diff --git a/crates/bone-app/src/relation_tools.rs b/crates/bone-app/src/relation_tools.rs
index daa056a..d5ccd78 100644
--- a/crates/bone-app/src/relation_tools.rs
+++ b/crates/bone-app/src/relation_tools.rs
@@ -15,6 +15,7 @@ pub enum RelationKind {
     Equal,
     Concentric,
     Midpoint,
+    Symmetric,
     Fix,
 }
 
@@ -42,6 +43,7 @@ impl RelationKind {
         Self::Equal,
         Self::Concentric,
         Self::Midpoint,
+        Self::Symmetric,
         Self::Fix,
     ];
 
@@ -92,6 +94,11 @@ impl RelationKind {
                 label: strings::TOOL_MIDPOINT,
                 check: midpoint,
             },
+            Self::Symmetric => RelationDescriptor {
+                key: "rel.symmetric",
+                label: strings::TOOL_SYMMETRIC,
+                check: symmetric,
+            },
             Self::Fix => RelationDescriptor {
                 key: "rel.fix",
                 label: strings::TOOL_FIX,
@@ -229,6 +236,41 @@ fn fix(sketch: &Sketch, selection: &[SketchEntityId]) -> Eligibility {
     )
 }
 
+fn symmetric(sketch: &Sketch, selection: &[SketchEntityId]) -> Eligibility {
+    let disabled = || Eligibility::Disabled(strings::REL_HINT_SYMMETRIC);
+    if selection.len() != 3 {
+        return disabled();
+    }
+    let kinds: Vec<(SketchEntityId, SketchEntityKind)> = selection
+        .iter()
+        .filter_map(|id| sketch.entities().get(*id).map(|e| (*id, e.kind())))
+        .collect();
+    if kinds.len() != 3 {
+        return disabled();
+    }
+    let points: Vec<SketchEntityId> = kinds
+        .iter()
+        .filter(|(_, k)| *k == SketchEntityKind::Point)
+        .map(|(id, _)| *id)
+        .collect();
+    let lines: Vec<SketchEntityId> = kinds
+        .iter()
+        .filter(|(_, k)| *k == SketchEntityKind::Line)
+        .map(|(id, _)| *id)
+        .collect();
+    let [a, b] = points.as_slice() else {
+        return disabled();
+    };
+    let [axis] = lines.as_slice() else {
+        return disabled();
+    };
+    Eligibility::Eligible(SketchRelation::Symmetric {
+        a: *a,
+        b: *b,
+        axis: *axis,
+    })
+}
+
 fn pair_eligibility(
     sketch: &Sketch,
     selection: &[SketchEntityId],
@@ -307,10 +349,10 @@ mod tests {
 
     #[test]
     fn relation_kind_all_matches_descriptor_arms() {
-        assert_eq!(RelationKind::ALL.len(), 10);
+        assert_eq!(RelationKind::ALL.len(), 11);
         let keys: std::collections::BTreeSet<_> =
             RelationKind::ALL.iter().map(|k| k.key()).collect();
-        assert_eq!(keys.len(), 10, "every kind has a unique widget key");
+        assert_eq!(keys.len(), 11, "every kind has a unique widget key");
     }
 
     #[test]
diff --git a/crates/bone-app/src/strings.rs b/crates/bone-app/src/strings.rs
index 8a77e8f..a71c86e 100644
--- a/crates/bone-app/src/strings.rs
+++ b/crates/bone-app/src/strings.rs
@@ -38,6 +38,7 @@ pub const TOOL_EQUAL: StringKey = StringKey::new("tool.equal");
 pub const TOOL_CONCENTRIC: StringKey = StringKey::new("tool.concentric");
 pub const TOOL_FIX: StringKey = StringKey::new("tool.fix");
 pub const TOOL_MIDPOINT: StringKey = StringKey::new("tool.midpoint");
+pub const TOOL_SYMMETRIC: StringKey = StringKey::new("tool.symmetric");
 
 pub const REL_HINT_ONE_LINE: StringKey = StringKey::new("rel.hint.one_line");
 pub const REL_HINT_TWO_LINES: StringKey = StringKey::new("rel.hint.two_lines");
@@ -47,6 +48,8 @@ pub const REL_HINT_TANGENT: StringKey = StringKey::new("rel.hint.tangent");
 pub const REL_HINT_EQUAL: StringKey = StringKey::new("rel.hint.equal");
 pub const REL_HINT_MIDPOINT: StringKey = StringKey::new("rel.hint.midpoint");
 pub const REL_HINT_ENTITY: StringKey = StringKey::new("rel.hint.entity");
+pub const REL_HINT_SYMMETRIC: StringKey = StringKey::new("rel.hint.symmetric");
+pub const PROPERTY_ROW_AXIS: StringKey = StringKey::new("property.row.axis");
 
