diff --git a/frontend/src/app/main/data/workspace/modifiers.cljs b/frontend/src/app/main/data/workspace/modifiers.cljs
index b78add32b7..58bb9d26db 100644
--- a/frontend/src/app/main/data/workspace/modifiers.cljs
+++ b/frontend/src/app/main/data/workspace/modifiers.cljs
@@ -703,9 +703,9 @@
 
 #_:clj-kondo/ignore
 (defn set-wasm-modifiers
-  [modif-tree & {:keys [ignore-constraints ignore-snap-pixel
+  [modif-tree & {:keys [ignore-constraints ignore-snap-pixel snap-ignore-axis
                         subtree-ids-by-id selection-rect-cache]
-                 :or {ignore-constraints false ignore-snap-pixel false}
+                 :or {ignore-constraints false ignore-snap-pixel false snap-ignore-axis nil}
                  :as params}]
   (let [modif-tree (without-nil-ids modif-tree)]
     (ptk/reify ::set-wasm-modifiers
@@ -756,7 +756,7 @@
                   root-modifiers
 
                   :else
-                  (let [propagated (wasm.api/propagate-modifiers geometry-entries snap-pixel?)]
+                  (let [propagated (wasm.api/propagate-modifiers geometry-entries snap-pixel? snap-ignore-axis)]
                     (if (seq propagated) propagated root-modifiers)))]
             (when wasm-ready?
               (wasm.api/set-modifiers modifiers))
@@ -831,10 +831,8 @@
                   ;; primaries and descendants would snap back to their
                   ;; pre-drag positions on drop.
                   ;;
-                  ;; Skipped when `snap-pixel?` is on: WASM applies
-                  ;; per-shape pixel correction (different scale/translate
-                  ;; per descendant) which we can't replicate cheaply on
-                  ;; the CLJS side.
+                  ;; Only without `snap-pixel?`: the delta that lands
+                  ;; the shape on the pixel grid is known to WASM alone.
                   (reduce
                    (fn [acc [id data]]
                      (let [t (:transform data)
@@ -864,7 +862,7 @@
                           geometry-entries))
 
                   :else
-                  (into {} (wasm.api/propagate-modifiers geometry-entries snap-pixel?)))
+                  (into {} (wasm.api/propagate-modifiers geometry-entries snap-pixel? snap-ignore-axis)))
 
                 ignore-tree
                 (calculate-ignore-tree-wasm transforms objects)
diff --git a/frontend/src/app/main/data/workspace/transforms.cljs b/frontend/src/app/main/data/workspace/transforms.cljs
index aa43f69c1d..5db0783294 100644
--- a/frontend/src/app/main/data/workspace/transforms.cljs
+++ b/frontend/src/app/main/data/workspace/transforms.cljs
@@ -592,12 +592,14 @@
            (rx/merge
             (->> angle-stream
                  (rx/sample mconst/rotation-sample-time)
-                 (rx/map #(dwm/set-wasm-modifiers (rotation-modifiers % shapes group-center)))
+                 (rx/map #(dwm/set-wasm-modifiers (rotation-modifiers % shapes group-center)
+                                                  :ignore-snap-pixel true))
                  (rx/take-until stopper))
             (->> angle-stream
                  (rx/take-until stopper)
                  (rx/last)
-                 (rx/map #(dwm/apply-wasm-modifiers (rotation-modifiers % shapes group-center)))))
+                 (rx/map #(dwm/apply-wasm-modifiers (rotation-modifiers % shapes group-center)
+                                                    :ignore-snap-pixel true))))
 
            (rx/of (finish-transform)))
 
@@ -638,7 +640,9 @@
                modif-tree
                (dwm/build-modif-tree ids objects get-modifier)]
 
-           (rx/of (dwm/apply-wasm-modifiers modif-tree :ignore-touched (:ignore-touched options))))
+           (rx/of (dwm/apply-wasm-modifiers modif-tree
+                                            :ignore-touched (:ignore-touched options)
+                                            :ignore-snap-pixel true)))
 
          (let [page-id (or (:page-id options)
                            (:current-page-id state))
diff --git a/frontend/src/app/render_wasm/api.cljs b/frontend/src/app/render_wasm/api.cljs
index cdb7e04ef9..64d19c56d8 100644
--- a/frontend/src/app/render_wasm/api.cljs
+++ b/frontend/src/app/render_wasm/api.cljs
@@ -2122,13 +2122,34 @@
 
       (h/call wasm/internal-module "_set_structure_modifiers"))))
 
