diff --git a/crates/engine/src/cmd/addons/pathtools/tests.rs b/crates/engine/src/cmd/addons/pathtools/tests.rs
index e31aadf56e..87c61a87f3 100644
--- a/crates/engine/src/cmd/addons/pathtools/tests.rs
+++ b/crates/engine/src/cmd/addons/pathtools/tests.rs
@@ -385,8 +385,13 @@ fn an_anchor_edit_makes_it_a_plain_path_and_transforms_keep_it_editable() {
     s.execute("addon.pathtools.shape.set", &json!({"id": id.0, "count": 6})).unwrap();
     assert_eq!((path(&s, id).anchor_count(), steps(&s)), (12, n + 1));
     assert!((shape_of(&s, id).unwrap().rotation + 30.0).abs() < 1e-6, "the turn stays");
-    // Stretched across its own axes (it is turned): skewed, so no longer.
+    // Stretched along its turned bounding box: still the shape, wider along its own axis.
     s.execute("object.scale", &json!({"sx": 150, "sy": 100, "origin": [220, 140]})).unwrap();
+    let r = shape_of(&s, id).unwrap();
+    assert!((r.width - 300.0).abs() < 1e-6 && (r.height - 200.0).abs() < 1e-6 && (r.rotation + 30.0).abs() < 1e-6, "{r:?}");
+    s.execute("edit.undo", &json!({})).unwrap();
+    // Stretched across the page's axes (it is turned): skewed, so no longer.
+    s.execute("object.scale", &json!({"sx": 150, "sy": 100, "origin": [220, 140], "basis": "page"})).unwrap();
     assert_eq!(shape_of(&s, id), None);
     s.execute("edit.undo", &json!({})).unwrap();
     assert!(shape_of(&s, id).is_some(), "undo brings it back");
diff --git a/crates/engine/src/tests.rs b/crates/engine/src/tests.rs
index 6c231dc7e5..e2a4129e57 100644
--- a/crates/engine/src/tests.rs
+++ b/crates/engine/src/tests.rs
@@ -1271,7 +1271,12 @@ fn a_transform_that_moves_nothing_records_no_undo_step() {
     for (id, p) in calls {
         assert_eq!(s.execute(id, &p).unwrap(), json!({"ids": [a.0]}), "{id} {p}");
         assert_eq!(history(&s), before, "{id} {p}");
-        assert_eq!(s.journal.last().unwrap(), &(id.to_string(), p));
+        // The journal adds the frame a scale acted in, so a replay acts in the same one.
+        let mut recorded = p;
+        if id == "object.scale" {
+            recorded["basis"] = json!("box");
+        }
+        assert_eq!(s.journal.last().unwrap(), &(id.to_string(), recorded));
     }
     assert_eq!(
         s.doc().unwrap().last_transform,