In Euclidean plane geometry two infinitely long straight lines intersect at only one point
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Curves yes, straight lines no
Not necessarily, as two lines can exist in one plane, but they don't always touch each other. An example would be parallel lines, where the lines are parallel to each other. Lines are also not necessarily straight all the time as it can be curvy too, wherein that a straight line or another curvy line that "does" touch the first curvy line could possibly intersect at more than one point.
Correct. Two lines never meet in more than one point.
They can only intersect at the circumcentre, which is a point outside the triangle, beyond the side opposite the obtuse angle.
Perpendicular lines intersect each other at right angles which are 90 degrees Parallel lines never intersect each other and remain the equal distance apart. Intersecting lines form vertical opposite equal angles