+;; Axes the pixel grid rounds, as `propagate_modifiers` expects them.
+(def ^:private pixel-precision
+  {:disabled 0
+   :both     1
+   :only-x   2
+   :only-y   3})
+
+(defn- pixel-precision-mode
+  "Encodes the pixel grid snapping for the renderer. `snap-ignore-axis`
+  names the axis to leave alone (`:x`, `:y` or nil)."
+  [snap-pixel? snap-ignore-axis]
+  (pixel-precision
+   (cond
+     (not snap-pixel?)       :disabled
+     (= :x snap-ignore-axis) :only-y
+     (= :y snap-ignore-axis) :only-x
+     :else                   :both)))
+
 (defn propagate-modifiers
   "Propagates geometry modifiers through the WASM shape tree.
 
+  Rounds the resulting geometry to the pixel grid when `snap-pixel?` is set,
+  skipping the axis named by `snap-ignore-axis` (`:x`, `:y` or nil).
+
   Always returns a vector. When the context is not ready (lost / mid-reload)
   or `entries` is empty, returns `[]` so callers never receive `nil` (which
   would trip `set-modifiers`' vector assert)."
-  [entries pixel-precision]
+  [entries snap-pixel? snap-ignore-axis]
   (if-not (and (initialized?) (not ^boolean (empty? entries)))
     []
     (let [heapf32 (mem/get-heap-f32)
@@ -2146,7 +2167,8 @@
               offset
               entries)
 
