diff --git a/components/canvas/bounds.tsx b/components/canvas/bounds.tsx
index fe64907e3..6032ef276 100644
--- a/components/canvas/bounds.tsx
+++ b/components/canvas/bounds.tsx
@@ -27,7 +27,7 @@ export default function Bounds() {
         height={height}
         pointerEvents="none"
       />
-      {width * zoom > 8 && (
+      {width * zoom > 8 && height * zoom > 8 && (
         <>
           <EdgeHorizontal
             x={minX + p}
diff --git a/components/canvas/shape.tsx b/components/canvas/shape.tsx
index 652adfef3..c1322d605 100644
--- a/components/canvas/shape.tsx
+++ b/components/canvas/shape.tsx
@@ -7,13 +7,12 @@ import styled from "styles"
 function Shape({ id }: { id: string }) {
   const rGroup = useRef<SVGGElement>(null)
 
-  const shape = useSelector(
-    ({ data: { currentPageId, document } }) =>
-      document.pages[currentPageId].shapes[id]
-  )
-
   const isSelected = useSelector((state) => state.values.selectedIds.has(id))
 
+  const shape = useSelector(
+    ({ data }) => data.document.pages[data.currentPageId].shapes[id]
+  )
+
   const handlePointerDown = useCallback(
     (e: React.PointerEvent) => {
       e.stopPropagation()
@@ -33,12 +32,12 @@ function Shape({ id }: { id: string }) {
   )
 
   const handlePointerEnter = useCallback(
-    (e: React.PointerEvent) => state.send("HOVERED_SHAPE", { id }),
+    () => state.send("HOVERED_SHAPE", { id }),
     [id]
   )
 
   const handlePointerLeave = useCallback(
-    (e: React.PointerEvent) => state.send("UNHOVERED_SHAPE", { id }),
+    () => state.send("UNHOVERED_SHAPE", { id }),
     [id]
   )
   return (
diff --git a/lib/shapes/base-shape.tsx b/lib/shapes/base-shape.tsx
new file mode 100644
index 000000000..904b3735d
--- /dev/null
+++ b/lib/shapes/base-shape.tsx
@@ -0,0 +1,19 @@
+import { Bounds, Shape } from "types"
+
+export default interface ShapeUtil<K extends Shape> {
+  create(props: Partial<K>): K
+  getBounds(this: ShapeUtil<K>, shape: K): Bounds
+  hitTest(this: ShapeUtil<K>, shape: K, test: number[]): boolean
+  hitTestBounds(this: ShapeUtil<K>, shape: K, bounds: Bounds): boolean
+  rotate(this: ShapeUtil<K>, shape: K): K
+  translate(this: ShapeUtil<K>, shape: K, delta: number[]): K
+  scale(this: ShapeUtil<K>, shape: K, scale: number): K
+  stretch(this: ShapeUtil<K>, shape: K, scaleX: number, scaleY: number): K
+  render(this: ShapeUtil<K>, shape: K): JSX.Element
+}
+
+export function createShape<T extends Shape>(
+  shape: ShapeUtil<T>
+): ShapeUtil<T> {
+  return shape
+}
diff --git a/lib/shapes/circle.tsx b/lib/shapes/circle.tsx
index b2adc6f17..1956409a3 100644
--- a/lib/shapes/circle.tsx
+++ b/lib/shapes/circle.tsx
@@ -88,8 +88,12 @@ const circle = createShape<CircleShape>({
   },
 
   transform(shape, bounds) {
-    shape.point = [bounds.minX, bounds.minY]
+    // shape.point = [bounds.minX, bounds.minY]
     shape.radius = Math.min(bounds.width, bounds.height) / 2
+    shape.point = [
+      bounds.minX + bounds.width / 2 - shape.radius,
+      bounds.minY + bounds.height / 2 - shape.radius,
+    ]
 
     return shape
   },
diff --git a/lib/shapes/index.tsx b/lib/shapes/index.tsx
index 4d61394d9..9ca162f06 100644
--- a/lib/shapes/index.tsx
+++ b/lib/shapes/index.tsx
@@ -41,7 +41,14 @@ export interface ShapeUtility<K extends Shape> {
   translate(this: ShapeUtility<K>, shape: K, delta: number[]): K
 