 pub const TOOL_SMART_DIMENSION: StringKey = StringKey::new("tool.smart_dimension");
 pub const TOOL_RADIUS: StringKey = StringKey::new("tool.radius");
@@ -130,15 +133,40 @@ pub const MENU_EDIT_REDO: StringKey = StringKey::new("menu.edit.redo");
 pub const MENU_VIEW_ZOOM_FIT: StringKey = StringKey::new("menu.view.zoom_fit");
 pub const MENU_PLACEHOLDER_COMING_SOON: StringKey = StringKey::new("menu.placeholder.coming_soon");
 pub const MENU_TOOLS_OPTIONS: StringKey = StringKey::new("menu.tools.options");
+pub const MENU_TOOLS_KEYBOARD: StringKey = StringKey::new("menu.tools.keyboard");
+pub const KEYBOARD_DIALOG_TITLE: StringKey = StringKey::new("keyboard.dialog.title");
 pub const SETTINGS_DIALOG_TITLE: StringKey = StringKey::new("settings.dialog.title");
 pub const SETTINGS_PICK_APERTURE_LABEL: StringKey = StringKey::new("settings.pick_aperture.label");
 pub const SETTINGS_PICK_APERTURE_HINT: StringKey = StringKey::new("settings.pick_aperture.hint");
 pub const SETTINGS_RESET: StringKey = StringKey::new("settings.reset");
 pub const SETTINGS_CLOSE: StringKey = StringKey::new("settings.close");
-pub const SHORTCUT_QUIT: StringKey = StringKey::new("shortcut.quit");
-pub const SHORTCUT_UNDO: StringKey = StringKey::new("shortcut.undo");
-pub const SHORTCUT_REDO: StringKey = StringKey::new("shortcut.redo");
-pub const SHORTCUT_ZOOM_FIT: StringKey = StringKey::new("shortcut.zoom_fit");
+pub const HOTKEY_SECTION_HEADING: StringKey = StringKey::new("hotkey.section.heading");
+pub const HOTKEY_RECORDING_HINT: StringKey = StringKey::new("hotkey.recording.hint");
+pub const HOTKEY_RECORDING_PROMPT: StringKey = StringKey::new("hotkey.recording.prompt");
+pub const HOTKEY_UNBOUND_LABEL: StringKey = StringKey::new("hotkey.unbound.label");
+pub const HOTKEY_LABEL_SKETCH: StringKey = StringKey::new("hotkey.label.sketch");
+pub const HOTKEY_LABEL_ESCAPE: StringKey = StringKey::new("hotkey.label.escape");
+pub const HOTKEY_LABEL_SMART_DIMENSION: StringKey = StringKey::new("hotkey.label.smart_dimension");
+pub const HOTKEY_LABEL_TRIM: StringKey = StringKey::new("hotkey.label.trim");
+pub const HOTKEY_LABEL_EXTEND: StringKey = StringKey::new("hotkey.label.extend");
+pub const HOTKEY_LABEL_MIRROR: StringKey = StringKey::new("hotkey.label.mirror");
+pub const HOTKEY_LABEL_CONSTRUCTION_TOGGLE: StringKey =
+    StringKey::new("hotkey.label.construction_toggle");
+pub const HOTKEY_LABEL_UNDO: StringKey = StringKey::new("hotkey.label.undo");
+pub const HOTKEY_LABEL_REDO: StringKey = StringKey::new("hotkey.label.redo");
+pub const HOTKEY_LABEL_NEW: StringKey = StringKey::new("hotkey.label.new");
+pub const HOTKEY_LABEL_OPEN: StringKey = StringKey::new("hotkey.label.open");
+pub const HOTKEY_LABEL_SAVE: StringKey = StringKey::new("hotkey.label.save");
+pub const HOTKEY_LABEL_SELECT_ALL: StringKey = StringKey::new("hotkey.label.select_all");
+pub const HOTKEY_LABEL_DELETE_SELECTION: StringKey =
+    StringKey::new("hotkey.label.delete_selection");
+pub const HOTKEY_LABEL_ZOOM_FIT: StringKey = StringKey::new("hotkey.label.zoom_fit");
+pub const HOTKEY_LABEL_SHORTCUT_BAR: StringKey = StringKey::new("hotkey.label.shortcut_bar");
+pub const HOTKEY_LABEL_QUIT: StringKey = StringKey::new("hotkey.label.quit");
+pub const NOTIFY_COMING_SOON: StringKey = StringKey::new("notify.coming_soon");
+pub const NOTIFY_MIRROR_SELECTION_HINT: StringKey = StringKey::new("notify.mirror.selection_hint");
+pub const NOTIFY_HOTKEY_CONFLICT: StringKey = StringKey::new("notify.hotkey.conflict");
+pub const SHORTCUT_BAR_TITLE: StringKey = StringKey::new("shortcut_bar.title");
 