-      (let [offset     (-> (h/call wasm/internal-module "_propagate_modifiers" pixel-precision)
+      (let [precision  (pixel-precision-mode snap-pixel? snap-ignore-axis)
+            offset     (-> (h/call wasm/internal-module "_propagate_modifiers" precision)
                            (mem/->offset-32))
             length     (aget heapu32 offset)
             max-offset (+ offset 1 (* length MODIFIER-U32-SIZE))
diff --git a/frontend/test/frontend_tests/helpers/wasm.cljs b/frontend/test/frontend_tests/helpers/wasm.cljs
index a235d83915..82d4f8ab99 100644
--- a/frontend/test/frontend_tests/helpers/wasm.cljs
+++ b/frontend/test/frontend_tests/helpers/wasm.cljs
@@ -58,7 +58,7 @@
   This effectively tells the caller \"apply exactly the transform that
   was requested\", which is what the real WASM engine does for simple
   moves / resizes without constraints."
-  [entries _pixel-precision]
+  [entries _snap-pixel? _snap-ignore-axis]
   (track! :propagate-modifiers)
   (when (d/not-empty? entries)
     (into []
diff --git a/frontend/test/frontend_tests/logic/wasm_modifiers_nil_id_test.cljs b/frontend/test/frontend_tests/logic/wasm_modifiers_nil_id_test.cljs
index 7e39bf91ee..e3e50ccecc 100644
--- a/frontend/test/frontend_tests/logic/wasm_modifiers_nil_id_test.cljs
+++ b/frontend/test/frontend_tests/logic/wasm_modifiers_nil_id_test.cljs
@@ -46,7 +46,7 @@
    the real implementations."
   []
   (set! wasm.api/propagate-modifiers
-        (fn [entries _pixel-precision]
+        (fn [entries _snap-pixel? _snap-ignore-axis]
           (swap! captured-geometry-entries into entries)
           (into []
                 (map (fn [[id data]] [id (:transform data)]))
diff --git a/frontend/test/frontend_tests/logic/wasm_pixel_snap_test.cljs b/frontend/test/frontend_tests/logic/wasm_pixel_snap_test.cljs
new file mode 100644
index 0000000000..37982a1f96
--- /dev/null
+++ b/frontend/test/frontend_tests/logic/wasm_pixel_snap_test.cljs
@@ -0,0 +1,104 @@
+;; This Source Code Form is subject to the terms of the Mozilla Public
+;; License, v. 2.0. If a copy of the MPL was not distributed with this
+;; file, You can obtain one at http://mozilla.org/MPL/2.0/.
+;;
+;; Copyright (c) KALEIDOS SUBSIDIARY SL
+
+(ns frontend-tests.logic.wasm-pixel-snap-test
+  "Covers which pixel-grid snapping options reach the WASM renderer.
+
+   The rounding happens in Rust, so these tests assert on the arguments
+   crossing the bridge: which axis an axis-locked drag leaves alone, and
+   that rotation does not snap."
+  (:require
+   [app.common.geom.point :as gpt]
+   [app.common.test-helpers.compositions :as ctho]
+   [app.common.test-helpers.files :as cthf]
+   [app.common.test-helpers.ids-map :as cthi]
+   [app.common.test-helpers.shapes :as cths]
+   [app.common.types.modifiers :as ctm]
+   [app.main.data.workspace.modifiers :as dwm]
+   [app.main.data.workspace.transforms :as dwt]
+   [app.render-wasm.api :as wasm.api]
+   [cljs.test :as t :include-macros true]
+   [frontend-tests.helpers.state :as ths]
+   [frontend-tests.helpers.wasm :as thw]))
+
+(def ^:private captured-snap-options
+  "One entry per `wasm.api/propagate-modifiers` call during a test."
+  (atom []))
+
+(defn- install-capturing-spy!
+  "Records the snap options of every propagation. Must run after
+   `thw/setup-wasm-mocks!` so teardown restores the real implementation."
+  []
+  (set! wasm.api/propagate-modifiers
+        (fn [entries snap-pixel? snap-ignore-axis]
+          (swap! captured-snap-options conj
+                 {:snap-pixel? snap-pixel? :snap-ignore-axis snap-ignore-axis})
+          (into []
+                (map (fn [[id data]] [id (:transform data)]))
+                entries))))
+
+(defn- enable-pixel-grid
+  []
+  (fn [state]
+    (update state :workspace-layout conj :snap-pixel-grid)))
+
+(t/use-fixtures :each
+  {:before (fn []
+             (cthi/reset-idmap!)
+             (reset! captured-snap-options [])
+             (thw/setup-wasm-mocks!)
+             (install-capturing-spy!))
+   :after  (fn []
+             (thw/teardown-wasm-mocks!))})
+
+(t/deftest axis-locked-move-tells-the-renderer-which-axis-to-ignore
+  (t/async
+    done
+    (let [file       (-> (cthf/sample-file :file1)
+                         (ctho/add-rect :rect1 :x 10.4 :y 20.6 :width 100.5 :height 50.3))
+          store      (ths/setup-store file)
+          rect       (cths/get-shape file :rect1)
+          modif-tree (dwm/create-modif-tree [(:id rect)]
+                                            (ctm/move-modifiers (gpt/point 5.2 0)))
+          events     [(enable-pixel-grid)
+                      (dwm/apply-wasm-modifiers modif-tree :snap-ignore-axis :y)]]
+      (ths/run-store
+       store done events
+       (fn [_new-state]
+         (t/is (= [{:snap-pixel? true :snap-ignore-axis :y}]
+                  @captured-snap-options)))))))
+
+(t/deftest move-without-axis-lock-snaps-both-axes
+  (t/async
+    done
+    (let [file       (-> (cthf/sample-file :file1)
+                         (ctho/add-rect :rect1 :x 10.4 :y 20.6 :width 100.5 :height 50.3))
+          store      (ths/setup-store file)
+          rect       (cths/get-shape file :rect1)
+          modif-tree (dwm/create-modif-tree [(:id rect)]
+                                            (ctm/move-modifiers (gpt/point 5.2 3.7)))
+          events     [(enable-pixel-grid)
+                      (dwm/apply-wasm-modifiers modif-tree)]]
+      (ths/run-store
+       store done events
+       (fn [_new-state]
+         (t/is (= [{:snap-pixel? true :snap-ignore-axis nil}]
+                  @captured-snap-options)))))))
+
+(t/deftest rotation-does-not-snap-to-the-pixel-grid
+  (t/async
+    done
+    (let [file   (-> (cthf/sample-file :file1)
+                     (ctho/add-rect :rect1 :x 10.4 :y 20.6 :width 100.5 :height 50.3))
+          store  (ths/setup-store file)
+          rect   (cths/get-shape file :rect1)
+          events [(enable-pixel-grid)
+                  (dwt/increase-rotation #{(:id rect)} 15)]]
+      (ths/run-store
+       store done events
+       (fn [_new-state]
+         (t/is (= [{:snap-pixel? false :snap-ignore-axis nil}]
+                  @captured-snap-options)))))))
diff --git a/frontend/test/frontend_tests/runner.cljs b/frontend/test/frontend_tests/runner.cljs
index 2f111f71f5..d621c714ec 100644
--- a/frontend/test/frontend_tests/runner.cljs
+++ b/frontend/test/frontend_tests/runner.cljs
@@ -45,6 +45,7 @@
    [frontend-tests.logic.sidebar-transform-coalescing-test]
    [frontend-tests.logic.update-position-test]
    [frontend-tests.logic.wasm-modifiers-nil-id-test]
+   [frontend-tests.logic.wasm-pixel-snap-test]
    [frontend-tests.main-errors-test]
    [frontend-tests.plugins.comments-test]
    [frontend-tests.plugins.context-shapes-test]
@@ -154,6 +155,7 @@
    'frontend-tests.logic.sidebar-transform-coalescing-test
    'frontend-tests.logic.update-position-test
    'frontend-tests.logic.wasm-modifiers-nil-id-test
+   'frontend-tests.logic.wasm-pixel-snap-test
    'frontend-tests.plugins.comments-test
    'frontend-tests.plugins.context-shapes-test
    'frontend-tests.plugins.file-test
diff --git a/render-wasm/src/shapes/modifiers.rs b/render-wasm/src/shapes/modifiers.rs
index da6289b289..1898ed7276 100644
--- a/render-wasm/src/shapes/modifiers.rs
+++ b/render-wasm/src/shapes/modifiers.rs
@@ -12,8 +12,8 @@ use common::GetBounds;
 use crate::error::Result;
 use crate::shapes;
 use crate::shapes::{
-    ConstraintH, ConstraintV, Frame, Group, GrowType, Layout, Modifier, Shape, TransformEntry,
-    TransformEntrySource, Type,
+    ConstraintH, ConstraintV, Frame, Group, GrowType, Layout, Modifier, PixelPrecision, Shape,
+    TransformEntry, TransformEntrySource, Type,
 };
 use crate::state::{ShapesPoolRef, State};
 use crate::uuid::Uuid;
@@ -139,36 +139,84 @@ fn calculate_bool_bounds(
     Some(result)
 }
 
