diff --git a/impeller/aiks/aiks_unittests.cc b/impeller/aiks/aiks_unittests.cc
index 07fae56e3a32d..e29d40d8bc748 100644
--- a/impeller/aiks/aiks_unittests.cc
+++ b/impeller/aiks/aiks_unittests.cc
@@ -119,7 +119,7 @@ TEST_F(AiksTest, CanRenderGroupOpacity) {
   Paint alpha;
   alpha.color = Color::Red().WithAlpha(0.5);
 
-  canvas.SaveLayer(alpha);
+  // canvas.SaveLayer(alpha);
 
   canvas.DrawRect({000, 000, 100, 100}, red);
   canvas.DrawRect({020, 020, 100, 100}, green);
diff --git a/impeller/geometry/geometry_unittests.h b/impeller/geometry/geometry_unittests.h
index e247facd523e3..746df49df6075 100644
--- a/impeller/geometry/geometry_unittests.h
+++ b/impeller/geometry/geometry_unittests.h
@@ -11,49 +11,6 @@
 #include "impeller/geometry/size.h"
 #include "impeller/geometry/vector.h"
 
-namespace std {
-
-inline std::ostream& operator<<(std::ostream& out, const impeller::Matrix& m) {
-  out << "(";
-  for (size_t i = 0; i < 4u; i++) {
-    for (size_t j = 0; j < 4u; j++) {
-      out << m.e[i][j] << ",";
-    }
-    out << std::endl;
-  }
-  out << ")";
-  return out;
-}
-
-inline std::ostream& operator<<(std::ostream& out,
-                                const impeller::Quaternion& q) {
-  out << "(" << q.x << ", " << q.y << ", " << q.z << ", " << q.w << ")";
-  return out;
-}
-
-template <class T>
-inline std::ostream& operator<<(std::ostream& out,
-                                const impeller::TSize<T>& s) {
-  out << "(" << s.width << ", " << s.height << ")";
-  return out;
-}
-
-template <class T>
-inline std::ostream& operator<<(std::ostream& out,
-                                const impeller::TPoint<T>& p) {
-  out << "(" << p.x << ", " << p.y << ")";
-  return out;
-}
-
-template <class T>
-inline std::ostream& operator<<(std::ostream& out,
-                                const impeller::TRect<T>& r) {
-  out << "(" << r.origin << ", " << r.size << ")";
-  return out;
-}
-
-}  // namespace std
-
 inline bool NumberNear(double a, double b) {
   static const double epsilon = 1e-3;
   return (a > (b - epsilon)) && (a < (b + epsilon));
diff --git a/impeller/geometry/matrix.h b/impeller/geometry/matrix.h
index 3156a81009a7b..a52e5eeed0375 100644
--- a/impeller/geometry/matrix.h
+++ b/impeller/geometry/matrix.h
@@ -6,6 +6,7 @@
 
 #include <cmath>
 #include <optional>
+#include <ostream>
 #include <utility>
 
 #include "impeller/geometry/matrix_decomposition.h"
@@ -257,8 +258,8 @@ struct Matrix {
   static constexpr Matrix MakeOrthographic(TSize<T> size) {
     // Per assumptions about NDC documented above.
     const auto scale =
-        MakeScale({1.0f / static_cast<Scalar>(size.width),
-                   -1.0f / static_cast<Scalar>(size.height), 1.0});
+        MakeScale({2.0f / static_cast<Scalar>(size.width),
+                   -2.0f / static_cast<Scalar>(size.height), 1.0});
     const auto translate = MakeTranslation({-1.0, 1.0, 0.5});
     return translate * scale;
   }
@@ -275,3 +276,19 @@ inline Vector4 operator*(const Vector4& v, const Matrix& m) {
 }
 
 }  // namespace impeller
+
+namespace std {
+
+inline std::ostream& operator<<(std::ostream& out, const impeller::Matrix& m) {
+  out << "(";
+  for (size_t i = 0; i < 4u; i++) {
+    for (size_t j = 0; j < 4u; j++) {
+      out << m.e[i][j] << ",";
+    }
+    out << std::endl;
+  }
+  out << ")";
+  return out;
+}
+
+}  // namespace std
diff --git a/impeller/geometry/point.h b/impeller/geometry/point.h
index ba12338557c52..e84338796d5e2 100644
--- a/impeller/geometry/point.h
+++ b/impeller/geometry/point.h
@@ -6,6 +6,7 @@
 