 pub const PROPERTY_PANE_NO_SELECTION: StringKey = StringKey::new("property.no_selection");
 pub const PROPERTY_ROW_KIND: StringKey = StringKey::new("property.row.kind");
@@ -227,6 +255,7 @@ const EN_US: &[(StringKey, &str)] = &[
     (TOOL_CONCENTRIC, "Concentric"),
     (TOOL_FIX, "Fix"),
     (TOOL_MIDPOINT, "Midpoint"),
+    (TOOL_SYMMETRIC, "Symmetric"),
     (REL_HINT_ONE_LINE, "Select a line"),
     (REL_HINT_TWO_LINES, "Select two lines"),
     (REL_HINT_COINCIDENT, "Select a point and another entity"),
@@ -235,6 +264,8 @@ const EN_US: &[(StringKey, &str)] = &[
     (REL_HINT_EQUAL, "Select two lines or two curves"),
     (REL_HINT_MIDPOINT, "Select a point and a line"),
     (REL_HINT_ENTITY, "Select an entity"),
+    (REL_HINT_SYMMETRIC, "Select two points and a line"),
+    (PROPERTY_ROW_AXIS, "Axis"),
     (TOOL_SMART_DIMENSION, "Smart Dimension"),
     (TOOL_RADIUS, "Radius"),
     (TOOL_DIAMETER, "Diameter"),
@@ -320,6 +351,8 @@ const EN_US: &[(StringKey, &str)] = &[
     (MENU_VIEW_ZOOM_FIT, "Zoom to Fit"),
     (MENU_PLACEHOLDER_COMING_SOON, "Coming Soon"),
     (MENU_TOOLS_OPTIONS, "Options..."),
+    (MENU_TOOLS_KEYBOARD, "Customize Keyboard..."),
+    (KEYBOARD_DIALOG_TITLE, "Customize Keyboard"),
     (SETTINGS_DIALOG_TITLE, "Selection options"),
     (SETTINGS_PICK_APERTURE_LABEL, "Pick aperture"),
     (
@@ -328,10 +361,37 @@ const EN_US: &[(StringKey, &str)] = &[
     ),
     (SETTINGS_RESET, "Reset"),
     (SETTINGS_CLOSE, "Close"),
-    (SHORTCUT_QUIT, "Ctrl+Q"),
-    (SHORTCUT_UNDO, "Ctrl+Z"),
-    (SHORTCUT_REDO, "Ctrl+Y"),
-    (SHORTCUT_ZOOM_FIT, "F"),
+    (HOTKEY_SECTION_HEADING, "Keyboard shortcuts"),
+    (HOTKEY_RECORDING_HINT, "Click to record, Esc to cancel"),
+    (HOTKEY_RECORDING_PROMPT, "Press a key..."),
+    (HOTKEY_UNBOUND_LABEL, "Unbound"),
+    (HOTKEY_LABEL_SKETCH, "Sketch"),
+    (HOTKEY_LABEL_ESCAPE, "Cancel / Exit Sketch"),
+    (HOTKEY_LABEL_SMART_DIMENSION, "Smart Dimension"),
+    (HOTKEY_LABEL_TRIM, "Trim Entities"),
+    (HOTKEY_LABEL_EXTEND, "Extend Entities"),
+    (HOTKEY_LABEL_MIRROR, "Mirror Entities"),
+    (HOTKEY_LABEL_CONSTRUCTION_TOGGLE, "Toggle Construction"),
+    (HOTKEY_LABEL_UNDO, "Undo"),
+    (HOTKEY_LABEL_REDO, "Redo"),
+    (HOTKEY_LABEL_NEW, "New"),
+    (HOTKEY_LABEL_OPEN, "Open"),
+    (HOTKEY_LABEL_SAVE, "Save"),
+    (HOTKEY_LABEL_SELECT_ALL, "Select All"),
+    (HOTKEY_LABEL_DELETE_SELECTION, "Delete"),
+    (HOTKEY_LABEL_ZOOM_FIT, "Zoom to Fit"),
+    (HOTKEY_LABEL_SHORTCUT_BAR, "Shortcut Bar"),
+    (HOTKEY_LABEL_QUIT, "Quit"),
+    (NOTIFY_COMING_SOON, "Coming soon"),
+    (
+        NOTIFY_MIRROR_SELECTION_HINT,
+        "Select entities to mirror plus one axis line.",
+    ),
+    (
+        NOTIFY_HOTKEY_CONFLICT,
+        "Shortcut already used by another command.",
+    ),
+    (SHORTCUT_BAR_TITLE, "Shortcut Bar"),
     (PROPERTY_PANE_NO_SELECTION, "Nothing selected"),
     (PROPERTY_ROW_KIND, "Type"),
     (PROPERTY_ROW_X, "X"),
@@ -407,6 +467,7 @@ const AR_XB: &[(StringKey, &str)] = &[
     (TOOL_CONCENTRIC, "[!! Concêntric !!]"),
     (TOOL_FIX, "[!! Fîx !!]"),
     (TOOL_MIDPOINT, "[!! Mîdpoint !!]"),
+    (TOOL_SYMMETRIC, "[!! Symmêtric !!]"),
     (REL_HINT_ONE_LINE, "[!! Sêlect a lîne !!]"),
     (REL_HINT_TWO_LINES, "[!! Sêlect twô lînes !!]"),
     (
@@ -421,6 +482,8 @@ const AR_XB: &[(StringKey, &str)] = &[
     (REL_HINT_EQUAL, "[!! Sêlect twô lînes ôr twô cûrves !!]"),
     (REL_HINT_MIDPOINT, "[!! Sêlect a pôint ând a lîne !!]"),
     (REL_HINT_ENTITY, "[!! Sêlect an êntity !!]"),
+    (REL_HINT_SYMMETRIC, "[!! Sêlect twô pôints ând a lîne !!]"),
+    (PROPERTY_ROW_AXIS, "[!! Âxis !!]"),