   // Transform to fit a new bounding box.
-  transform(this: ShapeUtility<K>, shape: K, bounds: Bounds): K
+  transform(
+    this: ShapeUtility<K>,
+    shape: K,
+    bounds: Bounds & { isFlippedX: boolean; isFlippedY: boolean },
+    initialShape: K,
+    initialShapeBounds: BoundsSnapshot,
+    initialBounds: Bounds
+  ): K
 
   // Apply a scale to a shape.
   scale(this: ShapeUtility<K>, shape: K, scale: number): K
diff --git a/lib/shapes/line.tsx b/lib/shapes/line.tsx
index 54c2db6b5..e3ebcea4f 100644
--- a/lib/shapes/line.tsx
+++ b/lib/shapes/line.tsx
@@ -16,15 +16,23 @@ const line = createShape<LineShape>({
       parentId: "page0",
       childIndex: 0,
       point: [0, 0],
-      vector: [0, 0],
+      direction: [0, 0],
       rotation: 0,
       style: {},
       ...props,
     }
   },
 
-  render({ id }) {
-    return <circle id={id} cx={4} cy={4} r={4} />
+  render({ id, direction }) {
+    const [x1, y1] = vec.add([0, 0], vec.mul(direction, 100000))
+    const [x2, y2] = vec.sub([0, 0], vec.mul(direction, 100000))
+
+    return (
+      <g id={id}>
+        <line x1={x1} y1={y1} x2={x2} y2={y2} />
+        <circle cx={0} cy={0} r={4} />
+      </g>
+    )
   },
 
   getBounds(shape) {
@@ -38,11 +46,11 @@ const line = createShape<LineShape>({
 
     const bounds = {
       minX: x,
-      maxX: x + 8,
+      maxX: x + 1,
       minY: y,
-      maxY: y + 8,
-      width: 8,
-      height: 8,
+      maxY: y + 1,
+      width: 1,
+      height: 1,
     }
 
     this.boundsCache.set(shape, bounds)
@@ -55,11 +63,7 @@ const line = createShape<LineShape>({
   },
 
   hitTestBounds(this, shape, brushBounds) {
-    const shapeBounds = this.getBounds(shape)
-    return (
-      boundsContained(shapeBounds, brushBounds) ||
-      intersectCircleBounds(shape.point, 4, brushBounds).length > 0
-    )
+    return true
   },
 
   rotate(shape) {
@@ -80,6 +84,8 @@ const line = createShape<LineShape>({
   },
 
   transform(shape, bounds) {
+    shape.point = [bounds.minX, bounds.minY]
+
     return shape
   },
 })
diff --git a/lib/shapes/polyline.tsx b/lib/shapes/polyline.tsx
index d00ea8e2b..efb5cbab9 100644
--- a/lib/shapes/polyline.tsx
+++ b/lib/shapes/polyline.tsx
@@ -90,15 +90,20 @@ const polyline = createShape<PolylineShape>({
     return shape
   },
 
-  transform(shape, bounds) {
-    const currentBounds = this.getBounds(shape)
+  transform(shape, bounds, initialShape, initialShapeBounds) {
+    shape.points = shape.points.map((_, i) => {
+      const [x, y] = initialShape.points[i]
 
