diff --git a/apps/vectorcraft-cli/src/perf.rs b/apps/vectorcraft-cli/src/perf.rs
index b77222834..3ff82512d 100644
--- a/apps/vectorcraft-cli/src/perf.rs
+++ b/apps/vectorcraft-cli/src/perf.rs
@@ -214,12 +214,13 @@ fn pointing(n: usize, rows: &mut Vec<(String, f64)>) -> Result<(), String> {
         format!("smart guide targets in view ({n} paths)"),
         median_ms(5, || drop(vectorcraft_engine::tools::guides::Targets::collect(&doc, &[], Some(view_rect)))),
     ));
-    // Shift-clicking one more object into a selection of half the document.
+    // Adding one more object to a selection of half the document: the command a shift-click ends
+    // in, without the pointer handling and hit test before it.
     let ids: Vec<u64> = doc.layers[0].children().map(|c| c.iter().map(|n| n.id.0).collect()).unwrap_or_default();
     s.execute("select.set", &json!({"ids": ids[..ids.len() / 2]})).map_err(err)?;
     let mut k = ids.len() / 2;
     rows.push((
-        format!("shift-click into a {}-object selection", ids.len() / 2),
+        format!("select.toggle in a {}-object selection", ids.len() / 2),
         median_ms(5, || {
             k += 1;
             let _ = s.execute("select.toggle", &json!({"id": ids[k % ids.len()]}));
diff --git a/crates/geom/src/path.rs b/crates/geom/src/path.rs
index b0b9f3cbe..59a8f3066 100644
--- a/crates/geom/src/path.rs
+++ b/crates/geom/src/path.rs
@@ -562,13 +562,21 @@ impl PathData {
         }
         let mut bbox: Option<Rect> = None;
         for sp in &self.subpaths {
-            // (a closed subpath's last segment ends on its first anchor: its `ClosePath` adds no line)
             for i in 0..sp.segment_count() {
                 let c = sp.segment(i);
                 // `to_bezpath_into` writes a line where neither handle is out, else a cubic.
                 let seg = segment_bounds(if sp.segment_is_line(i) { PathSeg::Line(kurbo::Line::new(c.p0, c.p3)) } else { PathSeg::Cubic(c) });
                 bbox = Some(bbox.map_or(seg, |bb| bb.union(seg)));
             }
+            // A closed subpath's last segment ends on its first anchor, so its `ClosePath` adds no
+            // line, unless that anchor is NaN: it then differs from itself, and kurbo closes with one.
+            if sp.closed
+                && let Some(a) = sp.anchors.first()
+                && (a.p.x.is_nan() || a.p.y.is_nan())
+            {
+                let seg = segment_bounds(PathSeg::Line(kurbo::Line::new(a.p, a.p)));
+                bbox = Some(bbox.map_or(seg, |bb| bb.union(seg)));
+            }
         }
         Some(bbox.unwrap_or_default())
     }
@@ -764,6 +772,15 @@ mod tests {
         let lone = PathData::new(vec![SubPath::polyline(&[Point::new(5.0, 5.0)], false), SubPath::polyline(&[Point::new(9.0, 1.0)], true)]);
         assert_eq!(lone.bounds(), Some(Rect::ZERO));
         assert_eq!(bits(lone.bounds()), bits(reference(&lone)));
+        // A NaN anchor differs from itself: kurbo closes such a subpath with a line of its own.
+        let nan = Point::new(f64::NAN, 1.0);
+        let closed = |pts: &[Point]| SubPath::polyline(pts, true);
+        for pd in [
+            PathData::new(vec![closed(&[nan]), closed(&[Point::new(5.0, 5.0)])]),
+            PathData::new(vec![closed(&[nan, Point::new(3.0, 4.0), Point::new(6.0, 1.0)])]),
+        ] {
+            assert_eq!(bits(pd.bounds()), bits(reference(&pd)));
+        }
     }
 
     fn square() -> PathData {