diff --git a/src/montgomery.rs b/src/montgomery.rs
index 867496c..ef4d0f5 100644
--- a/src/montgomery.rs
+++ b/src/montgomery.rs
@@ -366,6 +366,11 @@ mod test {
         assert!(id_montgomery == MontgomeryPoint::identity());
     }
 
+    #[test]
+    fn identity_in_different_models() {
+        assert!(EdwardsPoint::identity().to_montgomery() == MontgomeryPoint::identity());
+    }
+
     #[test]
     #[cfg(feature = "serde")]
     fn serde_bincode_basepoint_roundtrip() {