diff --git a/src/ol/geom/linestring.exports b/src/ol/geom/linestring.exports
index f5c50bdf5c..f1f95ce7c1 100644
--- a/src/ol/geom/linestring.exports
+++ b/src/ol/geom/linestring.exports
@@ -1,4 +1,5 @@
 @exportSymbol ol.geom.LineString
+@exportProperty ol.geom.LineString.prototype.appendCoordinate
 @exportProperty ol.geom.LineString.prototype.clone
 @exportProperty ol.geom.LineString.prototype.getCoordinateAtM
 @exportProperty ol.geom.LineString.prototype.getCoordinates
diff --git a/src/ol/geom/linestring.js b/src/ol/geom/linestring.js
index 989c9c88bb..8ac6ec912e 100644
--- a/src/ol/geom/linestring.js
+++ b/src/ol/geom/linestring.js
@@ -1,5 +1,7 @@
 goog.provide('ol.geom.LineString');
 
+goog.require('goog.array');
+goog.require('goog.asserts');
 goog.require('ol.extent');
 goog.require('ol.geom.GeometryType');
 goog.require('ol.geom.SimpleGeometry');
@@ -50,6 +52,20 @@ ol.geom.LineString = function(coordinates, opt_layout) {
 goog.inherits(ol.geom.LineString, ol.geom.SimpleGeometry);
 
 
+/**
+ * @param {ol.Coordinate} coordinate Coordinate.
+ */
+ol.geom.LineString.prototype.appendCoordinate = function(coordinate) {
+  goog.asserts.assert(coordinate.length == this.stride);
+  if (goog.isNull(this.flatCoordinates)) {
+    this.flatCoordinates = coordinate.slice();
+  } else {
+    goog.array.extend(this.flatCoordinates, coordinate);
+  }
+  this.dispatchChangeEvent();
+};
+
+
 /**
  * @inheritDoc
  */
diff --git a/src/ol/geom/multilinestring.exports b/src/ol/geom/multilinestring.exports
index 23b3e5987e..9390428f2a 100644
--- a/src/ol/geom/multilinestring.exports
+++ b/src/ol/geom/multilinestring.exports
@@ -1,7 +1,9 @@
 @exportSymbol ol.geom.MultiLineString
+@exportProperty ol.geom.MultiLineString.prototype.appendLineString
 @exportProperty ol.geom.MultiLineString.prototype.clone
 @exportProperty ol.geom.MultiLineString.prototype.getCoordinateAtM
 @exportProperty ol.geom.MultiLineString.prototype.getCoordinates
+@exportProperty ol.geom.MultiLineString.prototype.getLineString
 @exportProperty ol.geom.MultiLineString.prototype.getLineStrings
 @exportProperty ol.geom.MultiLineString.prototype.getType
 @exportProperty ol.geom.MultiLineString.prototype.setCoordinates
diff --git a/src/ol/geom/multilinestring.js b/src/ol/geom/multilinestring.js
index b096e2fe65..816abef889 100644
--- a/src/ol/geom/multilinestring.js
+++ b/src/ol/geom/multilinestring.js
@@ -47,6 +47,22 @@ ol.geom.MultiLineString = function(coordinates, opt_layout) {
 goog.inherits(ol.geom.MultiLineString, ol.geom.SimpleGeometry);
 
 
+/**
+ * @param {ol.geom.LineString} lineString LineString.
+ */
+ol.geom.MultiLineString.prototype.appendLineString = function(lineString) {
+  goog.asserts.assert(lineString.getLayout() == this.layout);
+  if (goog.isNull(this.flatCoordinates)) {
+    this.flatCoordinates = lineString.getFlatCoordinates().slice();
+  } else {
+    goog.array.extend(
+        this.flatCoordinates, lineString.getFlatCoordinates().slice());
+  }
+  this.ends_.push(this.flatCoordinates.length);
+  this.dispatchChangeEvent();
+};
+
+
 /**
  * @inheritDoc
  */
@@ -131,17 +147,40 @@ ol.geom.MultiLineString.prototype.getEnds = function() {
 };
 
