diff --git a/crates/engine/src/cmd/shape/freeform.rs b/crates/engine/src/cmd/shape/freeform.rs
index c0430c85f..5fd299c9e 100644
--- a/crates/engine/src/cmd/shape/freeform.rs
+++ b/crates/engine/src/cmd/shape/freeform.rs
@@ -43,7 +43,7 @@ pub(super) fn connect(s: &mut Session, p: &Value) -> Result<Value> {
     let id = match id_param(p, "id", "shape.connect")? {
         // The ends are in slide space and rerouting follows the slide's own connectors, so a line
         // inside a group would be drawn in the group's space and never follow its shapes.
-        Some(id) if !st.shapes().iter().any(|sh| sh.id == id) && st.shape(id).is_some() => {
+        Some(id) if !st.shapes().iter().any(|sh| sh.id == id) && st.shape(id).is_some_and(|sh| sh.is_line()) => {
             return Err(bad("shape.connect", "`id` names a line inside a group; ungroup it first, or leave `id` out for a new connector"));
         }
         Some(id) => id,
diff --git a/crates/engine/src/tests.rs b/crates/engine/src/tests.rs
index db23c803a..7f59ced53 100644
--- a/crates/engine/src/tests.rs
+++ b/crates/engine/src/tests.rs
@@ -6569,6 +6569,10 @@ fn shape_connect_glues_to_a_shape_inside_a_group() {
     let e = s.execute("shape.connect", &json!({"id": m, "from": c, "to": b})).unwrap_err().to_string();
     assert!(e.contains("inside a group"), "{e}");
     assert_eq!(s.doc().unwrap().doc, before, "nothing changed");
+    // A grouped shape that is not a line is refused as not a line, not as a grouped line.
+    let e = s.execute("shape.connect", &json!({"id": n, "from": c, "to": b})).unwrap_err().to_string();
+    assert!(e.contains("not a line"), "{e}");
+    assert_eq!(s.doc().unwrap().doc, before, "nothing changed");
 }
 
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