diff --git a/closure/goog/math/coordinate.js b/closure/goog/math/coordinate.js
index a08b9cb841..0dc2469457 100644
--- a/closure/goog/math/coordinate.js
+++ b/closure/goog/math/coordinate.js
@@ -66,6 +66,17 @@ if (goog.DEBUG) {
 }
 
 
+/**
+ * Returns whether the specified value is equal to this coordinate.
+ * @param {*} other Some other value.
+ * @return {boolean} Whether the specified value is equal to this coordinate.
+ */
+goog.math.Coordinate.prototype.equals = function(other) {
+  return other instanceof goog.math.Coordinate &&
+      goog.math.Coordinate.equals(this, other);
+};
+
+
 /**
  * Compares coordinates for equality.
  * @param {goog.math.Coordinate} a A Coordinate.
diff --git a/closure/goog/math/coordinate_test.js b/closure/goog/math/coordinate_test.js
index fdd04d6645..e71537b689 100644
--- a/closure/goog/math/coordinate_test.js
+++ b/closure/goog/math/coordinate_test.js
@@ -83,6 +83,18 @@ function testCoordinateClone() {
   assertEquals(c.toString(), c.clone().toString());
 }
 
+function testCoordinateEquals() {
+  var a = new goog.math.Coordinate(1, 2);
+
+  assertFalse(a.equals(null));
+  assertFalse(a.equals({}));
+  assertFalse(a.equals(new goog.math.Coordinate(1, 3)));
+  assertFalse(a.equals(new goog.math.Coordinate(2, 2)));
+
+  assertTrue(a.equals(a));
+  assertTrue(a.equals(new goog.math.Coordinate(1, 2)));
+}
+
 function testCoordinateDifference() {
   assertObjectEquals(
       new goog.math.Coordinate(3, -40),
diff --git a/closure/goog/math/vec2.js b/closure/goog/math/vec2.js
index 2d0784decc..a1e7b4ffe1 100644
--- a/closure/goog/math/vec2.js
+++ b/closure/goog/math/vec2.js
@@ -199,14 +199,12 @@ goog.math.Vec2.rotateAroundPoint = function(v, axisPoint, angle) {
 };
 
 
-/**
- * Compares this vector with another for equality.
- * @param {!goog.math.Vec2} b The other vector.
- * @return {boolean} Whether this vector has the same x and y as the given
- *     vector.
- */
+/** @override */
 goog.math.Vec2.prototype.equals = function(b) {
-  return this == b || !!b && this.x == b.x && this.y == b.y;
+  if (this == b) {
+    return true;
+  }
+  return b instanceof goog.math.Vec2 && !!b && this.x == b.x && this.y == b.y;
 };
 
 
diff --git a/closure/goog/math/vec2_test.js b/closure/goog/math/vec2_test.js
index f8418cdf31..63ed34efc7 100644
--- a/closure/goog/math/vec2_test.js
+++ b/closure/goog/math/vec2_test.js
@@ -141,6 +141,7 @@ function testEquals() {
   var a = new goog.math.Vec2(1, 2);
 
   assertFalse(a.equals(null));
+  assertFalse(a.equals({}));
   assertFalse(a.equals(new goog.math.Vec2(1, 3)));
   assertFalse(a.equals(new goog.math.Vec2(2, 2)));