 
+/**
+ * @param {number} index Index.
+ * @return {ol.geom.LineString} LineString.
+ */
+ol.geom.MultiLineString.prototype.getLineString = function(index) {
+  goog.asserts.assert(0 <= index && index < this.ends_.length);
+  if (index < 0 || this.ends_.length <= index) {
+    return null;
+  }
+  var lineString = new ol.geom.LineString(null);
+  lineString.setFlatCoordinates(this.layout, this.flatCoordinates.slice(
+      index === 0 ? 0 : this.ends_[index - 1], this.ends_[index]));
+  return lineString;
+};
+
+
 /**
  * @return {Array.<ol.geom.LineString>} LineStrings.
  * @todo stability experimental
  */
 ol.geom.MultiLineString.prototype.getLineStrings = function() {
-  // FIXME we should construct the line strings from the flat coordinates
-  var coordinates = this.getCoordinates();
+  var flatCoordinates = this.flatCoordinates;
+  var ends = this.ends_;
+  var layout = this.layout;
+  /** @type {Array.<ol.geom.LineString>} */
   var lineStrings = [];
+  var offset = 0;
   var i, ii;
-  for (i = 0, ii = coordinates.length; i < ii; ++i) {
-    lineStrings.push(new ol.geom.LineString(coordinates[i]));
+  for (i = 0, ii = ends.length; i < ii; ++i) {
+    var end = ends[i];
+    var lineString = new ol.geom.LineString(null);
+    lineString.setFlatCoordinates(layout, flatCoordinates.slice(offset, end));
+    lineStrings.push(lineString);
+    offset = end;
   }
   return lineStrings;
 };
@@ -222,6 +261,13 @@ ol.geom.MultiLineString.prototype.setCoordinates =
  */
 ol.geom.MultiLineString.prototype.setFlatCoordinates =
     function(layout, flatCoordinates, ends) {
+  if (goog.isNull(flatCoordinates)) {
+    goog.asserts.assert(!goog.isNull(ends) && ends.length === 0);
+  } else if (ends.length === 0) {
+    goog.asserts.assert(flatCoordinates.length === 0);
+  } else {
+    goog.asserts.assert(flatCoordinates.length == ends[ends.length - 1]);
+  }
   this.setFlatCoordinatesInternal(layout, flatCoordinates);
   this.ends_ = ends;
   this.dispatchChangeEvent();
diff --git a/src/ol/geom/multipoint.exports b/src/ol/geom/multipoint.exports
index 97dff56f42..b00ddcae09 100644
--- a/src/ol/geom/multipoint.exports
+++ b/src/ol/geom/multipoint.exports
@@ -1,6 +1,8 @@
 @exportSymbol ol.geom.MultiPoint
+@exportProperty ol.geom.MultiPoint.prototype.appendPoint
 @exportProperty ol.geom.MultiPoint.prototype.clone
 @exportProperty ol.geom.MultiPoint.prototype.getCoordinates
+@exportProperty ol.geom.MultiPoint.prototype.getPoint
 @exportProperty ol.geom.MultiPoint.prototype.getPoints
 @exportProperty ol.geom.MultiPoint.prototype.getType
 @exportProperty ol.geom.MultiPoint.prototype.setCoordinates
diff --git a/src/ol/geom/multipoint.js b/src/ol/geom/multipoint.js
index ad1d767e7a..931761f350 100644
--- a/src/ol/geom/multipoint.js
+++ b/src/ol/geom/multipoint.js
@@ -1,5 +1,7 @@
 goog.provide('ol.geom.MultiPoint');
 
+goog.require('goog.array');
+goog.require('goog.asserts');
 goog.require('ol.extent');
 goog.require('ol.geom.GeometryType');
 goog.require('ol.geom.Point');
@@ -22,6 +24,20 @@ ol.geom.MultiPoint = function(coordinates, opt_layout) {
 goog.inherits(ol.geom.MultiPoint, ol.geom.SimpleGeometry);
 
 
+/**
+ * @param {ol.geom.Point} point Point.
+ */
+ol.geom.MultiPoint.prototype.appendPoint = function(point) {
+  goog.asserts.assert(point.getLayout() == this.layout);
+  if (goog.isNull(this.flatCoordinates)) {
+    this.flatCoordinates = point.getFlatCoordinates().slice();
+  } else {
+    goog.array.extend(this.flatCoordinates, point.getFlatCoordinates());
+  }
+  this.dispatchChangeEvent();
+};
+
+
 /**
  * @inheritDoc
  */
@@ -69,17 +85,39 @@ ol.geom.MultiPoint.prototype.getCoordinates = function() {
 };
 
