Whether perpendicular lines meet at right angles depends on what they are perpendicular to. Perpendicular is a relational word; this is perpendicular to that.
When a pair of lines are perpendicular to each other, they are properly called "mutually perpendicular". Many people (including mathematicians) say just "two perpendicular lines" when they really mean mutually perpendicular, if it is clear from the context that that is what is meant.
However, there exists at least one teacher, at least one of whom is a mathematician, who will on at least one occasion attempt to catch out at least one of his students by leading that student to make an assumption the validity of which has not been rigorously proved.
This often happens when a teacher is trying to show his pupils the art of rigor in mathematical proof. (The previous paragraph is to give you some idea of what a rigorous proof looks like.)
Just to formally answer the question, mutually perpendicular lines on a plane always meet at right-angles - that's what perpendicular means.
yes perpendicular lines are at right angles to each other. Therefore they have to touch eventually
If two lines are perpendicular, they intersect at a right angle. So yes, they will always cross each other.
Only if they add up to 180 degrees which would be the case if the parallel lines are cut through by a perpendicular line.
Only once at, a right angle. Paralell lines never meet.
No, because parallel lines will always go the same directions and never make a right angle.
yes perpendicular lines are at right angles to each other. Therefore they have to touch eventually
If two lines are perpendicular, they intersect at a right angle. So yes, they will always cross each other.
Only if they add up to 180 degrees which would be the case if the parallel lines are cut through by a perpendicular line.
Only once at, a right angle. Paralell lines never meet.
Yes, if they intersect at right angles.
No, because parallel lines will always go the same directions and never make a right angle.
No. All of them do but two. The latitude lines at 90 degrees North and South actually coincide with the intersection of all longitudinal lines. So technically, because they coincide, they do not form any angle.
By definition, perpendicular lines are those which meet in a right angle. So, yes, they have to meet in order to be "perpendicular". Parallel lines may, or may not, meet, depending on how you choose your axioms. In Euclidean geometry, parallel lines never meet. In certain types of non-Euclidean geometry, they can meet.
Yes.
No, a rhombus that isn't a square will never have perpendicular sides, but its diagonals are perpendicular inasmuch that they intersect each other at right angles.
Yes at 90 degrees.
Perpendicular lines intersect at a 90 degree angle. Parallel lines do not intersect, nor would they ever intersect if continued infinitely.