diff --git a/app/os_macos.go b/app/os_macos.go
index a8df66b2..10734e8f 100644
--- a/app/os_macos.go
+++ b/app/os_macos.go
@@ -893,7 +893,7 @@ func gio_firstRectForCharacterRange(h C.uintptr_t, crng C.NSRange, actual C.NSRa
 	// Transform to NSView local coordinates (lower left origin, undo backing scale).
 	scale := 1. / float32(C.getViewBackingScale(w.view))
 	height := float32(C.viewHeight(w.view))
-	local := f32.Affine2D{}.Scale(f32.Pt(0, 0), f32.Pt(scale, -scale)).Offset(f32.Pt(0, height))
+	local := f32.AffineId().Scale(f32.Pt(0, 0), f32.Pt(scale, -scale)).Offset(f32.Pt(0, height))
 	t := local.Mul(sel.Transform)
 	bounds := f32.Rectangle{
 		Min: t.Transform(sel.Pos.Sub(f32.Pt(0, sel.Ascent))),
diff --git a/f32/affine.go b/f32/affine.go
index 6ac00d59..4934e4e1 100644
--- a/f32/affine.go
+++ b/f32/affine.go
@@ -30,6 +30,15 @@ func NewAffine2D(sx, hx, ox, hy, sy, oy float32) Affine2D {
 	}
 }
 
+// AffineId returns an identity transformation matrix that represents no transformation
+// when applied.
+func AffineId() Affine2D {
+	return NewAffine2D(
+		1, 0, 0,
+		0, 1, 0,
+	)
+}
+
 // Offset the transformation.
 func (a Affine2D) Offset(offset Point) Affine2D {
 	return Affine2D{
diff --git a/f32/affine_test.go b/f32/affine_test.go
index b572d237..010a3144 100644
--- a/f32/affine_test.go
+++ b/f32/affine_test.go
@@ -51,6 +51,9 @@ func TestString(t *testing.T) {
 		}, {
 			in:  NewAffine2D(29.142342, 31.4123412, 37.53152, 43.51324213, 47.123412, 53.14312342),
 			exp: "[[29.1423 31.4123 37.5315] [43.5132 47.1234 53.1431]]",
+		}, {
+			in:  AffineId(),
+			exp: "[[1 0 0] [0 1 0]]",
 		},
 	}
 	for _, test := range tests {
diff --git a/gpu/gpu.go b/gpu/gpu.go
index 3ea528af..4b8f674d 100644
--- a/gpu/gpu.go
+++ b/gpu/gpu.go
@@ -872,7 +872,7 @@ func (r *renderer) drawLayers(layers []opacityLayer, ops []imageOp) {
 		r.drawOps(true, l.clip.Min.Mul(-1), l.clip.Size(), ops[l.opStart:l.opEnd])
 		sr := f32.FRect(v)
 		uvScale, uvOffset := texSpaceTransform(sr, f.size)
-		uvTrans := f32.Affine2D{}.Scale(f32.Point{}, uvScale).Offset(uvOffset)
+		uvTrans := f32.AffineId().Scale(f32.Point{}, uvScale).Offset(uvOffset)
 		// Replace layer ops with one textured op.
 		ops[l.opStart] = imageOp{
 			clip: l.clip,
@@ -1196,7 +1196,7 @@ func (d *drawState) materialFor(rect f32.Rectangle, off f32.Point, partTrans f32
 		sr.Min.Y += float32(clip.Min.Y-dr.Min.Y) * sdy / dy
 		sr.Max.Y -= float32(dr.Max.Y-clip.Max.Y) * sdy / dy
 		uvScale, uvOffset := texSpaceTransform(sr, sz)
-		m.uvTrans = partTrans.Mul(f32.Affine2D{}.Scale(f32.Point{}, uvScale).Offset(uvOffset))
+		m.uvTrans = partTrans.Mul(f32.AffineId().Scale(f32.Point{}, uvScale).Offset(uvOffset))
 		m.data = d.image
 	}
 	return m
@@ -1371,7 +1371,7 @@ func gradientSpaceTransform(clip image.Rectangle, off f32.Point, stop1, stop2 f3
 