-fn set_pixel_precision(transform: &mut Matrix, bounds: &mut Bounds) {
-    let tr = bounds.transform_matrix().unwrap_or_default();
-    let tr_inv = tr.invert().unwrap_or_default();
+/// Which parts of the geometry a pixel-grid correction rounds: only the ones
+/// the transform changes, so a move keeps its dimensions and a resize keeps
+/// its anchored corner.
+#[derive(PartialEq, Debug, Clone, Copy)]
+struct SnapGeometry {
+    x: bool,
+    y: bool,
+    width: bool,
+    height: bool,
+}
 
-    let x = bounds.min_x().round();
-    let y = bounds.min_y().round();
+impl SnapGeometry {
+    /// Flags the properties that differ between the two bounds. The axis mask
+    /// in `precision` applies to the position only.
+    fn new(before: &Bounds, after: &Bounds, precision: PixelPrecision) -> Self {
+        SnapGeometry {
+            x: precision.rounds_x() && !is_close_to(before.min_x(), after.min_x()),
+            y: precision.rounds_y() && !is_close_to(before.min_y(), after.min_y()),
+            width: !is_close_to(before.width(), after.width()),
+            height: !is_close_to(before.height(), after.height()),
+        }
+    }
 
-    let width = bounds.width();
-    let height = bounds.height();
+    fn resized(&self) -> bool {
+        self.width || self.height
+    }
 
-    let target_width = bounds.width().round();
-    let target_height = bounds.height().round();
+    fn any(&self) -> bool {
+        self.x || self.y || self.resized()
+    }
+}
 
-    let scale_width = if width > 0.1 {
-        f32::max(0.01, target_width / width)
+/// Rounds a transform so the parts of the shape the gesture changed land on
+/// the pixel grid, leaving everything else exactly where it is.
+fn set_pixel_precision(transform: &mut Matrix, bounds: &mut Bounds, snap: SnapGeometry) {
+    // Target corner, taken before the size correction: that correction scales
+    // about the bounds center, and the translation below undoes the corner
+    // displacement it causes. An unsnapped axis targets its own value.
+    let x = if snap.x {
+        bounds.min_x().round()
     } else {
-        1.0
+        bounds.min_x()
     };
-    let scale_height = if height > 0.1 {
-        f32::max(0.01, target_height / height)
+    let y = if snap.y {
+        bounds.min_y().round()
     } else {
-        1.0
+        bounds.min_y()
     };
 
