A counterexample to the conjecture is when three parallel lines lie in the same plane. In this case, none of the lines intersect at any point, demonstrating that it is possible for three lines in the same plane to not intersect at all. Therefore, the conjecture is proven false.
To disprove the conjecture that two lines in a plane always intersect at exactly one point, only one counterexample is needed. A single example of two lines that do not intersect, such as two parallel lines, is sufficient to show that the conjecture is false. Therefore, one counterexample is enough to invalidate the claim.
Coplanar lines that don't intersect are parallel. Lines that are not parallel and do not intersect are skew lines.
no they are straight lines that never intersect, intersecting lines intersect.
Skew lines never intersect. If two lines intersect, then they are known as "intersecting lines", not skew lines.
No. Skew lines do not intersect
Perpendicular lines intersect at one point only.
If at least two of the three lines are parallel, the three lines will not form a triangle.
Line #1 ==> Y = x Line #2 ==> Y = x + 1 These two lines are parallel, have no points in common, and never intersect. (3 ways to say the same thing)
Perpendicular lines are lines that always intersect either at just one point, two points or several more.
Lines in the same plane that do not intersect Lines in the same plane that do not intersect Lines in the same plane that do not intersect Lines in the same plane that do not intersect
Coplanar lines that don't intersect are parallel. Lines that are not parallel and do not intersect are skew lines.
no they are straight lines that never intersect, intersecting lines intersect.
Skew lines never intersect. If two lines intersect, then they are known as "intersecting lines", not skew lines.
No. Skew lines do not intersect
Lines that intersect at right angles.
Yes, but only if they are mutually coincident.
2 lines that do not and will not intersect are called parallel lines.