 	// TODO: optimize
 	zp := f32.Point{}
-	return f32.Affine2D{}.
+	return f32.AffineId().
 		Scale(zp, layout.FPt(clip.Size())).            // scale to pixel space
 		Offset(zp.Sub(off).Add(layout.FPt(clip.Min))). // offset to clip space
 		Offset(zp.Sub(stop1)).                         // offset to first stop point
diff --git a/gpu/internal/rendertest/bench_test.go b/gpu/internal/rendertest/bench_test.go
index f54732ca..5e4562df 100644
--- a/gpu/internal/rendertest/bench_test.go
+++ b/gpu/internal/rendertest/bench_test.go
@@ -88,7 +88,7 @@ func BenchmarkDrawUI(b *testing.B) {
 		resetOps(gtx)
 
 		off := float32(math.Mod(float64(i)/10, 10))
-		t := op.Affine(f32.Affine2D{}.Offset(f32.Pt(off, off))).Push(gtx.Ops)
+		t := op.Affine(f32.AffineId().Offset(f32.Pt(off, off))).Push(gtx.Ops)
 
 		drawCore(gtx, th)
 
@@ -110,7 +110,7 @@ func BenchmarkDrawUITransformed(b *testing.B) {
 		resetOps(gtx)
 
 		angle := float32(math.Mod(float64(i)/1000, 0.05))
-		a := f32.Affine2D{}.Shear(f32.Point{}, angle, angle).Rotate(f32.Point{}, angle)
+		a := f32.AffineId().Shear(f32.Point{}, angle, angle).Rotate(f32.Point{}, angle)
 		t := op.Affine(a).Push(gtx.Ops)
 
 		drawCore(gtx, th)
diff --git a/gpu/internal/rendertest/clip_test.go b/gpu/internal/rendertest/clip_test.go
index 37701e19..152fc7cd 100644
--- a/gpu/internal/rendertest/clip_test.go
+++ b/gpu/internal/rendertest/clip_test.go
@@ -299,7 +299,7 @@ func TestInstancedRects(t *testing.T) {
 		c := macro.Stop()
 
 		for range 2 {
-			op.Affine(f32.Affine2D{}.Rotate(f32.Pt(0, 0), .2)).Add(o)
+			op.Affine(f32.AffineId().Rotate(f32.Pt(0, 0), .2)).Add(o)
 			c.Add(o)
 			op.Offset(image.Pt(20, 20)).Add(o)
 		}
diff --git a/gpu/internal/rendertest/render_test.go b/gpu/internal/rendertest/render_test.go
index 4c60f658..18b9ad65 100644
--- a/gpu/internal/rendertest/render_test.go
+++ b/gpu/internal/rendertest/render_test.go
@@ -87,10 +87,10 @@ func TestNoClipFromPaint(t *testing.T) {
 	// ensure that a paint operation does not pollute the state
 	// by leaving any clip paths in place.
 	run(t, func(o *op.Ops) {
-		a := f32.Affine2D{}.Rotate(f32.Pt(20, 20), math.Pi/4)
+		a := f32.AffineId().Rotate(f32.Pt(20, 20), math.Pi/4)
 		defer op.Affine(a).Push(o).Pop()
 		paint.FillShape(o, red, clip.Rect(image.Rect(10, 10, 30, 30)).Op())
-		a = f32.Affine2D{}.Rotate(f32.Pt(20, 20), -math.Pi/4)
+		a = f32.AffineId().Rotate(f32.Pt(20, 20), -math.Pi/4)
 		defer op.Affine(a).Push(o).Pop()
 
 		paint.FillShape(o, black, clip.Rect(image.Rect(0, 0, 50, 50)).Op())
@@ -109,7 +109,7 @@ func TestDeferredPaint(t *testing.T) {
 		paint.PaintOp{}.Add(o)
 		cl.Pop()
 
