Q: If two lines intersect they intersect in an infinite number of points?

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false

There is an infinite number of lines.

Zero; parallel lines never intersect.

-- An infinite number of different planes can intersect the same line. -- The same line can lie in an infinite number of different planes. -- An infinite number of different lines can intersect the same plane.

Yes, in Euclidean geometry, an infinite number of lines can meet at one point.

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false

There is an infinite number of lines.

false they intersect at a single point

Zero; parallel lines never intersect.

two lines intersect at a single point in a 2D space assuming they are not parallel. in 3D space they can intersect again at a single point, or an infinite amount of points.

Any two lines can only have one point of intersection. Unless they are parallel, in which case they do not intersect at all. If they are the same line, then they intersect at an infinite number of points.

How very interesting. And the question is ... ? Every line will intersect an infinite number of coplanar lines - not just "two or more".

-- An infinite number of different planes can intersect the same line. -- The same line can lie in an infinite number of different planes. -- An infinite number of different lines can intersect the same plane.

thre lines that intersect in three points

Yes, in Euclidean geometry, an infinite number of lines can meet at one point.

A triangle? Three lines that intersect in three points.

infinety