diff --git a/Intersections_2/include/CGAL/Intersections_2/Line_2_Line_2.h b/Intersections_2/include/CGAL/Intersections_2/Line_2_Line_2.h
index d95ddec8f2a..8d2d3e6ae0d 100644
--- a/Intersections_2/include/CGAL/Intersections_2/Line_2_Line_2.h
+++ b/Intersections_2/include/CGAL/Intersections_2/Line_2_Line_2.h
@@ -36,10 +36,10 @@ namespace internal {
 template <class K>
 class Line_2_Line_2_pair {
 public:
-    enum Intersection_results {NOT_COMPUTED_YET, NO_INTERSECTION, POINT, LINE};
+    enum Intersection_results {NO_INTERSECTION, POINT, LINE, UNKNOWN};
     Line_2_Line_2_pair(typename K::Line_2 const *line1,
                        typename K::Line_2 const *line2)
-      : _line1(line1), _line2(line2), _result(NOT_COMPUTED_YET) {}
+      : _line1(line1), _line2(line2) {}
 
     Intersection_results intersection_type() const;
 
@@ -48,7 +48,7 @@ public:
 protected:
     typename K::Line_2 const*   _line1;
     typename K::Line_2 const *  _line2;
-    mutable Intersection_results    _result;
+    mutable Intersection_results    _result = UNKNOWN;
     mutable typename K::Point_2         _intersection_point;
 };
 
@@ -140,7 +140,7 @@ typename Line_2_Line_2_pair<K>::Intersection_results
 Line_2_Line_2_pair<K>::intersection_type() const
 {
     typedef typename K::RT RT;
-    if (_result != NOT_COMPUTED_YET)
+    if (_result != UNKNOWN)
         return _result;
     RT nom1, nom2, denom;
     // The non const this pointer is used to cast away const.
@@ -178,7 +178,7 @@ template <class K>
 typename K::Point_2
 Line_2_Line_2_pair<K>::intersection_point() const
 {
-    if (_result == NOT_COMPUTED_YET)
+    if (_result == UNKNOWN)
         intersection_type();
     CGAL_kernel_assertion(_result == POINT);
     return _intersection_point;
@@ -188,7 +188,7 @@ template <class K>
 typename K::Line_2
 Line_2_Line_2_pair<K>::intersection_line() const
 {
-    if (_result == NOT_COMPUTED_YET)
+    if (_result == UNKNOWN)
         intersection_type();
     CGAL_kernel_assertion(_result == LINE);
     return *_line1;
diff --git a/Intersections_2/include/CGAL/Intersections_2/Line_2_Ray_2.h b/Intersections_2/include/CGAL/Intersections_2/Line_2_Ray_2.h
index eada9a07ec2..87f59d8a45a 100644
--- a/Intersections_2/include/CGAL/Intersections_2/Line_2_Ray_2.h
+++ b/Intersections_2/include/CGAL/Intersections_2/Line_2_Ray_2.h
@@ -35,11 +35,11 @@ namespace internal {
 template <class K>
 class Ray_2_Line_2_pair {
 public:
-    enum Intersection_results {NOT_COMPUTED_YET, NO_INTERSECTION, POINT, RAY};
+    enum Intersection_results {NO_INTERSECTION, POINT, RAY, UNKNOWN};
     typedef typename K::FT FT;
     Ray_2_Line_2_pair(typename K::Ray_2 const *ray,
                       typename K::Line_2 const *line)
-      : _ray(ray), _line(line), _result(NOT_COMPUTED_YET),
+      : _ray(ray), _line(line),
         _intersection_point(K().construct_point_2_object()(ORIGIN))
     {}
 
@@ -50,7 +50,7 @@ public:
 protected:
     typename K::Ray_2 const *   _ray;
     typename K::Line_2 const *  _line;
-    mutable Intersection_results    _result;
+    mutable Intersection_results    _result = UNKNOWN;
     mutable typename K::Point_2         _intersection_point;
 };
 
@@ -117,7 +117,7 @@ template <class K>
 typename Ray_2_Line_2_pair<K>::Intersection_results
 Ray_2_Line_2_pair<K>::intersection_type() const
 {
-    if (_result != NOT_COMPUTED_YET)
+    if (_result != UNKNOWN)
         return _result;
     // The non const this pointer is used to cast away const.
     const typename K::Line_2 &l1 = _ray->supporting_line();
@@ -144,7 +144,7 @@ template <class K>
 typename K::Point_2
 Ray_2_Line_2_pair<K>::intersection_point() const
 {
-    if (_result == NOT_COMPUTED_YET)
+    if (_result == UNKNOWN)
         intersection_type();
     CGAL_kernel_assertion(_result == POINT);
     return _intersection_point;
@@ -154,7 +154,7 @@ template <class K>
 typename K::Ray_2
 Ray_2_Line_2_pair<K>::intersection_ray() const
 {
-    if (_result == NOT_COMPUTED_YET)
+    if (_result == UNKNOWN)
         intersection_type();
     CGAL_kernel_assertion(_result == RAY);
     return *_ray;