diff --git a/Polygon/test/Polygon/AlgorithmTest.cpp b/Polygon/test/Polygon/AlgorithmTest.cpp
index 15aaa44f3ab..cc5fac6a76e 100644
--- a/Polygon/test/Polygon/AlgorithmTest.cpp
+++ b/Polygon/test/Polygon/AlgorithmTest.cpp
@@ -66,6 +66,10 @@ void test_polygon(const R&, const Point&, const char* FileName)
     CGAL::Orientation orientation =
 	CGAL::orientation_2(polygon.begin(), polygon.end());
 
+    polygon.clear();
+    assert(CGAL::is_simple_2(polygon.begin(), polygon.end()));
+    assert(CGAL::is_convex_2(polygon.begin(), polygon.end()));
+
     cout << "left   = " << *left << endl;
     cout << "right  = " << *right << endl;
     cout << "top    = " << *top << endl;