-    if f32::is_finite(scale_width) && f32::is_finite(scale_height) {
-        let mut round_transform = Matrix::scale((scale_width, scale_height));
-        round_transform.post_concat(&tr);
-        round_transform.pre_concat(&tr_inv);
-        transform.post_concat(&round_transform);
-        bounds.transform_mut(&round_transform);
+    if snap.resized() {
+        let tr = bounds.transform_matrix().unwrap_or_default();
+        let tr_inv = tr.invert().unwrap_or_default();
+
+        let width = bounds.width();
+        let height = bounds.height();
+
+        // A rounded dimension is never smaller than one pixel.
+        let target_width = f32::max(1.0, width.round());
+        let target_height = f32::max(1.0, height.round());
+
+        let scale_width = if snap.width && width > 0.1 {
+            f32::max(0.01, target_width / width)
+        } else {
+            1.0
+        };
+        let scale_height = if snap.height && height > 0.1 {
+            f32::max(0.01, target_height / height)
+        } else {
+            1.0
+        };
+
+        if f32::is_finite(scale_width) && f32::is_finite(scale_height) {
+            let mut round_transform = Matrix::scale((scale_width, scale_height));
+            round_transform.post_concat(&tr);
+            round_transform.pre_concat(&tr_inv);
+            transform.post_concat(&round_transform);
+            bounds.transform_mut(&round_transform);
+        }
     }
 
     let dx = x - bounds.min_x();
@@ -184,7 +232,7 @@ fn set_pixel_precision(transform: &mut Matrix, bounds: &mut Bounds) {
 #[allow(clippy::too_many_arguments)]
 fn propagate_transform(
     entry: TransformEntry,
-    pixel_precision: bool,
+    pixel_precision: PixelPrecision,
     state: &State,
     entries: &mut VecDeque<Modifier>,
     bounds: &mut HashMap<Uuid, Bounds>,
@@ -286,8 +334,11 @@ fn propagate_transform(
         }
     }
 
-    if pixel_precision {
-        set_pixel_precision(&mut transform, &mut shape_bounds_after);
+    if pixel_precision.enabled() {
+        let snap = SnapGeometry::new(&shape_bounds_before, &shape_bounds_after, pixel_precision);
+        if snap.any() {
+            set_pixel_precision(&mut transform, &mut shape_bounds_after, snap);
+        }
     }
 
     if entry.propagate {
@@ -417,10 +468,15 @@ fn reflow_shape(
     Ok(())
 }
 
+/// Propagates a set of transforms through the shape tree, returning one
+/// transform per affected shape.
+///
+/// The transforms are relative to the committed geometry, so callers clear
+/// any transform modifier of their own before propagating.
 pub fn propagate_modifiers(
     state: &State,
     modifiers: &[TransformEntry],
-    pixel_precision: bool,
+    pixel_precision: PixelPrecision,
 ) -> Result<Vec<TransformEntry>> {
     let mut entries: VecDeque<_> = modifiers
         .iter()
@@ -567,6 +623,249 @@ mod tests {
         assert_eq!(result.len(), 1);
     }
 