-    const scaleX = bounds.width / currentBounds.width
-    const scaleY = bounds.height / currentBounds.height
-
-    shape.points = shape.points.map((point) => {
-      let pt = vec.mulV(point, [scaleX, scaleY])
-      return pt
+      return [
+        bounds.width *
+          (bounds.isFlippedX
+            ? 1 - x / initialShapeBounds.width
+            : x / initialShapeBounds.width),
+        bounds.height *
+          (bounds.isFlippedY
+            ? 1 - y / initialShapeBounds.height
+            : y / initialShapeBounds.height),
+      ]
     })
 
     shape.point = [bounds.minX, bounds.minY]
diff --git a/lib/shapes/ray.tsx b/lib/shapes/ray.tsx
index 1f9895a5d..3d9b97a54 100644
--- a/lib/shapes/ray.tsx
+++ b/lib/shapes/ray.tsx
@@ -16,7 +16,7 @@ const ray = createShape<RayShape>({
       parentId: "page0",
       childIndex: 0,
       point: [0, 0],
-      vector: [0, 0],
+      direction: [0, 0],
       rotation: 0,
       style: {},
       ...props,
diff --git a/state/commands/index.ts b/state/commands/index.ts
index 4fc69107a..77bba06a4 100644
--- a/state/commands/index.ts
+++ b/state/commands/index.ts
@@ -1,5 +1,6 @@
 import translate from "./translate-command"
+import transform from "./transform-command"
 
-const commands = { translate }
+const commands = { translate, transform }
 
 export default commands
diff --git a/state/commands/transform-command.ts b/state/commands/transform-command.ts
new file mode 100644
index 000000000..18bb125b5
--- /dev/null
+++ b/state/commands/transform-command.ts
@@ -0,0 +1,67 @@
+import Command from "./command"
+import history from "../history"
+import { Data } from "types"
+import { TransformSnapshot } from "state/sessions/transform-session"
+import { getShapeUtils } from "lib/shapes"
+
+export default function translateCommand(
+  data: Data,
+  before: TransformSnapshot,
+  after: TransformSnapshot
+) {
+  history.execute(
+    data,
+    new Command({
+      name: "translate_shapes",
+      category: "canvas",
+      do(data) {
+        const { shapeBounds, initialBounds, currentPageId, selectedIds } = after
+        const { shapes } = data.document.pages[currentPageId]
+
+        selectedIds.forEach((id) => {
+          const { initialShape, initialShapeBounds } = shapeBounds[id]
+          const shape = shapes[id]
+
+          getShapeUtils(shape).transform(
+            shape,
+            {
+              ...initialShapeBounds,
+              isFlippedX: false,
+              isFlippedY: false,
+            },
+            initialShape,
+            initialShapeBounds,
+            initialBounds
+          )
+        })
+      },
+      undo(data) {
+        const {
+          shapeBounds,
+          initialBounds,
+          currentPageId,
+          selectedIds,
+        } = before
+
+        const { shapes } = data.document.pages[currentPageId]
+
+        selectedIds.forEach((id) => {
+          const { initialShape, initialShapeBounds } = shapeBounds[id]
+          const shape = shapes[id]
+
+          getShapeUtils(shape).transform(
+            shape,
+            {
+              ...initialShapeBounds,
+              isFlippedX: false,
+              isFlippedY: false,
+            },
+            initialShape,
+            initialShapeBounds,
+            initialBounds
+          )
+        })
+      },
+    })
+  )
+}
diff --git a/state/data.ts b/state/data.ts
index 7a83525fb..98356c1b2 100644
--- a/state/data.ts
+++ b/state/data.ts
@@ -15,7 +15,7 @@ export const defaultDocument: Data["document"] = {
           childIndex: 3,
           point: [500, 100],
           style: {
-            fill: "#aaa",
+            fill: "#AAA",
             stroke: "#777",
             strokeWidth: 1,
           },
@@ -27,7 +27,7 @@ export const defaultDocument: Data["document"] = {
           point: [100, 100],
           radius: 50,
           style: {
-            fill: "#aaa",
+            fill: "#AAA",
             stroke: "#777",
             strokeWidth: 1,
           },
@@ -40,7 +40,7 @@ export const defaultDocument: Data["document"] = {
           radiusX: 50,
           radiusY: 30,
           style: {
-            fill: "#aaa",
+            fill: "#AAA",
             stroke: "#777",
             strokeWidth: 1,
           },
@@ -70,7 +70,19 @@ export const defaultDocument: Data["document"] = {
           point: [300, 300],
           size: [200, 200],
           style: {
-            fill: "#aaa",
+            fill: "#AAA",
+            stroke: "#777",
+            strokeWidth: 1,
+          },
+        }),
+        shape6: shapeUtils[ShapeType.Line].create({
+          id: "shape6",
+          name: "Shape 6",
+          childIndex: 1,
+          point: [400, 400],
+          direction: [0.2, 0.2],
+          style: {
+            fill: "#AAA",
             stroke: "#777",
             strokeWidth: 1,
           },
diff --git a/state/sessions/brush-session.ts b/state/sessions/brush-session.ts
index 80e962fb4..d1d02987c 100644
--- a/state/sessions/brush-session.ts
+++ b/state/sessions/brush-session.ts
@@ -1,7 +1,7 @@
 import { current } from "immer"
 import { ShapeUtil, Bounds, Data, Shapes } from "types"
 import BaseSession from "./base-session"
-import shapes from "lib/shapes"
+import shapes, { getShapeUtils } from "lib/shapes"
 import { getBoundsFromPoints } from "utils/utils"
 import * as vec from "utils/vec"
 
