diff --git a/masque/label.py b/masque/label.py
index b662035..3dbbc08 100644
--- a/masque/label.py
+++ b/masque/label.py
@@ -78,6 +78,8 @@ class Label(PositionableImpl, RepeatableImpl, AnnotatableImpl, Bounded, Pivotabl
         return annotations_lt(self.annotations, other.annotations)
 
     def __eq__(self, other: Any) -> bool:
+        if type(self) is not type(other):
+            return False
         return (
             self.string == other.string
             and numpy.array_equal(self.offset, other.offset)
diff --git a/masque/ref.py b/masque/ref.py
index a40776a..b012365 100644
--- a/masque/ref.py
+++ b/masque/ref.py
@@ -122,6 +122,8 @@ class Ref(
         return annotations_lt(self.annotations, other.annotations)
 
     def __eq__(self, other: Any) -> bool:
+        if type(self) is not type(other):
+            return False
         return (
             numpy.array_equal(self.offset, other.offset)
             and self.mirrored == other.mirrored
diff --git a/masque/test/test_label.py b/masque/test/test_label.py
index ad8c08b..f4f364b 100644
--- a/masque/test/test_label.py
+++ b/masque/test/test_label.py
@@ -46,3 +46,9 @@ def test_label_copy() -> None:
     assert l1 is not l2
     l2.offset[0] = 100
     assert l1.offset[0] == 1
+
+
+def test_label_eq_unrelated_objects_is_false() -> None:
+    lbl = Label("test")
+    assert not (lbl == None)
+    assert not (lbl == object())
diff --git a/masque/test/test_ref.py b/masque/test/test_ref.py
index c1dbf26..d3e9778 100644
--- a/masque/test/test_ref.py
+++ b/masque/test/test_ref.py
@@ -87,3 +87,9 @@ def test_ref_scale_by_rejects_nonpositive_scale() -> None:
 
     with pytest.raises(MasqueError, match='Scale must be positive'):
         ref.scale_by(-1)
+
+
+def test_ref_eq_unrelated_objects_is_false() -> None:
+    ref = Ref()
+    assert not (ref == None)
+    assert not (ref == object())