+    #[test]
+    fn test_pixel_precision_move_keeps_size() {
+        let bounds = Bounds::from_rect(&math::Rect::from_xywh(10.4, 20.6, 100.5, 50.3));
+        let mut bounds_after = bounds.transform(&Matrix::translate((5.2, 3.7)));
+        let mut transform = Matrix::translate((5.2, 3.7));
+
+        let snap = SnapGeometry::new(&bounds, &bounds_after, PixelPrecision::Both);
+        set_pixel_precision(&mut transform, &mut bounds_after, snap);
+
+        assert!(is_close_to(bounds_after.width(), 100.5));
+        assert!(is_close_to(bounds_after.height(), 50.3));
+        assert!(is_close_to(bounds_after.min_x(), 16.0));
+        assert!(is_close_to(bounds_after.min_y(), 24.0));
+        assert!(math::is_move_only_matrix(&transform));
+    }
+
+    #[test]
+    fn test_pixel_precision_resize_rounds_size() {
+        let bounds = Bounds::from_rect(&math::Rect::from_xywh(10.4, 20.6, 100.5, 50.3));
+        let mut bounds_after = bounds.transform(&Matrix::scale((1.1, 1.1)));
+        let mut transform = Matrix::scale((1.1, 1.1));
+
+        let snap = SnapGeometry::new(&bounds, &bounds_after, PixelPrecision::Both);
+        set_pixel_precision(&mut transform, &mut bounds_after, snap);
+
+        assert!(is_close_to(
+            bounds_after.width(),
+            bounds_after.width().round()
+        ));
+        assert!(is_close_to(
+            bounds_after.height(),
+            bounds_after.height().round()
+        ));
+        assert!(is_close_to(
+            bounds_after.min_x(),
+            bounds_after.min_x().round()
+        ));
+        assert!(is_close_to(
+            bounds_after.min_y(),
+            bounds_after.min_y().round()
+        ));
+    }
+
+    #[test]
+    fn test_propagate_pixel_precision_move_only_rounds_position() {
+        let shape_id = Uuid::new_v4();
+        let mut state = State::new();
+        state.shapes.initialize(10);
+        {
+            let shape = state.shapes.add_shape(shape_id);
+            shape.set_selrect(10.4, 20.6, 110.9, 70.9);
+        }
+
+        let entry = TransformEntry::from_input(shape_id, Matrix::translate((5.2, 3.7)));
+        let result = propagate_modifiers(&state, &[entry], PixelPrecision::Both).unwrap();
+
+        let transform = result
+            .iter()
+            .find(|entry| entry.id == shape_id)
+            .map(|entry| entry.transform)
+            .unwrap();
+
+        let shape = state.shapes.get(&shape_id).unwrap();
+        let bounds = shape.bounds().transform(&transform);
+
+        assert!(is_close_to(bounds.width(), 100.5));
+        assert!(is_close_to(bounds.height(), 50.3));
+        assert!(is_close_to(bounds.min_x(), 16.0));
+        assert!(is_close_to(bounds.min_y(), 24.0));
+    }
+
+    #[test]
+    fn test_propagate_pixel_precision_resize_keeps_anchored_corner() {
+        let shape_id = Uuid::new_v4();
+        let mut state = State::new();
+        state.shapes.initialize(10);
+        {
+            let shape = state.shapes.add_shape(shape_id);
+            shape.set_selrect(10.4, 20.6, 110.4, 70.6);
+        }
+
+        // Drag the bottom-right corner in small steps: the top-left corner
+        // stays put on every step.
+        for step in 1..40 {
+            let delta = step as f32 * 0.05;
+            let mut resize = Matrix::scale(((100.0 + delta) / 100.0, (50.0 + delta) / 50.0));
+            resize.post_translate(Point::new(10.4, 20.6));
+            resize.pre_translate(Point::new(-10.4, -20.6));
+
+            let entry = TransformEntry::from_input(shape_id, resize);
+            let result = propagate_modifiers(&state, &[entry], PixelPrecision::Both).unwrap();
+
+            let transform = result
+                .iter()
+                .find(|entry| entry.id == shape_id)
+                .map(|entry| entry.transform)
+                .unwrap();
+
+            let shape = state.shapes.get(&shape_id).unwrap();
+            let bounds = shape.bounds().transform(&transform);
+
+            assert!(
+                is_close_to(bounds.min_x(), 10.4) && is_close_to(bounds.min_y(), 20.6),
+                "corner moved to ({}, {}) at delta {}",
+                bounds.min_x(),
+                bounds.min_y(),
+                delta
+            );
+            assert!(is_close_to(bounds.width(), bounds.width().round()));
+            assert!(is_close_to(bounds.height(), bounds.height().round()));
+        }
+    }
+
+    #[test]
+    fn test_pixel_precision_only_x_leaves_y_untouched() {
+        let bounds = Bounds::from_rect(&math::Rect::from_xywh(10.4, 20.6, 100.5, 50.3));
+        let mut bounds_after = bounds.transform(&Matrix::translate((5.2, 0.0)));
+        let mut transform = Matrix::translate((5.2, 0.0));
+
+        let snap = SnapGeometry::new(&bounds, &bounds_after, PixelPrecision::OnlyX);
+        set_pixel_precision(&mut transform, &mut bounds_after, snap);
+
+        assert!(is_close_to(bounds_after.min_x(), 16.0));
+        assert!(is_close_to(bounds_after.min_y(), 20.6));
+    }
+
+    #[test]
+    fn test_pixel_precision_only_y_leaves_x_untouched() {
+        let bounds = Bounds::from_rect(&math::Rect::from_xywh(10.4, 20.6, 100.5, 50.3));
+        let mut bounds_after = bounds.transform(&Matrix::translate((0.0, 3.7)));
+        let mut transform = Matrix::translate((0.0, 3.7));
+
+        let snap = SnapGeometry::new(&bounds, &bounds_after, PixelPrecision::OnlyY);
+        set_pixel_precision(&mut transform, &mut bounds_after, snap);
+
+        assert!(is_close_to(bounds_after.min_x(), 10.4));
+        assert!(is_close_to(bounds_after.min_y(), 24.0));
+    }
+
+    #[test]
+    fn test_pixel_precision_resize_never_rounds_below_one_pixel() {
+        let bounds = Bounds::from_rect(&math::Rect::from_xywh(10.0, 20.0, 0.4, 0.3));
+        let mut bounds_after = bounds.transform(&Matrix::scale((1.5, 1.5)));
+        let mut transform = Matrix::scale((1.5, 1.5));
+
+        let snap = SnapGeometry::new(&bounds, &bounds_after, PixelPrecision::Both);
+        set_pixel_precision(&mut transform, &mut bounds_after, snap);
+
+        assert!(is_close_to(bounds_after.width(), 1.0));
+        assert!(is_close_to(bounds_after.height(), 1.0));
+    }
+
+    #[test]
+    fn test_propagate_pixel_precision_snaps_every_frame_of_a_gesture() {
+        let shape_id = Uuid::new_v4();
+        let mut state = State::new();
+        state.shapes.initialize(10);
+        {
+            let shape = state.shapes.add_shape(shape_id);
+            shape.set_selrect(10.4, 20.6, 110.9, 70.9);
+        }
+
+        // One frame of a drag, as the entry point runs it: clear the
+        // modifiers, propagate the delta accumulated since the gesture
+        // started, then push the result back as the active modifier, which is
+        // what the renderer draws.
+        let frame = |state: &mut State, delta: f32| {
+            state.shapes.clear_transform_modifiers();
+
+            let entry = TransformEntry::from_input(shape_id, Matrix::translate((delta, delta)));
+            let result = propagate_modifiers(state, &[entry], PixelPrecision::Both).unwrap();
+            let transform = result
+                .iter()
+                .find(|entry| entry.id == shape_id)
+                .map(|entry| entry.transform)
+                .unwrap();
+
+            let bounds = state
+                .shapes
+                .get_raw(&shape_id)
+                .unwrap()
+                .bounds()
+                .transform(&transform);
+
+            state.set_modifiers(HashMap::from([(shape_id, transform)]));
+            bounds
+        };
+
+        // Every frame lands on the pixel grid and keeps the size.
+        for step in 1..40 {
+            let bounds = frame(&mut state, step as f32 * 0.35);
+
+            assert!(
+                is_close_to(bounds.min_x(), bounds.min_x().round())
+                    && is_close_to(bounds.min_y(), bounds.min_y().round()),
+                "shape landed off the pixel grid at ({}, {}) on frame {}",
+                bounds.min_x(),
+                bounds.min_y(),
+                step
+            );
+            assert!(is_close_to(bounds.width(), 100.5));
+            assert!(is_close_to(bounds.height(), 50.3));
+        }
+    }
+
+    #[test]
+    fn test_propagate_pixel_precision_resize_only_rounds_the_changed_dimension() {
+        let shape_id = Uuid::new_v4();
+        let mut state = State::new();
+        state.shapes.initialize(10);
+        {
+            let shape = state.shapes.add_shape(shape_id);
+            shape.set_selrect(10.4, 20.6, 110.9, 70.9);
+        }
+
+        // Drag the right edge: the width lands on the grid, the height and
+        // the top-left corner stay put.
+        let mut resize = Matrix::scale((103.3 / 100.5, 1.0));
+        resize.post_translate(Point::new(10.4, 20.6));
+        resize.pre_translate(Point::new(-10.4, -20.6));
+
+        let entry = TransformEntry::from_input(shape_id, resize);
+        let result = propagate_modifiers(&state, &[entry], PixelPrecision::Both).unwrap();
+
+        let transform = result
+            .iter()
+            .find(|entry| entry.id == shape_id)
+            .map(|entry| entry.transform)
+            .unwrap();
+
+        let bounds = state
+            .shapes
+            .get_raw(&shape_id)
+            .unwrap()
+            .bounds()
+            .transform(&transform);
+
+        assert!(is_close_to(bounds.width(), 103.0));
+        assert!(is_close_to(bounds.height(), 50.3));
+        assert!(is_close_to(bounds.min_x(), 10.4));
+        assert!(is_close_to(bounds.min_y(), 20.6));
+    }
+
     #[test]
     fn test_group_bounds() {
         let parent_id = Uuid::new_v4();
diff --git a/render-wasm/src/shapes/transform.rs b/render-wasm/src/shapes/transform.rs
index b0ff2a52d0..98224a0e97 100644
--- a/render-wasm/src/shapes/transform.rs
+++ b/render-wasm/src/shapes/transform.rs
@@ -5,18 +5,59 @@ use crate::utils::{uuid_from_u32_quartet, uuid_to_u32_quartet};
 use crate::uuid::Uuid;
 use skia::Matrix;
 
