Other forms: intersected; intersecting; intersects
When two things intersect, they run into each other, or lie across each other. Your street might intersect with a main avenue, and your life will hopefully intersect with the lives of other interesting people.
In geometry, when a line intersects another line, they meet at exactly one point, and when a circle intersects a line, there are two points where they touch each other. When two streets intersect, you get an intersection, where you'll often find a stop sign or traffic signal. The Latin root of intersect is intersectus, "intersect or cut asunder," which combines inter-, "between," and secare, "to cut."