 #include <algorithm>
 #include <cmath>
+#include <ostream>
 #include <string>
 
 #include "impeller/geometry/scalar.h"
@@ -113,3 +114,14 @@ using Point = TPoint<Scalar>;
 using IPoint = TPoint<int64_t>;
 
 }  // namespace impeller
+
+namespace std {
+
+template <class T>
+inline std::ostream& operator<<(std::ostream& out,
+                                const impeller::TPoint<T>& p) {
+  out << "(" << p.x << ", " << p.y << ")";
+  return out;
+}
+
+}  // namespace std
diff --git a/impeller/geometry/quaternion.cc b/impeller/geometry/quaternion.cc
index b00e350ed9691..2c5a75b286b53 100644
--- a/impeller/geometry/quaternion.cc
+++ b/impeller/geometry/quaternion.cc
@@ -27,11 +27,4 @@ Quaternion Quaternion::Slerp(const Quaternion& to, double time) const {
   }
 }
 
-std::string Quaternion::ToString() const {
-  std::stringstream stream;
-  stream << "{" << x << ", "
-         << ", " << y << ", " << z << ", " << w << "}";
-  return stream.str();
-}
-
 }  // namespace impeller
diff --git a/impeller/geometry/quaternion.h b/impeller/geometry/quaternion.h
index 00b9e0c1d904c..4985287000b71 100644
--- a/impeller/geometry/quaternion.h
+++ b/impeller/geometry/quaternion.h
@@ -4,7 +4,9 @@
 
 #pragma once
 
-#include "vector.h"
+#include <ostream>
+
+#include "impeller/geometry/vector.h"
 
 namespace impeller {
 
@@ -73,8 +75,16 @@ struct Quaternion {
   bool operator!=(const Quaternion& o) const {
     return x != o.x || y != o.y || z != o.z || w != o.w;
   }
-
-  std::string ToString() const;
 };
 
 }  // namespace impeller
+
+namespace std {
+
+inline std::ostream& operator<<(std::ostream& out,
+                                const impeller::Quaternion& q) {
+  out << "(" << q.x << ", " << q.y << ", " << q.z << ", " << q.w << ")";
+  return out;
+}
+
+}  // namespace std
diff --git a/impeller/geometry/rect.h b/impeller/geometry/rect.h
index 4fcd69d15abf4..c7477d806c9ee 100644
--- a/impeller/geometry/rect.h
+++ b/impeller/geometry/rect.h
@@ -4,6 +4,7 @@
 
 #pragma once
 
+#include <ostream>
 #include <vector>
 
 #include "impeller/geometry/point.h"
@@ -122,3 +123,14 @@ using Rect = TRect<Scalar>;
 using IRect = TRect<int64_t>;
 
 }  // namespace impeller
+
+namespace std {
+
+template <class T>
+inline std::ostream& operator<<(std::ostream& out,
+                                const impeller::TRect<T>& r) {
+  out << "(" << r.origin << ", " << r.size << ")";
+  return out;
+}
+
+}  // namespace std
diff --git a/impeller/geometry/size.h b/impeller/geometry/size.h
index 450f11b19a4de..11301eaa9d9a4 100644
--- a/impeller/geometry/size.h
+++ b/impeller/geometry/size.h
@@ -6,6 +6,7 @@
 
 #include <cmath>
 #include <limits>
+#include <ostream>
 #include <string>
 
 #include "impeller/geometry/scalar.h"
@@ -100,3 +101,14 @@ using ISize = TSize<int64_t>;
 static_assert(sizeof(Size) == 2 * sizeof(Scalar));
 
 }  // namespace impeller
+
+namespace std {
+
+template <class T>
+inline std::ostream& operator<<(std::ostream& out,
+                                const impeller::TSize<T>& s) {
+  out << "(" << s.width << ", " << s.height << ")";
+  return out;
+}
+
+}  // namespace std