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Earn +20 ptsQ: How many lines are parallel to a given line through a given point?
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Can a given point be in two lines?
A point has an infinite amount of lines passing through it.
Do lines that aren't parallel always intersect?
Yes, they do. By definition, lines that never intersect must be parallel, so all non-parallel lines must intersect at some point. Given that they are normal lines (y=mx+b) they will always have a point that suffices the equation when they are set equal to each other.
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.
What parallel lines intersect?
Parallel lines in the Euclidean plane do not intersect but all parallel lines in the projective plane intersect at the point at infinity.
How many lines can be drawn perpendicular to a given like through a point not on the given line?
In Geometry
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