Lines Proud / July 16, 2019 Lines 1.What is PARALLEL LINES? are parallel if they are always the same distance apart (called “equidistant”), and will never meet. Just remember 2.What is INTERSECTING LINES? are two lines that share exactly one point. This shared point is called the point of intersection. Although we’re dealing specifically with lines in this lesson, line segments also intersect where they share a common point. 3.What is PERPENDICULAR LINES? Lines that are at right angles (90°) to each other.