1
Infinite
1 straight line. An infinite number of curved lines.
In plane geometry there is exactly one straight line through two points. There can be any number of curved lines.
No. Vertices are points. They have no length and so cannot have lines.
In Euclidian or plane geometry, there can be only one line through two fixed points. Lines cannot actually be drawn; if you see it it is not a geometric line. If the points are on a curved surface as in a geometry that is non-Euclidian, then there can be infinitely many lines connecting two points.
Just one.
One.
One.
The points are Dependent. Just pot the points and put two arrows at the end of the lines.
there are 6 lines can pass through 4 noncollinear points.
Lines that is curved. E.G the outline of a circle.
3 points
There are an infinity of points 4cm from a given line. These points form 2 lines parallel to and either side of the original line. Equally, there are an infinite number of points 4cm from a given point on the original line. These points lie on the circumference of a circle radius 4cm with its centre at the given point. There are only 2 points that fulfil both conditions. These points are found on the circumference of the circle where a diameter perpendicular to the original line and passing through the given point meets the circumference of the circle. These two points are also where the two parallel lines form tangents with the circle.