diff --git a/Lib/test/test_ntpath.py b/Lib/test/test_ntpath.py
index 6af9c85..4c9a0c2 100644
--- a/Lib/test/test_ntpath.py
+++ b/Lib/test/test_ntpath.py
@@ -166,6 +166,7 @@
 tester('ntpath.relpath("a/b", "../c")', '..\\'+currentdir+'\\a\\b')
 tester('ntpath.relpath("a", "b/c")', '..\\..\\a')
 tester('ntpath.relpath("//conky/mountpoint/a", "//conky/mountpoint/b/c")', '..\\..\\a')
+tester('ntpath.relpath("a", "a")', '.')
 
 if errors:
     raise TestFailed(str(errors) + " errors.")
diff --git a/Lib/test/test_posixpath.py b/Lib/test/test_posixpath.py
index 88aa68c..46ac067 100644
--- a/Lib/test/test_posixpath.py
+++ b/Lib/test/test_posixpath.py
@@ -501,6 +501,7 @@
             self.assertEqual(posixpath.relpath("a", "../b"), "../"+curdir+"/a")
             self.assertEqual(posixpath.relpath("a/b", "../c"), "../"+curdir+"/a/b")
             self.assertEqual(posixpath.relpath("a", "b/c"), "../../a")
+            self.assertEqual(posixpath.relpath("a", "a"), ".")
         finally:
             os.getcwd = real_getcwd