-		t := op.Affine(f32.Affine2D{}.Offset(f32.Pt(20, 20))).Push(o)
+		t := op.Affine(f32.AffineId().Offset(f32.Pt(20, 20))).Push(o)
 		m := op.Record(o)
 		cl2 := clip.Rect(image.Rect(0, 0, 80, 80)).Op().Push(o)
 		paint.ColorOp{Color: color.NRGBA{A: 0x60, R: 0xff, G: 0xff}}.Add(o)
@@ -119,7 +119,7 @@ func TestDeferredPaint(t *testing.T) {
 		op.Defer(o, paintMacro)
 		t.Pop()
 
-		defer op.Affine(f32.Affine2D{}.Offset(f32.Pt(10, 10))).Push(o).Pop()
+		defer op.Affine(f32.AffineId().Offset(f32.Pt(10, 10))).Push(o).Pop()
 		defer clip.Rect(image.Rect(0, 0, 80, 80)).Op().Push(o).Pop()
 		paint.ColorOp{Color: color.NRGBA{A: 0x60, B: 0xff}}.Add(o)
 		paint.PaintOp{}.Add(o)
@@ -260,7 +260,7 @@ func TestLinearGradient(t *testing.T) {
 				Color2: g.To,
 			}.Add(ops)
 			cl := clip.RRect{Rect: gr.Round()}.Push(ops)
-			t1 := op.Affine(f32.Affine2D{}.Offset(pixelAligned.Min)).Push(ops)
+			t1 := op.Affine(f32.AffineId().Offset(pixelAligned.Min)).Push(ops)
 			t2 := scale(pixelAligned.Dx()/128, 1).Push(ops)
 			paint.PaintOp{}.Add(ops)
 			t2.Pop()
@@ -363,7 +363,7 @@ func TestImageRGBA_ScaleLinear(t *testing.T) {
 	run(t, func(o *op.Ops) {
 		w := newWindow(t, 128, 128)
 		defer clip.Rect{Max: image.Pt(128, 128)}.Push(o).Pop()
-		op.Affine(f32.Affine2D{}.Scale(f32.Point{}, f32.Pt(64, 64))).Add(o)
+		op.Affine(f32.AffineId().Scale(f32.Point{}, f32.Pt(64, 64))).Add(o)
 
 		im := image.NewRGBA(image.Rect(0, 0, 2, 2))
 		im.Set(0, 0, colornames.Red)
@@ -397,7 +397,7 @@ func TestImageRGBA_ScaleLinear(t *testing.T) {
 func TestImageRGBA_ScaleNearest(t *testing.T) {
 	run(t, func(o *op.Ops) {
 		w := newWindow(t, 128, 128)
-		op.Affine(f32.Affine2D{}.Scale(f32.Point{}, f32.Pt(64, 64))).Add(o)
+		op.Affine(f32.AffineId().Scale(f32.Point{}, f32.Pt(64, 64))).Add(o)
 
 		im := image.NewRGBA(image.Rect(0, 0, 2, 2))
 		im.Set(0, 0, colornames.Red)
diff --git a/gpu/internal/rendertest/transform_test.go b/gpu/internal/rendertest/transform_test.go
index 060fa42a..78852ec8 100644
--- a/gpu/internal/rendertest/transform_test.go
+++ b/gpu/internal/rendertest/transform_test.go
@@ -29,7 +29,7 @@ func TestPaintOffset(t *testing.T) {
 
 func TestPaintRotate(t *testing.T) {
 	run(t, func(o *op.Ops) {
-		a := f32.Affine2D{}.Rotate(f32.Pt(40, 40), -math.Pi/8)
+		a := f32.AffineId().Rotate(f32.Pt(40, 40), -math.Pi/8)
 		defer op.Affine(a).Push(o).Pop()
 		paint.FillShape(o, red, clip.Rect(image.Rect(20, 20, 60, 60)).Op())
 	}, func(r result) {
@@ -42,7 +42,7 @@ func TestPaintRotate(t *testing.T) {
 
