diff --git a/lib/Matrix2D.js b/lib/Matrix2D.js
index 495ae008..4721ed7b 100644
--- a/lib/Matrix2D.js
+++ b/lib/Matrix2D.js
@@ -63,6 +63,11 @@ export function toArray() {
  * @param {Number} ty2
  **/
 export function append(a2, b2, c2, d2, tx2, ty2) {
+  const change = a2 !== 1 || b2 !== 0 || c2 !== 0 || d2 !== 1;
+  const translate = tx2 !== 0 || ty2 !== 0;
+  if (!change && !translate) {
+    return;
+  }
   if (hasInitialState) {
     hasInitialState = false;
     a = a2;
@@ -77,14 +82,16 @@ export function append(a2, b2, c2, d2, tx2, ty2) {
   const b1 = b;
   const c1 = c;
   const d1 = d;
-  if (a2 !== 1 || b2 !== 0 || c2 !== 0 || d2 !== 1) {
+  if (change) {
     a = a1 * a2 + c1 * b2;
     b = b1 * a2 + d1 * b2;
     c = a1 * c2 + c1 * d2;
     d = b1 * c2 + d1 * d2;
   }
-  tx = a1 * tx2 + c1 * ty2 + tx;
-  ty = b1 * tx2 + d1 * ty2 + ty;
+  if (translate) {
+    tx = a1 * tx2 + c1 * ty2 + tx;
+    ty = b1 * tx2 + d1 * ty2 + ty;
+  }
 }
 
 /**