@@ -68,9 +68,7 @@ export default class BrushSession extends BaseSession {
         .map((shape) => ({
           id: shape.id,
           test: (brushBounds: Bounds): boolean =>
-            (shapes[shape.type] as ShapeUtil<
-              Shapes[typeof shape.type]
-            >).hitTestBounds(shape, brushBounds),
+            getShapeUtils(shape).hitTestBounds(shape, brushBounds),
         })),
     }
   }
diff --git a/state/sessions/transform-session.ts b/state/sessions/transform-session.ts
index 01ed7b3c6..b4ca026b8 100644
--- a/state/sessions/transform-session.ts
+++ b/state/sessions/transform-session.ts
@@ -1,4 +1,10 @@
-import { Data, TransformEdge, TransformCorner, Bounds } from "types"
+import {
+  Data,
+  TransformEdge,
+  TransformCorner,
+  Bounds,
+  BoundsSnapshot,
+} from "types"
 import * as vec from "utils/vec"
 import BaseSession from "./base-session"
 import commands from "state/commands"
@@ -11,7 +17,6 @@ export default class TransformSession extends BaseSession {
   transformType: TransformEdge | TransformCorner
   origin: number[]
   snapshot: TransformSnapshot
-  currentBounds: Bounds
   corners: {
     a: number[]
     b: number[]
@@ -29,8 +34,6 @@ export default class TransformSession extends BaseSession {
 
     const { minX, minY, maxX, maxY } = this.snapshot.initialBounds
 
-    this.currentBounds = { ...this.snapshot.initialBounds }
-
     this.corners = {
       a: [minX, minY],
       b: [maxX, maxY],
@@ -38,130 +41,144 @@ export default class TransformSession extends BaseSession {
   }
 
   update(data: Data, point: number[]) {
-    const { shapeBounds, currentPageId, selectedIds } = this.snapshot
     const {
-      document: { pages },
-    } = data
+      shapeBounds,
+      initialBounds,
+      currentPageId,
+      selectedIds,
+    } = this.snapshot
+
+    const { shapes } = data.document.pages[currentPageId]
 
     let [x, y] = point
-    const { corners, transformType } = this
+
+    const {
+      corners: { a, b },
+      transformType,
+    } = this
 
