Two geometries intersect if they share at least one point in common. Intersects is the inverse of Disjoint.

Example 1: Does Geometry A intersect Geometry B?

static boolean geometryIntersects(Geometry geometryA, Geometry geometryB, SpatialReference sr)
{
  boolean intersects = OperatorIntersects.local().execute(geometryA, geometryB, sr, null);
  return intersects;
}