 func TestPaintShear(t *testing.T) {
 	run(t, func(o *op.Ops) {
-		a := f32.Affine2D{}.Shear(f32.Point{}, math.Pi/4, 0)
+		a := f32.AffineId().Shear(f32.Point{}, math.Pi/4, 0)
 		defer op.Affine(a).Push(o).Pop()
 		paint.FillShape(o, red, clip.Rect(image.Rect(0, 0, 40, 40)).Op())
 	}, func(r result) {
@@ -79,7 +79,7 @@ func TestClipOffset(t *testing.T) {
 
 func TestClipScale(t *testing.T) {
 	run(t, func(o *op.Ops) {
-		a := f32.Affine2D{}.Scale(f32.Point{}, f32.Pt(2, 2)).Offset(f32.Pt(10, 10))
+		a := f32.AffineId().Scale(f32.Point{}, f32.Pt(2, 2)).Offset(f32.Pt(10, 10))
 		defer op.Affine(a).Push(o).Pop()
 		defer clip.RRect{Rect: image.Rect(10, 10, 20, 20)}.Push(o).Pop()
 		paint.FillShape(o, red, clip.Rect(image.Rect(0, 0, 1000, 1000)).Op())
@@ -93,7 +93,7 @@ func TestClipScale(t *testing.T) {
 
 func TestClipRotate(t *testing.T) {
 	run(t, func(o *op.Ops) {
-		defer op.Affine(f32.Affine2D{}.Rotate(f32.Pt(40, 40), -math.Pi/4)).Push(o).Pop()
+		defer op.Affine(f32.AffineId().Rotate(f32.Pt(40, 40), -math.Pi/4)).Push(o).Pop()
 		defer clip.RRect{Rect: image.Rect(30, 30, 50, 50)}.Push(o).Pop()
 		paint.FillShape(o, red, clip.Rect(image.Rect(0, 40, 100, 100)).Op())
 	}, func(r result) {
@@ -121,7 +121,7 @@ func TestOffsetScaleTexture(t *testing.T) {
 	run(t, func(o *op.Ops) {
 		defer op.Offset(image.Pt(15, 15)).Push(o).Pop()
 		squares.Add(o)
-		defer op.Affine(f32.Affine2D{}.Scale(f32.Point{}, f32.Pt(2, 1))).Push(o).Pop()
+		defer op.Affine(f32.AffineId().Scale(f32.Point{}, f32.Pt(2, 1))).Push(o).Pop()
 		defer scale(50.0/512, 50.0/512).Push(o).Pop()
 		paint.PaintOp{}.Add(o)
 	}, func(r result) {
@@ -133,7 +133,7 @@ func TestOffsetScaleTexture(t *testing.T) {
 func TestRotateTexture(t *testing.T) {
 	run(t, func(o *op.Ops) {
 		squares.Add(o)
-		a := f32.Affine2D{}.Offset(f32.Pt(30, 30)).Rotate(f32.Pt(40, 40), math.Pi/4)
+		a := f32.AffineId().Offset(f32.Pt(30, 30)).Rotate(f32.Pt(40, 40), math.Pi/4)
 		defer op.Affine(a).Push(o).Pop()
 		defer scale(20.0/512, 20.0/512).Push(o).Pop()
 		paint.PaintOp{}.Add(o)
@@ -146,10 +146,10 @@ func TestRotateTexture(t *testing.T) {
 func TestRotateClipTexture(t *testing.T) {
 	run(t, func(o *op.Ops) {
 		squares.Add(o)
-		a := f32.Affine2D{}.Rotate(f32.Pt(40, 40), math.Pi/8)
+		a := f32.AffineId().Rotate(f32.Pt(40, 40), math.Pi/8)
 		defer op.Affine(a).Push(o).Pop()
 		defer clip.RRect{Rect: image.Rect(30, 30, 50, 50)}.Push(o).Pop()
-		defer op.Affine(f32.Affine2D{}.Offset(f32.Pt(10, 10))).Push(o).Pop()
+		defer op.Affine(f32.AffineId().Offset(f32.Pt(10, 10))).Push(o).Pop()
 		defer scale(60.0/512, 60.0/512).Push(o).Pop()
 		paint.PaintOp{}.Add(o)
 	}, func(r result) {
@@ -168,7 +168,7 @@ func TestComplicatedTransform(t *testing.T) {
 
 		defer clip.RRect{Rect: image.Rect(0, 0, 100, 100), SE: 50, SW: 50, NW: 50, NE: 50}.Push(o).Pop()
 