     // Edge Transform
 
     switch (transformType) {
       case TransformEdge.Top: {
-        corners.a[1] = y
+        a[1] = y
         break
       }
       case TransformEdge.Right: {
-        corners.b[0] = x
+        b[0] = x
         break
       }
       case TransformEdge.Bottom: {
-        corners.b[1] = y
+        b[1] = y
         break
       }
       case TransformEdge.Left: {
-        corners.a[0] = x
+        a[0] = x
         break
       }
       case TransformCorner.TopLeft: {
-        corners.a[1] = y
-        corners.a[0] = x
+        a[1] = y
+        a[0] = x
         break
       }
       case TransformCorner.TopRight: {
-        corners.b[0] = x
-        corners.a[1] = y
+        b[0] = x
+        a[1] = y
         break
       }
       case TransformCorner.BottomRight: {
-        corners.b[1] = y
-        corners.b[0] = x
+        b[1] = y
+        b[0] = x
         break
       }
       case TransformCorner.BottomLeft: {
-        corners.a[0] = x
-        corners.b[1] = y
+        a[0] = x
+        b[1] = y
         break
       }
     }
 
+    // Calculate new common (externior) bounding box
     const newBounds = {
-      minX: Math.min(corners.a[0], corners.b[0]),
-      minY: Math.min(corners.a[1], corners.b[1]),
-      maxX: Math.max(corners.a[0], corners.b[0]),
-      maxY: Math.max(corners.a[1], corners.b[1]),
-      width: Math.abs(corners.b[0] - corners.a[0]),
-      height: Math.abs(corners.b[1] - corners.a[1]),
+      minX: Math.min(a[0], b[0]),
+      minY: Math.min(a[1], b[1]),
+      maxX: Math.max(a[0], b[0]),
+      maxY: Math.max(a[1], b[1]),
+      width: Math.abs(b[0] - a[0]),
+      height: Math.abs(b[1] - a[1]),
     }
 
-    const isFlippedX = corners.b[0] - corners.a[0] < 0
-    const isFlippedY = corners.b[1] - corners.a[1] < 0
+    const isFlippedX = b[0] < a[0]
+    const isFlippedY = b[1] < a[1]
 
-    // const dx = newBounds.minX - currentBounds.minX
-    // const dy = newBounds.minY - currentBounds.minY
-    // const scaleX = newBounds.width / currentBounds.width
-    // const scaleY = newBounds.height / currentBounds.height
-
-    this.currentBounds = newBounds
+    // Now work backward to calculate a new bounding box for each of the shapes.
 
     selectedIds.forEach((id) => {
-      const { nx, nmx, nw, ny, nmy, nh } = shapeBounds[id]
+      const { initialShape, initialShapeBounds } = shapeBounds[id]
+      const { nx, nmx, nw, ny, nmy, nh } = initialShapeBounds
+      const shape = shapes[id]
 
       const minX = newBounds.minX + (isFlippedX ? nmx : nx) * newBounds.width
       const minY = newBounds.minY + (isFlippedY ? nmy : ny) * newBounds.height
       const width = nw * newBounds.width
       const height = nh * newBounds.height
 
-      const shape = pages[currentPageId].shapes[id]
-
-      getShapeUtils(shape).transform(shape, {
+      const newShapeBounds = {
         minX,
         minY,
         maxX: minX + width,
         maxY: minY + height,
         width,
         height,
-      })
-      // utils.stretch(shape, scaleX, scaleY)
+        isFlippedX,
+        isFlippedY,
+      }
+
+      // Pass the new data to the shape's transform utility for mutation.
+      // Most shapes should be able to transform using only the bounding box,
+      // however some shapes (e.g. those with internal points) will need more
+      // data here too.
+
+      getShapeUtils(shape).transform(
+        shape,
+        newShapeBounds,
+        initialShape,
+        initialShapeBounds,
+        initialBounds
+      )
     })
-
-    // switch (this.transformHandle) {
-    //   case TransformEdge.Top:
-    //   case TransformEdge.Left:
-    //   case TransformEdge.Right:
-    //   case TransformEdge.Bottom: {
-    //     for (let id in shapeBounds) {
-    //       const { ny, nmy, nh } = shapeBounds[id]
-    //       const minY = v.my + (v.y1 < v.y0 ? nmy : ny) * v.mh
-    //       const height = nh * v.mh
-
-    //       const shape = pages[currentPageId].shapes[id]
-
-    //       getShapeUtils(shape).transform(shape)
-    //     }
-    //   }
-    //   case TransformCorner.TopLeft:
-    //   case TransformCorner.TopRight:
-    //   case TransformCorner.BottomLeft:
-    //   case TransformCorner.BottomRight: {
-    //   }
-    // }
   }
 
   cancel(data: Data) {
-    const { currentPageId } = this.snapshot
-    const { document } = data
+    const {
+      shapeBounds,
+      initialBounds,
+      currentPageId,
+      selectedIds,
+    } = this.snapshot
 