     (TOOL_SMART_DIMENSION, "[!! Smârt Dimensiôn !!]"),
     (TOOL_RADIUS, "[!! Râdius !!]"),
     (TOOL_DIAMETER, "[!! Dîameter !!]"),
@@ -509,6 +572,8 @@ const AR_XB: &[(StringKey, &str)] = &[
     (MENU_VIEW_ZOOM_FIT, "[!! Zôom to Fît !!]"),
     (MENU_PLACEHOLDER_COMING_SOON, "[!! Côming Sôon !!]"),
     (MENU_TOOLS_OPTIONS, "[!! Ôptions... !!]"),
+    (MENU_TOOLS_KEYBOARD, "[!! Custômize Kêyboard... !!]"),
+    (KEYBOARD_DIALOG_TITLE, "[!! Custômize Kêyboard !!]"),
     (SETTINGS_DIALOG_TITLE, "[!! Sêlection ôptions !!]"),
     (SETTINGS_PICK_APERTURE_LABEL, "[!! Pîck âperture !!]"),
     (
@@ -517,10 +582,43 @@ const AR_XB: &[(StringKey, &str)] = &[
     ),
     (SETTINGS_RESET, "[!! Resêt !!]"),
     (SETTINGS_CLOSE, "[!! Clôse !!]"),
-    (SHORTCUT_QUIT, "Ctrl+Q"),
-    (SHORTCUT_UNDO, "Ctrl+Z"),
-    (SHORTCUT_REDO, "Ctrl+Y"),
-    (SHORTCUT_ZOOM_FIT, "F"),
+    (HOTKEY_SECTION_HEADING, "[!! Kêyboard shortcûts !!]"),
+    (
+        HOTKEY_RECORDING_HINT,
+        "[!! Clîck to recôrd, Êsc to cancêl !!]",
+    ),
+    (HOTKEY_RECORDING_PROMPT, "[!! Prêss a kêy... !!]"),
+    (HOTKEY_UNBOUND_LABEL, "[!! Unbôund !!]"),
+    (HOTKEY_LABEL_SKETCH, "[!! Skêtch !!]"),
+    (HOTKEY_LABEL_ESCAPE, "[!! Cancêl / Êxit Skêtch !!]"),
+    (HOTKEY_LABEL_SMART_DIMENSION, "[!! Smârt Dîmension !!]"),
+    (HOTKEY_LABEL_TRIM, "[!! Trîm Êntities !!]"),
+    (HOTKEY_LABEL_EXTEND, "[!! Extênd Êntities !!]"),
+    (HOTKEY_LABEL_MIRROR, "[!! Mîrror Êntities !!]"),
+    (
+        HOTKEY_LABEL_CONSTRUCTION_TOGGLE,
+        "[!! Tôggle Constrûction !!]",
+    ),
+    (HOTKEY_LABEL_UNDO, "[!! Undô !!]"),
+    (HOTKEY_LABEL_REDO, "[!! Redô !!]"),
+    (HOTKEY_LABEL_NEW, "[!! Néw !!]"),
+    (HOTKEY_LABEL_OPEN, "[!! Ôpen !!]"),
+    (HOTKEY_LABEL_SAVE, "[!! Sâve !!]"),
+    (HOTKEY_LABEL_SELECT_ALL, "[!! Sêlect Âll !!]"),
+    (HOTKEY_LABEL_DELETE_SELECTION, "[!! Delête !!]"),
+    (HOTKEY_LABEL_ZOOM_FIT, "[!! Zôom to Fît !!]"),
+    (HOTKEY_LABEL_SHORTCUT_BAR, "[!! Shortcût Bâr !!]"),
+    (HOTKEY_LABEL_QUIT, "[!! Quît !!]"),
+    (NOTIFY_COMING_SOON, "[!! Côming sôon !!]"),
+    (
+        NOTIFY_MIRROR_SELECTION_HINT,
+        "[!! Sêlect entîties tô mîrror plûs ône âxis lîne. !!]",
+    ),
+    (
+        NOTIFY_HOTKEY_CONFLICT,
+        "[!! Shortcût alrêady ûsed by anôther commând. !!]",
+    ),
+    (SHORTCUT_BAR_TITLE, "[!! Shortcût Bâr !!]"),
     (PROPERTY_PANE_NO_SELECTION, "[!! Nôthing sêlected !!]"),
     (PROPERTY_ROW_KIND, "[!! Týpe !!]"),
     (PROPERTY_ROW_X, "X"),
diff --git a/crates/bone-document/src/sketch/mod.rs b/crates/bone-document/src/sketch/mod.rs
index 0e5a6f4..4ba7684 100644
--- a/crates/bone-document/src/sketch/mod.rs
+++ b/crates/bone-document/src/sketch/mod.rs
@@ -276,6 +276,12 @@ impl Sketch {
                 }
                 _ => false,
             },
+            SketchRelation::Symmetric { a, b, axis } => {
+                self.kind_of(a)? == K::Point
+                    && self.kind_of(b)? == K::Point
+                    && self.kind_of(axis)? == K::Line
+                    && a != b
+            }
             SketchRelation::Fix(a) => {
                 self.kind_of(a)?;
                 true
diff --git a/crates/bone-document/src/sketch/relation.rs b/crates/bone-document/src/sketch/relation.rs
index 88ba13a..56c4b80 100644
--- a/crates/bone-document/src/sketch/relation.rs
+++ b/crates/bone-document/src/sketch/relation.rs
@@ -15,6 +15,11 @@ pub enum SketchRelation {
         point: SketchEntityId,
         line: SketchEntityId,
     },
+    Symmetric {
+        a: SketchEntityId,
+        b: SketchEntityId,
+        axis: SketchEntityId,
+    },
     Fix(SketchEntityId),
 }
 
