Through a given point not on a given line there is exactly one line parallel to the given line?
The Playfair Axiom (or "Parallel Postulate")
Which conjecture justifies the construction of a line parallel to a given line through a given point?
Euclid's parallel postulate.
To construct a parallel to a line through a point not on the line using folding you can perform the construction twice?
perpendicular line segment (apex)
Is it possible to construct a line that is parallel to any given line and that passes through a point that is not on the given line?
Yes. That's always possible, but there's only one of them.
If there is a line and a point not on the line then there is exactly lines trough the point parallel to the given 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.
Through a point not on the line exactly one line can be drawn parallel to the?
... 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.
Is it possible to construct an infinite number of lines through a point on any given line?
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.
Is it possible to construct a perpendicular bisector to any given line using only a straightedge and a compass?
Yes
Does every line have an infinite number of lines parallel to the given line?
Yes it's quite possible if need be.
When you construct a parallel to a line through a point not on the line using paper folding what construction can you perform twice?
You construct a line perpendicular to the original and then a line perpendicular to this second line.
How do you construct a circle that has radius with an equal length to the given line segment?
Adjust the compass to the given line segment then construct the circle.
What if you repeat the perpendicular line segment construction twice using paper folding you can construct?
You can construct a parallel to a line through a point not on the line. (perpendicular line segment)
IT is possible to construct a perpendicular bisector to any given line segment using only a straightedge and a compass?
Ture
Is it possible to construct a perpendicular bisector to any given line segment using only a straightedge a compass?
yes
Is it possible to construct perpendicular bisector to any given line segment using only straightedge and a compass?
Yes
