diff --git a/crates/doc/src/proto.rs b/crates/doc/src/proto.rs
index d3830bfb3..b4808011f 100644
--- a/crates/doc/src/proto.rs
+++ b/crates/doc/src/proto.rs
@@ -517,6 +517,7 @@ pub enum OverlayAnchor {
 }
 
 impl OverlayAnchor {
+    /// The default (the screen places the overlay), which files and JSON leave out.
     pub fn is_screen(&self) -> bool {
         *self == OverlayAnchor::Screen
     }
diff --git a/crates/ui-egui/src/present.rs b/crates/ui-egui/src/present.rs
index 1b483a2c2..13f4c53bf 100644
--- a/crates/ui-egui/src/present.rs
+++ b/crates/ui-egui/src/present.rs
@@ -67,8 +67,9 @@ pub struct OverlayState {
     pub position: OverlayPosition,
     pub close_on_outside: bool,
     pub background: Option<Color>,
-    /// Screen rect of the layer that opened it (manual position).
-    pub anchor: Option<Rect>,
+    /// The layer that opened it, in page units of the presented frame (so it follows the frame
+    /// when the window resizes or the view pans).
+    pub anchor: Option<figcraft_geom::Rect>,
     /// Manual position: the overlay's top-left from the anchor's (page units).
     pub offset: Option<[f64; 2]>,
     pub anchor_to: OverlayAnchor,
@@ -790,6 +791,13 @@ impl Presenter {
         error
     }
 
+    /// Screen rect `r` in page units of the frame shown last.
+    fn page_rect(&self, r: Option<Rect>) -> Option<figcraft_geom::Rect> {
+        let (r, (_, place, _)) = (r?, self.shown?);
+        let (a, b) = (place.page(r.min), place.page(r.max));
+        Some(figcraft_geom::Rect::new(a.x, a.y, b.x, b.y))
+    }
+
     fn perform(&mut self, a: &Action, node: NodeId, tr: Transition, dur: f64, easing: Easing, rect: Option<Rect>, now: f64) -> bool {
         self.perform_at(a, node, tr, dur, easing, rect, now, 0)
     }
@@ -833,6 +841,7 @@ impl Presenter {
                 true
             }
             Action::OpenOverlay { dest, position, close_on_outside, background, offset, anchor } => {
+                let at = self.page_rect(rect);
                 if !doc.contains(*dest) {
                     return false;
                 }
@@ -842,7 +851,7 @@ impl Presenter {
                     position: *position,
                     close_on_outside: *close_on_outside,
                     background: *background,
-                    anchor: rect,
+                    anchor: at,
                     offset: *offset,
                     anchor_to: *anchor,
                     opened: now,
@@ -854,6 +863,7 @@ impl Presenter {
                 true
             }
             Action::SwapOverlay { dest } => {
+                let at = self.page_rect(rect);
                 if !doc.contains(*dest) {
                     return false;
                 }
@@ -871,7 +881,7 @@ impl Presenter {
                         position: OverlayPosition::Center,
                         close_on_outside: true,
                         background: None,
-                        anchor: rect,
+                        anchor: at,
                         offset: None,
                         anchor_to: OverlayAnchor::Screen,
                         opened: now,
@@ -1647,7 +1657,7 @@ fn layout(p: &mut Presenter, area: Rect, chrome: Chrome) -> Option<Layout> {
         let ob = disp.world_bounds(o.id)?;
         let size = vec2((ob.width() * scale) as f32, (ob.height() * scale) as f32);
         let offset = o.offset.map(|[x, y]| vec2((x * scale) as f32, (y * scale) as f32));
-        let r = anchored_overlay_rect(o.position, o.anchor_to, screen, size, o.anchor, offset);
+        let r = anchored_overlay_rect(o.position, o.anchor_to, screen, size, o.anchor.map(|a| place.rect(a)), offset);
         Some((o.id, Place { page_min: (ob.x0, ob.y0), origin: r.min, scale }, r))
     };
     let overlays = p.overlays.iter().filter_map(place_overlay).collect();
diff --git a/crates/ui-egui/src/present_overlay_anchor_tests.rs b/crates/ui-egui/src/present_overlay_anchor_tests.rs
index 1cb3e310b..16d16b2db 100644
--- a/crates/ui-egui/src/present_overlay_anchor_tests.rs
+++ b/crates/ui-egui/src/present_overlay_anchor_tests.rs
@@ -64,12 +64,24 @@ fn a_dropdown_opens_right_under_its_button() {
     let mut u = Harness::new(s);
     u.run("proto.present", json!({"start": a}));
     u.frames(2, Vec::new);
+    let scale = |u: &mut Harness, scale: &str| {
+        u.run("proto.presentOptions", json!({"scale": scale}));
+        u.frames(2, Vec::new);
+    };
+    scale(&mut u, "fill");
+    let filled = hotspot(&u, hot);
+    scale(&mut u, "fit");
     let h = hotspot(&u, hot);
+    assert_ne!(filled, h, "fill shows the frame at another size");
     u.frame(vec![Event::PointerMoved(h.center())]);
     u.frame(vec![button(h.center(), true)]);
     u.frame(vec![button(h.center(), false)]);
     u.frames(2, Vec::new);
-    let got = hotspot(&u, item).min;
-    let want = pos2(h.min.x, h.max.y);
-    assert!((got - want).length() < 0.01, "{got:?} vs {want:?}");
+    let under = |u: &Harness, b: Rect| {
+        let (got, want) = (hotspot(u, item).min, pos2(b.min.x, b.max.y));
+        assert!((got - want).length() < 0.01, "{got:?} vs {want:?}");
+    };
+    under(&u, h);
+    scale(&mut u, "fill");
+    under(&u, filled);
 }