@@ -27,9 +32,12 @@ impl SketchRelation {
             | Self::Perpendicular(a, b)
             | Self::Tangent(a, b)
             | Self::Equal(a, b)
-            | Self::Concentric(a, b) => RelationRefs([Some(a), Some(b)]),
-            Self::Midpoint { point, line } => RelationRefs([Some(point), Some(line)]),
-            Self::Horizontal(a) | Self::Vertical(a) | Self::Fix(a) => RelationRefs([Some(a), None]),
+            | Self::Concentric(a, b) => RelationRefs([Some(a), Some(b), None]),
+            Self::Midpoint { point, line } => RelationRefs([Some(point), Some(line), None]),
+            Self::Symmetric { a, b, axis } => RelationRefs([Some(a), Some(b), Some(axis)]),
+            Self::Horizontal(a) | Self::Vertical(a) | Self::Fix(a) => {
+                RelationRefs([Some(a), None, None])
+            }
         }
     }
 
@@ -43,17 +51,17 @@ impl SketchRelation {
             | Self::Equal(a, b)
             | Self::Concentric(a, b) => Some((a, b)),
             Self::Midpoint { point, line } => Some((point, line)),
-            Self::Horizontal(_) | Self::Vertical(_) | Self::Fix(_) => None,
+            Self::Symmetric { .. } | Self::Horizontal(_) | Self::Vertical(_) | Self::Fix(_) => None,
         }
     }
 }
 
 #[derive(Copy, Clone, Debug, PartialEq)]
-pub struct RelationRefs([Option<SketchEntityId>; 2]);
+pub struct RelationRefs([Option<SketchEntityId>; 3]);
 
 impl IntoIterator for RelationRefs {
     type Item = SketchEntityId;
-    type IntoIter = core::iter::Flatten<core::array::IntoIter<Option<SketchEntityId>, 2>>;
+    type IntoIter = core::iter::Flatten<core::array::IntoIter<Option<SketchEntityId>, 3>>;
 
     fn into_iter(self) -> Self::IntoIter {
         self.0.into_iter().flatten()
diff --git a/crates/bone-document/src/sketch/solve.rs b/crates/bone-document/src/sketch/solve.rs
index 978597d..3783176 100644
--- a/crates/bone-document/src/sketch/solve.rs
+++ b/crates/bone-document/src/sketch/solve.rs
@@ -418,10 +418,32 @@ fn lower_relation(
         SketchRelation::Equal(a, b) => lower_equal(sketch, a, b, points, radii),
         SketchRelation::Concentric(a, b) => lower_concentric(sketch, a, b, points),
         SketchRelation::Midpoint { point, line } => lower_midpoint(sketch, point, line, points),
+        SketchRelation::Symmetric { a, b, axis } => lower_symmetric(sketch, a, b, axis, points),
         SketchRelation::Fix(id) => lower_fix(sketch, id, points, radii, parameters),
     }
 }
 