 
+/**
+ * @param {number} index Index.
+ * @return {ol.geom.Point} Point.
+ */
+ol.geom.MultiPoint.prototype.getPoint = function(index) {
+  var n = goog.isNull(this.flatCoordinates) ?
+      0 : this.flatCoordinates.length / this.stride;
+  goog.asserts.assert(0 <= index && index < n);
+  if (index < 0 || n <= index) {
+    return null;
+  }
+  var point = new ol.geom.Point(null);
+  point.setFlatCoordinates(this.layout, this.flatCoordinates.slice(
+      index * this.stride, (index + 1) * this.stride));
+  return point;
+};
+
+
 /**
  * @return {Array.<ol.geom.Point>} Points.
  * @todo stability experimental
  */
 ol.geom.MultiPoint.prototype.getPoints = function() {
-  // FIXME we should construct the points from the flat coordinates
-  var coordinates = this.getCoordinates();
+  var flatCoordinates = this.flatCoordinates;
+  var layout = this.layout;
+  var stride = this.stride;
+  /** @type {Array.<ol.geom.Point>} */
   var points = [];
   var i, ii;
-  for (i = 0, ii = coordinates.length; i < ii; ++i) {
-    points.push(new ol.geom.Point(coordinates[i]));
+  for (i = 0, ii = flatCoordinates.length; i < ii; i += stride) {
+    var point = new ol.geom.Point(null);
+    point.setFlatCoordinates(layout, flatCoordinates.slice(i, i + stride));
+    points.push(point);
   }
   return points;
 };
diff --git a/src/ol/geom/multipolygon.exports b/src/ol/geom/multipolygon.exports
index 07d0d094b8..6f67842bc3 100644
--- a/src/ol/geom/multipolygon.exports
+++ b/src/ol/geom/multipolygon.exports
@@ -1,8 +1,10 @@
 @exportSymbol ol.geom.MultiPolygon
+@exportProperty ol.geom.MultiPolygon.prototype.appendPolygon
 @exportProperty ol.geom.MultiPolygon.prototype.clone
 @exportProperty ol.geom.MultiPolygon.prototype.getArea
 @exportProperty ol.geom.MultiPolygon.prototype.getCoordinates
 @exportProperty ol.geom.MultiPolygon.prototype.getInteriorPoints
+@exportProperty ol.geom.MultiPolygon.prototype.getPolygon
 @exportProperty ol.geom.MultiPolygon.prototype.getPolygons
 @exportProperty ol.geom.MultiPolygon.prototype.getType
 @exportProperty ol.geom.MultiPolygon.prototype.setCoordinates
diff --git a/src/ol/geom/multipolygon.js b/src/ol/geom/multipolygon.js
index 214398858a..acd04669da 100644
--- a/src/ol/geom/multipolygon.js
+++ b/src/ol/geom/multipolygon.js
@@ -72,6 +72,31 @@ ol.geom.MultiPolygon = function(coordinates, opt_layout) {
 goog.inherits(ol.geom.MultiPolygon, ol.geom.SimpleGeometry);
 
 
+/**
+ * @param {ol.geom.Polygon} polygon Polygon.
+ */
+ol.geom.MultiPolygon.prototype.appendPolygon = function(polygon) {
+  goog.asserts.assert(polygon.getLayout() == this.layout);
+  /** @type {Array.<number>} */
+  var ends;
+  if (goog.isNull(this.flatCoordinates)) {
+    this.flatCoordinates = polygon.getFlatCoordinates().slice();
+    ends = polygon.getEnds().slice();
+    this.endss_.push();
+  } else {
+    var offset = this.flatCoordinates.length;
+    goog.array.extend(this.flatCoordinates, polygon.getFlatCoordinates());
+    ends = polygon.getEnds().slice();
+    var i, ii;
+    for (i = 0, ii = ends.length; i < ii; ++i) {
+      ends[i] += offset;
+    }
+  }
+  this.endss_.push(ends);
+  this.dispatchChangeEvent();
+};
+
+
 /**
  * @inheritDoc
  */
@@ -205,6 +230,37 @@ ol.geom.MultiPolygon.prototype.getSimplifiedGeometryInternal =
 };
 
