Yes, perpendicular lines are always intersecting lines because they meet at a [katex] 90^{\\circ} [/katex] angle. By definition, perpendicular lines are two lines that cross each other to form a right angle. Since they cross, they must have a common point, which is known as the point of intersection. In coordinate geometry, the slopes of two perpendicular lines are negative reciprocals of each other, ensuring that they will intersect at a single point.