+fn lower_symmetric(
+    sketch: &Sketch,
+    a: SketchEntityId,
+    b: SketchEntityId,
+    axis: SketchEntityId,
+    points: &BTreeMap<SketchEntityId, PointHandle>,
+) -> Vec<Residual> {
+    let (Some(a_handle), Some(b_handle), Some(line)) = (
+        points.get(&a).copied(),
+        points.get(&b).copied(),
+        line_handle(sketch, axis, points),
+    ) else {
+        return Vec::new();
+    };
+    vec![Residual::Symmetric {
+        a: a_handle,
+        b: b_handle,
+        axis: line,
+    }]
+}
+
 fn lower_coincident(
     sketch: &Sketch,
     a: SketchEntityId,
diff --git a/crates/bone-render/assets/relation_glyphs.png b/crates/bone-render/assets/relation_glyphs.png
index 8e8be9537fe798b0ae0bbb8828ab9fe36e40bd89..41c7a8c5aad07092aabadf2b447f064768a96eb8 100644
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zaQQAy=!ej{A1V*>A--GnfBS^ob-(JlZ$86d)?*i@n`jgsw-N1#AMWB+VS1Spqhc5s
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diff --git a/crates/bone-render/src/pipelines/glyph.rs b/crates/bone-render/src/pipelines/glyph.rs
index c93fb36..76007d1 100644
--- a/crates/bone-render/src/pipelines/glyph.rs
+++ b/crates/bone-render/src/pipelines/glyph.rs
@@ -409,6 +409,10 @@ mod tests {
                 segment(x, y, 6.0, 16.0, 26.0, 16.0, 1.8),
                 segment(x, y, 16.0, 11.0, 16.0, 21.0, 1.8),
             ),
+            RelationGlyphKind::Symmetric => combine(
+                segment(x, y, 16.0, 4.0, 16.0, 28.0, 1.4),
+                combine(disc(x, y, 9.0, 16.0, 3.5), disc(x, y, 23.0, 16.0, 3.5)),
+            ),
         }
     }
 
diff --git a/crates/bone-render/src/scene.rs b/crates/bone-render/src/scene.rs
index 9c24694..2764dd9 100644
--- a/crates/bone-render/src/scene.rs
+++ b/crates/bone-render/src/scene.rs
@@ -149,6 +149,7 @@ pub enum RelationGlyphKind {
     Concentric = 7,
     Fix = 8,
     Midpoint = 9,
+    Symmetric = 10,
 }
 
 impl RelationGlyphKind {
@@ -170,6 +171,7 @@ impl RelationGlyphKind {
             7 => Some(Self::Concentric),
             8 => Some(Self::Fix),
             9 => Some(Self::Midpoint),
+            10 => Some(Self::Symmetric),
             _ => None,
         }
     }
@@ -186,12 +188,13 @@ impl RelationGlyphKind {
             SketchRelation::Equal(_, _) => Self::Equal,
             SketchRelation::Concentric(_, _) => Self::Concentric,
             SketchRelation::Midpoint { .. } => Self::Midpoint,
+            SketchRelation::Symmetric { .. } => Self::Symmetric,
             SketchRelation::Fix(_) => Self::Fix,
         }
     }
 
     #[must_use]
-    pub const fn all() -> [Self; 10] {
+    pub const fn all() -> [Self; 11] {
         [
             Self::Coincident,
             Self::Horizontal,
@@ -203,6 +206,7 @@ impl RelationGlyphKind {
             Self::Concentric,
             Self::Fix,
             Self::Midpoint,
+            Self::Symmetric,
         ]
     }
 }
diff --git a/crates/bone-render/tests/goldens/relations_256.png b/crates/bone-render/tests/goldens/relations_256.png
index 33a11ac6bd025d56d8d8c71f701b7ee8a136db88..8da95872570a46bbab35c4e73a93679a371feeaa 100644
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diff --git a/crates/bone-render/tests/relations.rs b/crates/bone-render/tests/relations.rs
index ec87215..50704c7 100644
--- a/crates/bone-render/tests/relations.rs
+++ b/crates/bone-render/tests/relations.rs
@@ -132,6 +132,20 @@ fn one_per_kind_scene() -> SketchScene {
         },
     );
 