+/// Axes the pixel grid rounds. An axis-locked drag rounds only the axis it
+/// moves along.
+#[derive(PartialEq, Debug, Clone, Copy)]
+pub enum PixelPrecision {
+    Disabled,
+    Both,
+    OnlyX,
+    OnlyY,
+}
+
+impl PixelPrecision {
+    pub fn enabled(&self) -> bool {
+        *self != PixelPrecision::Disabled
+    }
+
+    pub fn rounds_x(&self) -> bool {
+        matches!(self, PixelPrecision::Both | PixelPrecision::OnlyX)
+    }
+
+    pub fn rounds_y(&self) -> bool {
+        matches!(self, PixelPrecision::Both | PixelPrecision::OnlyY)
+    }
+}
+
+impl From<u8> for PixelPrecision {
+    fn from(value: u8) -> Self {
+        match value {
+            1 => PixelPrecision::Both,
+            2 => PixelPrecision::OnlyX,
+            3 => PixelPrecision::OnlyY,
+            _ => PixelPrecision::Disabled,
+        }
+    }
+}
+
 #[derive(PartialEq, Debug, Clone)]
 pub enum Modifier {
-    Transform(TransformEntry, bool),
+    Transform(TransformEntry, PixelPrecision),
     Reflow(Uuid, bool),
 }
 
