diff --git a/crates/geom/src/lib.rs b/crates/geom/src/lib.rs
index da351e5b..e0a4dde0 100644
--- a/crates/geom/src/lib.rs
+++ b/crates/geom/src/lib.rs
@@ -284,7 +284,9 @@ impl ReverseSubpaths for BezPath {
                     kurbo::PathSeg::Cubic(c) => out.curve_to(c.p1, c.p2, c.p3),
                 }
             }
-            out.close_path();
+            if matches!(seg_path.elements().last(), Some(kurbo::PathEl::ClosePath)) {
+                out.close_path();
+            }
         }
         out
     }
diff --git a/crates/geom/src/tests.rs b/crates/geom/src/tests.rs
index b99d7d8c..15e24d49 100644
--- a/crates/geom/src/tests.rs
+++ b/crates/geom/src/tests.rs
@@ -108,3 +108,18 @@ fn set_rotation_keeps_center() {
         }
     }
 }
+
+#[test]
+fn reverse_subpaths_preserves_open_and_closed() {
+    let mut open = BezPath::new();
+    open.move_to((0.0, 0.0));
+    open.line_to((10.0, 0.0));
+    open.line_to((10.0, 10.0));
+    let r = <BezPath as ReverseSubpaths>::reverse_subpaths(&open);
+    assert!(!r.elements().iter().any(|e| matches!(e, kurbo::PathEl::ClosePath)), "{:?}", r.elements());
+
+    let mut closed = open.clone();
+    closed.close_path();
+    let r = <BezPath as ReverseSubpaths>::reverse_subpaths(&closed);
+    assert!(matches!(r.elements().last(), Some(kurbo::PathEl::ClosePath)), "{:?}", r.elements());
+}