+    let (s, sym_a0) = add_point(s, 6.5, -2.5);
+    let (s, sym_a1) = add_point(s, 9.0, -2.5);
+    let (s, sym_axis) = add_line(s, sym_a0, sym_a1);
+    let (s, sym_p) = add_point(s, 7.5, -1.5);
+    let (s, sym_q) = add_point(s, 7.5, -3.5);
+    let s = add_relation(
+        s,
+        SketchRelation::Symmetric {
+            a: sym_p,
+            b: sym_q,
+            axis: sym_axis,
+        },
+    );
+
     let Ok(scene) = SketchScene::extract(&s) else {
         panic!("scene extract");
     };
diff --git a/crates/bone-solver/src/residual.rs b/crates/bone-solver/src/residual.rs
index a55cef1..1fa2493 100644
--- a/crates/bone-solver/src/residual.rs
+++ b/crates/bone-solver/src/residual.rs
@@ -80,6 +80,11 @@ pub enum Residual {
         curve: CurveRadius,
         value_mm: f64,
     },
+    Symmetric {
+        a: PointHandle,
+        b: PointHandle,
+        axis: LineHandle,
+    },
 }
 
 pub type Triplet = (ResidualIndex, ParameterIndex, f64);
@@ -88,7 +93,9 @@ impl Residual {
     #[must_use]
     pub fn rows(&self) -> usize {
         match self {
-            Self::CoincidentPointPoint(..) | Self::MidpointPointLine { .. } => 2,
+            Self::CoincidentPointPoint(..)
+            | Self::MidpointPointLine { .. }
+            | Self::Symmetric { .. } => 2,
             _ => 1,
         }
     }
@@ -128,6 +135,11 @@ impl Residual {
                 line_params(a).into_iter().chain(line_params(b)).collect()
             }
             Self::RadiusCurve { curve, .. } => curve_params(curve),
+            Self::Symmetric { a, b, axis } => point_params(a)
+                .into_iter()
+                .chain(point_params(b))
+                .chain(line_params(axis))
+                .collect(),
         }
     }
 
@@ -219,6 +231,17 @@ impl Residual {
             Self::RadiusCurve { curve, value_mm } => {
                 out[0] = radius_squared(params, curve) - value_mm * value_mm;
             }
+            Self::Symmetric { a, b, axis } => {
+                let (ax, ay) = (get(params, a.x), get(params, a.y));
+                let (bx, by) = (get(params, b.x), get(params, b.y));
+                let (dx, dy) = delta(params, axis);
+                let lax = get(params, axis.a.x);
+                let lay = get(params, axis.a.y);
+                out[0] = (bx - ax) * dx + (by - ay) * dy;
+                let mx = 0.5 * (ax + bx) - lax;
+                let my = 0.5 * (ay + by) - lay;
+                out[1] = mx * dy - my * dx;
+            }
         }
     }
 
@@ -277,10 +300,49 @@ impl Residual {
             Self::RadiusCurve { curve, .. } => {
                 add_radius_squared_jacobian(params, row, curve, sink);
             }
+            Self::Symmetric { a, b, axis } => {
+                jacobian_symmetric(params, row, a, b, axis, sink);
+            }
         }
     }
 }
 
+fn jacobian_symmetric(
+    params: &[f64],
+    row: ResidualIndex,
+    a: PointHandle,
+    b: PointHandle,
+    axis: LineHandle,
+    sink: &mut Vec<Triplet>,
+) {
+    let (dx, dy) = delta(params, axis);
+    let (ax, ay) = (get(params, a.x), get(params, a.y));
+    let (bx, by) = (get(params, b.x), get(params, b.y));
+    let lax = get(params, axis.a.x);
+    let lay = get(params, axis.a.y);
+    let mx = 0.5 * (ax + bx) - lax;
+    let my = 0.5 * (ay + by) - lay;
+    let bxa_x = bx - ax;
+    let bxa_y = by - ay;
+    sink.push((row, a.x, -dx));
+    sink.push((row, a.y, -dy));
+    sink.push((row, b.x, dx));
+    sink.push((row, b.y, dy));
+    sink.push((row, axis.a.x, -bxa_x));
+    sink.push((row, axis.a.y, -bxa_y));
+    sink.push((row, axis.b.x, bxa_x));
+    sink.push((row, axis.b.y, bxa_y));
+    let row2 = row.next();
+    sink.push((row2, a.x, 0.5 * dy));
+    sink.push((row2, a.y, -0.5 * dx));
+    sink.push((row2, b.x, 0.5 * dy));
+    sink.push((row2, b.y, -0.5 * dx));
+    sink.push((row2, axis.a.x, -dy + my));
+    sink.push((row2, axis.a.y, -mx + dx));
+    sink.push((row2, axis.b.x, -my));
+    sink.push((row2, axis.b.y, mx));
+}
+
 fn jacobian_parallel(
     params: &[f64],
     row: ResidualIndex,
diff --git a/crates/bone-solver/src/system.rs b/crates/bone-solver/src/system.rs
index 8825ef3..95243a2 100644
--- a/crates/bone-solver/src/system.rs
+++ b/crates/bone-solver/src/system.rs
@@ -254,5 +254,10 @@ fn remap_residual(r: &Residual, m: &BTreeMap<ParameterIndex, ParameterIndex>) ->
             curve: curve(c),
             value_mm,
         },
+        Residual::Symmetric { a, b, axis } => Residual::Symmetric {
+            a: point(a),
+            b: point(b),
+            axis: line(axis),
+        },
     }
 }
diff --git a/crates/bone-solver/tests/core.rs b/crates/bone-solver/tests/core.rs
index 9507a7c..945196f 100644
--- a/crates/bone-solver/tests/core.rs
+++ b/crates/bone-solver/tests/core.rs
@@ -174,6 +174,99 @@ fn decomposed_singular_index_is_translated_to_global_parameter() {
     }
 }
 