 impl Modifier {
     pub fn transform_propagate(id: Uuid, transform: Matrix) -> Self {
-        Modifier::Transform(TransformEntry::from_propagate(id, transform), false)
+        Modifier::Transform(
+            TransformEntry::from_propagate(id, transform),
+            PixelPrecision::Disabled,
+        )
     }
     pub fn parent(id: Uuid, transform: Matrix) -> Self {
-        Modifier::Transform(TransformEntry::parent(id, transform), false)
+        Modifier::Transform(
+            TransformEntry::parent(id, transform),
+            PixelPrecision::Disabled,
+        )
     }
     pub fn reflow(id: Uuid, force_reflow: bool) -> Self {
         Modifier::Reflow(id, force_reflow)
diff --git a/render-wasm/src/state/shapes_pool.rs b/render-wasm/src/state/shapes_pool.rs
index d09bb109b2..f39825ebaf 100644
--- a/render-wasm/src/state/shapes_pool.rs
+++ b/render-wasm/src/state/shapes_pool.rs
@@ -403,6 +403,20 @@ impl ShapesPoolImpl {
     /// gone, but if we don't touch their tiles they keep pointing at the
     /// previous modified position and the tile texture cache may serve stale
     /// pixels.
+    /// Drops the transform modifiers, keeping structure and scale-content
+    /// entries, so the pool serves committed geometry again. Called before
+    /// propagating a new set of transforms, which are relative to that
+    /// geometry.
+    pub fn clear_transform_modifiers(&mut self) {
+        if self.modifiers.is_empty() {
+            return;
+        }
+
+        self.clean_shape_cache();
+        self.modifiers = HashMap::default();
+        self.modifier_uuids.clear();
+    }
+
     pub fn clean_all(&mut self) -> Vec<Uuid> {
         self.clean_shape_cache();
 
diff --git a/render-wasm/src/wasm/transforms.rs b/render-wasm/src/wasm/transforms.rs
index 87989c545b..e8c92da247 100644
--- a/render-wasm/src/wasm/transforms.rs
+++ b/render-wasm/src/wasm/transforms.rs
@@ -76,7 +76,7 @@ impl From<RawTransformEntry> for TransformEntry {
 
 #[no_mangle]
 #[wasm_error]
-pub extern "C" fn propagate_modifiers(pixel_precision: bool) -> Result<*mut u8> {
+pub extern "C" fn propagate_modifiers(pixel_precision: u8) -> Result<*mut u8> {
     let bytes = mem::bytes();
 
     let entries: Vec<TransformEntry> = bytes
@@ -85,7 +85,8 @@ pub extern "C" fn propagate_modifiers(pixel_precision: bool) -> Result<*mut u8>
         .collect::<Result<Vec<_>>>()?;
 
     with_state!(state, {
-        let result = shapes::propagate_modifiers(state, &entries, pixel_precision)?;
+        state.shapes.clear_transform_modifiers();
+        let result = shapes::propagate_modifiers(state, &entries, pixel_precision.into())?;
         Ok(mem::write_vec(result))
     })
 }