If two different lines intersect, they will always intersect at one point.
wrong!
No, parallel lines never intersect, so they do not have any points in common. Intersecting lines have one common point.
FALSE!!
They are said to be perpendicular lines.
Two lines intersect at one point. If in two dimensions, and they do not intersect they are parallel. The other option in two dimensions is they are the co-linear, that is they are the same line, in which case they intersect at all points.
always
Perpendicular lines are lines that always intersect either at just one point, two points or several more.
No, two straight lines can intersect at only one point and that is their point of intersection.
Point.
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.
Two lines that cross at a point are said to intersect. The point where they meet is called the point of intersection. If the lines are not parallel, they will always cross at exactly one point in a two-dimensional plane. In contrast, parallel lines never intersect and thus do not meet at any point.
Theorem: If two lines intersect, then exactly one plane contains both lines. So, when two or more lines intersect at one point, they lie exactly in the same plane. When two or more lines intersect at one point, their point of intersection satisfies all equations of those lines. In other words, the equations of these lines have the same solution, which is the point of intersection.
always. if two lines intersect, then exactly one plane contains the lines.
wrong!
Perpendicular lines intersect at one point only.
Not if they are straight lines.
Lines that have one point in common are said to intersect one another at that point. Almost all straight lines of infinite length intersect one another, unless they are parallel to each other.