+#[test]
+fn symmetric_residual_is_zero_when_b_is_reflection_of_a() {
+    let system = ConstraintSystem::new(
+        parameters(&[0.0, 1.0, 0.0, -1.0, -2.0, 0.0, 2.0, 0.0]),
+        vec![Residual::Symmetric {
+            a: point(0, 1),
+            b: point(2, 3),
+            axis: LineHandle {
+                a: point(4, 5),
+                b: point(6, 7),
+            },
+        }],
+    );
+    assert_eq!(system.row_count(), 2);
+    let values = evaluate_residuals(&system, &[0.0, 1.0, 0.0, -1.0, -2.0, 0.0, 2.0, 0.0]);
+    assert!(values[0].abs() < 1e-15, "perpendicularity: {}", values[0]);
+    assert!(values[1].abs() < 1e-15, "midpoint-on-axis: {}", values[1]);
+}
+
+#[test]
+fn symmetric_residual_is_nonzero_when_b_drifts_off_reflection() {
+    let system = ConstraintSystem::new(
+        parameters(&[0.0, 1.0, 0.5, -1.0, -2.0, 0.0, 2.0, 0.0]),
+        vec![Residual::Symmetric {
+            a: point(0, 1),
+            b: point(2, 3),
+            axis: LineHandle {
+                a: point(4, 5),
+                b: point(6, 7),
+            },
+        }],
+    );
+    let values = evaluate_residuals(&system, &[0.0, 1.0, 0.5, -1.0, -2.0, 0.0, 2.0, 0.0]);
+    assert!(
+        values[0].abs() > 0.0 || values[1].abs() > 0.0,
+        "drift must surface in at least one residual",
+    );
+}
+
+#[test]
+fn symmetric_solves_to_b_as_reflection_of_a_about_x_axis() {
+    let system = ConstraintSystem::new(
+        parameters(&[0.0, 1.0, 0.5, 1.5, -2.0, 0.0, 2.0, 0.0]),
+        vec![
+            Residual::Pin {
+                param: p(0),
+                target: 0.0,
+            },
+            Residual::Pin {
+                param: p(1),
+                target: 1.0,
+            },
+            Residual::Pin {
+                param: p(4),
+                target: -2.0,
+            },
+            Residual::Pin {
+                param: p(5),
+                target: 0.0,
+            },
+            Residual::Pin {
+                param: p(6),
+                target: 2.0,
+            },
+            Residual::Pin {
+                param: p(7),
+                target: 0.0,
+            },
+            Residual::Symmetric {
+                a: point(0, 1),
+                b: point(2, 3),
+                axis: LineHandle {
+                    a: point(4, 5),
+                    b: point(6, 7),
+                },
+            },
+        ],
+    );
+    let Ok(out) = solve_newton(&system, NewtonConfig::DEFAULT) else {
+        panic!("symmetric over fixed axis must converge");
+    };
+    assert!(
+        (out[2].value() - 0.0).abs() < 1e-6,
+        "b.x = a.x for reflection over x-axis: got {}",
+        out[2].value()
+    );
+    assert!(
+        (out[3].value() - -1.0).abs() < 1e-6,
+        "b.y = -a.y for reflection over x-axis: got {}",
+        out[3].value()
+    );
+}
+
 #[test]
 fn assemble_jacobian_and_triplets_agree_on_dense_shape() {
     let system = ConstraintSystem::new(