-		a := f32.Affine2D{}.Shear(f32.Point{}, math.Pi/4, 0)
+		a := f32.AffineId().Shear(f32.Point{}, math.Pi/4, 0)
 		defer op.Affine(a).Push(o).Pop()
 		defer clip.RRect{Rect: image.Rect(0, 0, 50, 40)}.Push(o).Pop()
 
@@ -182,13 +182,13 @@ func TestComplicatedTransform(t *testing.T) {
 func TestTransformOrder(t *testing.T) {
 	// check the ordering of operations bot in affine and in gpu stack.
 	run(t, func(o *op.Ops) {
-		a := f32.Affine2D{}.Offset(f32.Pt(64, 64))
+		a := f32.AffineId().Offset(f32.Pt(64, 64))
 		defer op.Affine(a).Push(o).Pop()
 
-		b := f32.Affine2D{}.Scale(f32.Point{}, f32.Pt(8, 8))
+		b := f32.AffineId().Scale(f32.Point{}, f32.Pt(8, 8))
 		defer op.Affine(b).Push(o).Pop()
 
-		c := f32.Affine2D{}.Offset(f32.Pt(-10, -10)).Scale(f32.Point{}, f32.Pt(0.5, 0.5))
+		c := f32.AffineId().Offset(f32.Pt(-10, -10)).Scale(f32.Point{}, f32.Pt(0.5, 0.5))
 		defer op.Affine(c).Push(o).Pop()
 		paint.FillShape(o, red, clip.Rect(image.Rect(0, 0, 20, 20)).Op())
 	}, func(r result) {
diff --git a/gpu/internal/rendertest/util_test.go b/gpu/internal/rendertest/util_test.go
index a1388163..e11c5947 100644
--- a/gpu/internal/rendertest/util_test.go
+++ b/gpu/internal/rendertest/util_test.go
@@ -302,5 +302,5 @@ func newWindow(t testing.TB, width, height int) *headless.Window {
 }
 
 func scale(sx, sy float32) op.TransformOp {
-	return op.Affine(f32.Affine2D{}.Scale(f32.Point{}, f32.Pt(sx, sy)))
+	return op.Affine(f32.AffineId().Scale(f32.Point{}, f32.Pt(sx, sy)))
 }
diff --git a/internal/f32/f32.go b/internal/f32/f32.go
index 771b0988..f1da21df 100644
--- a/internal/f32/f32.go
+++ b/internal/f32/f32.go
@@ -19,6 +19,8 @@ type Affine2D = f32.Affine2D
 
 var NewAffine2D = f32.NewAffine2D
 
+var AffineId = f32.AffineId
+
 // A Rectangle contains the points (X, Y) where Min.X <= X < Max.X,
 // Min.Y <= Y < Max.Y.
 type Rectangle struct {
diff --git a/op/op.go b/op/op.go
index e4af8f6c..33ff3676 100644
--- a/op/op.go
+++ b/op/op.go
@@ -183,7 +183,7 @@ func (c CallOp) Add(o *Ops) {
 // Offset converts an offset to a TransformOp.
 func Offset(off image.Point) TransformOp {
 	offf := f32.Pt(float32(off.X), float32(off.Y))
-	return Affine(f32.Affine2D{}.Offset(offf))
+	return Affine(f32.AffineId().Offset(offf))
 }
 
