diff --git a/Kernel_23/test/Kernel_23/include/CGAL/_test_3.h b/Kernel_23/test/Kernel_23/include/CGAL/_test_3.h
index 02a5e6cf20c..40b992a857e 100644
--- a/Kernel_23/test/Kernel_23/include/CGAL/_test_3.h
+++ b/Kernel_23/test/Kernel_23/include/CGAL/_test_3.h
@@ -31,6 +31,7 @@
 #include "_test_cls_plane_3.h"
 #include "_test_cls_line_3.h"
 #include "_test_cls_segment_3.h"
+#include "_test_fct_segment_3.h"
 #include "_test_cls_sphere_3.h"
 #include "_test_cls_ray_3.h"
 #include "_test_cls_triangle_3.h"
@@ -51,6 +52,7 @@ _test_3(const R& r)
  && _test_fct_point_3(r)
  && _test_fct_weighted_point_3(r)
  && _test_fct_plane_3(r)
+ && _test_fct_segment_3(r)
  && _test_further_fct_point_plane_3(r)
  && _test_cls_direction_3(r)
  && _test_cls_plane_3( r )
diff --git a/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_segment_2.h b/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_segment_2.h
index d97d8c0b111..9ed30767567 100644
--- a/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_segment_2.h
+++ b/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_segment_2.h
@@ -111,6 +111,9 @@ _test_fct_segment_2(const R& )
  assert( CGAL::compare_slope(l6, l9) == CGAL::LARGER );
  assert( CGAL::compare_slope(l9, l7) == CGAL::SMALLER );
 
+ std::cout <<'.';
+ assert( CGAL::squared_distance(l9.source(), l9.target()) == CGAL::squared_length(l9) );
+
  std::cout << "done" << std::endl;
  return true;
 }
diff --git a/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_segment_3.h b/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_segment_3.h
new file mode 100644
index 00000000000..ad0d419ae46
--- /dev/null
+++ b/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_segment_3.h
@@ -0,0 +1,43 @@
+// Copyright (c) 1999
+// Utrecht University (The Netherlands),
+// ETH Zurich (Switzerland),
+// INRIA Sophia-Antipolis (France),
+// Max-Planck-Institute Saarbruecken (Germany),
+// and Tel-Aviv University (Israel).  All rights reserved.
+//
+// This file is part of CGAL (www.cgal.org)
+//
+// $URL$
+// $Id$
+// SPDX-License-Identifier: LGPL-3.0-or-later
+//
+//
+// Author(s)     : Susan Hert
+
+
+#ifndef CGAL__TEST_FCT_SEGMENT_3_H
+#define CGAL__TEST_FCT_SEGMENT_3_H
+
+template <class R>
+bool
+_test_fct_segment_3(const R& )
+{
+ std::cout << "Testing functions Segment_3" ;
+
+ typedef typename  R::RT          RT;
+
+ typedef typename  R::Point_3     Point_3;
+ typedef typename  R::Segment_3   Segment_3;
+
+ Point_3 p1 ( RT(0), RT(0), RT(0), RT(1) );
+ Point_3 p2 ( RT(1), RT(1), RT(1), RT(1) );
+
+
+  Segment_3 l1(p1, p2);
+  assert( CGAL::squared_distance(l1.source(), l1.target()) == CGAL::squared_length(l1) );
+
+ std::cout << "done" << std::endl;
+ return true;
+}
+
+#endif // CGAL__TEST_FCT_SEGMENT_3_H
diff --git a/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_vector_2.h b/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_vector_2.h
index 7731765f24e..3140f54902e 100644
--- a/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_vector_2.h
+++ b/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_vector_2.h
@@ -87,6 +87,7 @@ _test_fct_vector_2(const R& )
  assert( CGAL::scalar_product(v1, v2) == FT(30) );
  assert( v1 * v0 == FT(0) );
  assert( v1.squared_length() == FT(40) );
+ assert( v1.squared_length() == CGAL::squared_length(v1) );
  assert( CGAL::Vector_2<R>( n1, n2) == v1 * RT(2));
  assert( CGAL::Vector_2<R>( n5, n6) == v2 * RT(3));
  assert( CGAL::Vector_2<R>( n1, n2) == RT(2) * v1);
diff --git a/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_vector_3.h b/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_vector_3.h
index 70e273d1e68..d1c090353ef 100644
--- a/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_vector_3.h
+++ b/Kernel_23/test/Kernel_23/include/CGAL/_test_fct_vector_3.h
@@ -101,6 +101,7 @@ _test_fct_vector_3(const R& )
 
  std::cout << '.';
 
+ assert( v1.squared_length() == CGAL::squared_length(v1) );
  assert( v1.squared_length() == FT(49) );
  assert( v1 * v2 == FT(66) );
  assert( v1 * v0 == FT(0) );