-    // for (let id in shapes) {
-    // Restore shape using original bounds
-    // document.pages[currentPageId].shapes[id]
-    // }
+    const { shapes } = data.document.pages[currentPageId]
+
+    selectedIds.forEach((id) => {
+      const shape = shapes.shapes[id]
+      const { initialShape, initialShapeBounds } = shapeBounds[id]
+
+      getShapeUtils(shape).transform(
+        shape,
+        {
+          ...initialShapeBounds,
+          isFlippedX: false,
+          isFlippedY: false,
+        },
+        initialShape,
+        initialShapeBounds,
+        initialBounds
+      )
+    })
   }
 
   complete(data: Data) {
-    // commands.translate(data, this.snapshot, getTransformSnapshot(data))
+    commands.transform(data, this.snapshot, getTransformSnapshot(data))
   }
 }
 
@@ -172,21 +189,18 @@ export function getTransformSnapshot(data: Data) {
     currentPageId,
   } = current(data)
 
+  const pageShapes = pages[currentPageId].shapes
+
   // A mapping of selected shapes and their bounds
   const shapesBounds = Object.fromEntries(
     Array.from(selectedIds.values()).map((id) => {
-      const shape = pages[currentPageId].shapes[id]
+      const shape = pageShapes[id]
       return [shape.id, getShapeUtils(shape).getBounds(shape)]
     })
   )
 
   // The common (exterior) bounds of the selected shapes
-  const bounds = getCommonBounds(
-    ...Array.from(selectedIds.values()).map((id) => {
-      const shape = pages[currentPageId].shapes[id]
-      return getShapeUtils(shape).getBounds(shape)
-    })
-  )
+  const bounds = getCommonBounds(...Object.values(shapesBounds))
 
   // Return a mapping of shapes to bounds together with the relative
   // positions of the shape's bounds within the common bounds shape.
@@ -200,13 +214,16 @@ export function getTransformSnapshot(data: Data) {
         return [
           id,
           {
-            ...bounds,
-            nx: (minX - bounds.minX) / bounds.width,
-            ny: (minY - bounds.minY) / bounds.height,
-            nmx: 1 - (minX + width - bounds.minX) / bounds.width,
-            nmy: 1 - (minY + height - bounds.minY) / bounds.height,
-            nw: width / bounds.width,
-            nh: height / bounds.height,
+            initialShape: pageShapes[id],
+            initialShapeBounds: {
+              ...shapesBounds[id],
+              nx: (minX - bounds.minX) / bounds.width,
+              ny: (minY - bounds.minY) / bounds.height,
+              nmx: 1 - (minX + width - bounds.minX) / bounds.width,
+              nmy: 1 - (minY + height - bounds.minY) / bounds.height,
+              nw: width / bounds.width,
+              nh: height / bounds.height,
+            },
           },
         ]
       })
diff --git a/types.ts b/types.ts
index bc898e23f..7cd7849c1 100644
--- a/types.ts
+++ b/types.ts
@@ -65,12 +65,12 @@ export interface EllipseShape extends BaseShape {
 
 export interface LineShape extends BaseShape {
   type: ShapeType.Line
-  vector: number[]
+  direction: number[]
 }
 
 export interface RayShape extends BaseShape {
   type: ShapeType.Ray
-  vector: number[]
+  direction: number[]
 }
 
 export interface PolylineShape extends BaseShape {