 // Affine creates a TransformOp representing the transformation a.
diff --git a/text/gotext.go b/text/gotext.go
index be3f84d8..d7b35aee 100644
--- a/text/gotext.go
+++ b/text/gotext.go
@@ -767,7 +767,7 @@ func (s *shaperImpl) Bitmaps(ops *op.Ops, gs []Glyph) op.CallOp {
 				imgOp = bitmapData.img
 				imgSize = bitmapData.size
 			}
-			off := op.Affine(f32.Affine2D{}.Offset(f32.Point{
+			off := op.Affine(f32.AffineId().Offset(f32.Point{
 				X: fixedToFloat((g.X - x) - g.Offset.X),
 				Y: fixedToFloat(g.Offset.Y + g.Bounds.Min.Y),
 			})).Push(ops)
@@ -783,7 +783,7 @@ func (s *shaperImpl) Bitmaps(ops *op.Ops, gs []Glyph) op.CallOp {
 					Y: g.Bounds.Max.Y.Round(),
 				},
 			}.Size()
-			aff := op.Affine(f32.Affine2D{}.Scale(f32.Point{}, f32.Point{
+			aff := op.Affine(f32.AffineId().Scale(f32.Point{}, f32.Point{
 				X: float32(glyphSize.X) / float32(imgSize.X),
 				Y: float32(glyphSize.Y) / float32(imgSize.Y),
 			})).Push(ops)
diff --git a/widget/fit.go b/widget/fit.go
index 366704be..4b8599ea 100644
--- a/widget/fit.go
+++ b/widget/fit.go
@@ -39,7 +39,7 @@ func (fit Fit) scale(cs layout.Constraints, pos layout.Direction, dims layout.Di
 
 		offset := pos.Position(widgetSize, dims.Size)
 		dims.Baseline += offset.Y
-		return dims, f32.Affine2D{}.Offset(layout.FPt(offset))
+		return dims, f32.AffineId().Offset(layout.FPt(offset))
 	}
 
 	scale := f32.Point{
@@ -73,7 +73,7 @@ func (fit Fit) scale(cs layout.Constraints, pos layout.Direction, dims layout.Di
 
 			offset := pos.Position(widgetSize, dims.Size)
 			dims.Baseline += offset.Y
-			return dims, f32.Affine2D{}.Offset(layout.FPt(offset))
+			return dims, f32.AffineId().Offset(layout.FPt(offset))
 		}
 	case Fill:
 	}
@@ -85,7 +85,7 @@ func (fit Fit) scale(cs layout.Constraints, pos layout.Direction, dims layout.Di
 	dims.Baseline = int(float32(dims.Baseline) * scale.Y)
 
 	offset := pos.Position(scaledSize, dims.Size)
-	trans := f32.Affine2D{}.
+	trans := f32.AffineId().
 		Scale(f32.Point{}, scale).
 		Offset(layout.FPt(offset))
 
diff --git a/widget/image.go b/widget/image.go
index 5cc6f6b0..b9442956 100644
--- a/widget/image.go
+++ b/widget/image.go
@@ -44,7 +44,7 @@ func (im Image) Layout(gtx layout.Context) layout.Dimensions {
 	defer clip.Rect{Max: dims.Size}.Push(gtx.Ops).Pop()
 
 	pixelScale := scale * gtx.Metric.PxPerDp
-	trans = trans.Mul(f32.Affine2D{}.Scale(f32.Point{}, f32.Pt(pixelScale, pixelScale)))
+	trans = trans.Mul(f32.AffineId().Scale(f32.Point{}, f32.Pt(pixelScale, pixelScale)))
 	defer op.Affine(trans).Push(gtx.Ops).Pop()
 
 	im.Src.Add(gtx.Ops)
diff --git a/widget/label.go b/widget/label.go
index 8c375709..738f8ce2 100644
--- a/widget/label.go
+++ b/widget/label.go
@@ -210,7 +210,7 @@ func (it *textIterator) paintGlyph(gtx layout.Context, shaper *text.Shaper, glyp
 		line = append(line, glyph)
 	}
 	if glyph.Flags&text.FlagLineBreak != 0 || cap(line)-len(line) == 0 || !visibleOrBefore {
-		t := op.Affine(f32.Affine2D{}.Offset(it.lineOff)).Push(gtx.Ops)
+		t := op.Affine(f32.AffineId().Offset(it.lineOff)).Push(gtx.Ops)
 		path := shaper.Shape(line)
 		outline := clip.Outline{Path: path}.Op().Push(gtx.Ops)
 		it.material.Add(gtx.Ops)