Will parallel lines ever meet?

If you are talking about ordinary lines and ordinary geometry, then parallel lines do not meet. For example, the line x=1 and the line x=2 do not meet at any point, since the x coordinate of a point cannot be both 1 and 2 at the same time.

Do parallel lines continue forever?

Parallel lines are two or more lines that are the same distance apart, never merging and never diverging. We recall that lines are never-ending, so parallel lines continue forever in two directions. They don’t have to be straight lines, as long as they are always the same distance apart.

How many times do parallel lines meet?

Two parallel lines will cross exactly once at the line at infinity — again we see two images of that crossing when we turn around, but they are by definition the same point. And any line in the plane will cross the line at infinity once.

How do parallel lines intersect?

In projective geometry, any pair of lines always intersects at some point, but parallel lines do not intersect in the real plane. The line at infinity is added to the real plane. This completes the plane, because now parallel lines intersect at a point which lies on the line at infinity.

Can two parallel lines intersect?

Two lines are parallel if and only if they lie in the same plane and do not intersect. Parallel lines never cross. Parallel lines are always the same distance apart, which is referred to as being “equidistant”. For our purposes, parallel lines will always be straight lines that go on indefinitely.

What are perpendicular intersecting lines?

Intersecting lines are ones that cross through each other at any point at any angle. A perpendicular line is one line that is exactly 90 degrees, clockwise or counterclockwise, to another.

What does parallel sides mean?

Parallel Definition. Parallel sides, lines, line segments and rays are always the same distance apart and never meet. For a given line, only one line passing through a point not on that line will be parallel to it, like this: