A triangle has by definition three intersecting sides. If two of the sides are parallel, they will never intersect, so no triangle can ever be formed.
concurrent
its the point of concurrency
Here are three shapes that have two pairs of parallel lines: square parallelogram rectangle There are many polygons with at least two pairs of parallel lines. hexagon (has 3 pairs of parallel lines) octagon (has 4 pairs) decagon (has 5 pairs)
If at least two of the three lines are parallel, the three lines will not form a triangle.
No--skew lines are nonparallel lines that still do not intersect (in three dimensions or higher).
No. If they are parallel, then a plane exists which both lines lie in. Skew lines can not be on the same plane.
Skew lines are a term for lines in geometry. They mean two lines that are not parallel, but do not intersect either. It is only possible in three dimensions and up.
Never! Coplanar means that the two lines lie in the same two-dimensional plane. The only way that two lines do not intersect in two-dimensional space is if they are parallel. And by definition, skew lines are not allowed to be parallel, either.So essentially there is no such thing as skew lines that only occupy two dimensions. Skew lines must be in three dimensions or higher in order to (1) not intersect and (2) not be parallel with each other.
In solid geometry, skew lines are two lines that do not intersect but are not parallel. Equivalently, they are lines that are not both in the same plane. A simple example of a pair of skew lines is the pair of lines through opposite edges of a regular tetrahedron (or other non-degenerate tetrahedron). Lines that are coplanar either intersect or are parallel, so skew lines exist only in three or more dimensions.
No, skew lines are not perpendicular. Perpendicular lines intersect at an angle of ninety degrees, while skew lines never intersect (think in three dimensions or higher).
Assuming that the none of the lines are parallel, they can intersect (pairwise) at three points. Otherwise, the question is tautological.
In two dimensional space they must. In three (or more) dimensions they need not.
no, if two lines are not parallel then the will eventually have to intersect.Alternate perspective:Yes, if two lines are non-parallel, they need not intersect in three dimensional space.
In solid geometry, skew lines are two lines that do not intersect but are not parallel. Equivalently, they are lines that are not both in the same plane. A simple example of a pair of skew lines is the pair of lines through opposite edges of a regular tetrahedron (or other non-degenerate tetrahedron). Lines that are coplanar either intersect or are parallel, so skew lines exist only in three or more dimensions.
thre lines that intersect in three points
A triangle? Three lines that intersect in three points.