 
+/**
+ * @param {number} index Index.
+ * @return {ol.geom.Polygon} Polygon.
+ */
+ol.geom.MultiPolygon.prototype.getPolygon = function(index) {
+  goog.asserts.assert(0 <= index && index < this.endss_.length);
+  if (index < 0 || this.endss_.length <= index) {
+    return null;
+  }
+  var offset;
+  if (index === 0) {
+    offset = 0;
+  } else {
+    var prevEnds = this.endss_[index - 1];
+    offset = prevEnds[prevEnds.length - 1];
+  }
+  var ends = this.endss_[index].slice();
+  var end = ends[ends.length - 1];
+  if (offset !== 0) {
+    var i, ii;
+    for (i = 0, ii = ends.length; i < ii; ++i) {
+      ends[i] -= offset;
+    }
+  }
+  var polygon = new ol.geom.Polygon(null);
+  polygon.setFlatCoordinates(
+      this.layout, this.flatCoordinates.slice(offset, end), ends);
+  return polygon;
+};
+
+
 /**
  * @return {Array.<ol.geom.Polygon>} Polygons.
  * @todo stability experimental
@@ -217,17 +273,16 @@ ol.geom.MultiPolygon.prototype.getPolygons = function() {
   var offset = 0;
   var i, ii, j, jj;
   for (i = 0, ii = endss.length; i < ii; ++i) {
-    var ends = endss[i];
+    var ends = endss[i].slice();
     var end = ends[ends.length - 1];
-    var polygon = new ol.geom.Polygon(null);
-    var polygonEnds = ends.slice();
     if (offset !== 0) {
-      for (j = 0, jj = polygonEnds.length; j < jj; ++j) {
-        polygonEnds[j] = polygonEnds[j] - offset;
+      for (j = 0, jj = ends.length; j < jj; ++j) {
+        ends[j] -= offset;
       }
     }
+    var polygon = new ol.geom.Polygon(null);
     polygon.setFlatCoordinates(
-        layout, flatCoordinates.slice(offset, end), polygonEnds);
+        layout, flatCoordinates.slice(offset, end), ends);
     polygons.push(polygon);
     offset = end;
   }
@@ -274,6 +329,14 @@ ol.geom.MultiPolygon.prototype.setCoordinates =
  */
 ol.geom.MultiPolygon.prototype.setFlatCoordinates =
     function(layout, flatCoordinates, endss) {
+  goog.asserts.assert(!goog.isNull(endss));
+  if (goog.isNull(flatCoordinates) || flatCoordinates.length === 0) {
+    goog.asserts.assert(endss.length === 0);
+  } else {
+    goog.asserts.assert(endss.length > 0);
+    var ends = endss[endss.length - 1];
+    goog.asserts.assert(flatCoordinates.length == ends[ends.length - 1]);
+  }
   this.setFlatCoordinatesInternal(layout, flatCoordinates);
   this.endss_ = endss;
   this.dispatchChangeEvent();
diff --git a/src/ol/geom/polygon.exports b/src/ol/geom/polygon.exports
index 7500491823..214d5e02c6 100644
--- a/src/ol/geom/polygon.exports
+++ b/src/ol/geom/polygon.exports
@@ -1,8 +1,10 @@
 @exportSymbol ol.geom.Polygon
+@exportProperty ol.geom.Polygon.prototype.appendLinearRing
 @exportProperty ol.geom.Polygon.prototype.clone
 @exportProperty ol.geom.Polygon.prototype.getArea
 @exportProperty ol.geom.Polygon.prototype.getCoordinates
 @exportProperty ol.geom.Polygon.prototype.getInteriorPoint
+@exportProperty ol.geom.Polygon.prototype.getLinearRing
 @exportProperty ol.geom.Polygon.prototype.getLinearRings
 @exportProperty ol.geom.Polygon.prototype.getType
 @exportProperty ol.geom.Polygon.prototype.setCoordinates
diff --git a/src/ol/geom/polygon.js b/src/ol/geom/polygon.js
index 667a121e43..1cd2d1fd4e 100644
--- a/src/ol/geom/polygon.js
+++ b/src/ol/geom/polygon.js
@@ -1,5 +1,7 @@
 goog.provide('ol.geom.Polygon');
 
+goog.require('goog.array');
+goog.require('goog.asserts');
 goog.require('ol.extent');
 goog.require('ol.geom.GeometryType');
 goog.require('ol.geom.LinearRing');
@@ -70,6 +72,21 @@ ol.geom.Polygon = function(coordinates, opt_layout) {
 goog.inherits(ol.geom.Polygon, ol.geom.SimpleGeometry);
 
 
+/**
+ * @param {ol.geom.LinearRing} linearRing Linear ring.
+ */
+ol.geom.Polygon.prototype.appendLinearRing = function(linearRing) {
+  goog.asserts.assert(linearRing.getLayout() == this.layout);
+  if (goog.isNull(this.flatCoordinates)) {
+    this.flatCoordinates = linearRing.getFlatCoordinates().slice();
+  } else {
+    goog.array.extend(this.flatCoordinates, linearRing.getFlatCoordinates());
+  }
+  this.ends_.push(this.flatCoordinates.length);
+  this.dispatchChangeEvent();
+};
+
+
 /**
  * @inheritDoc
  */
@@ -161,6 +178,22 @@ ol.geom.Polygon.prototype.getInteriorPoint = function() {
 };
 
 
+/**
+ * @param {number} index Index.
+ * @return {ol.geom.LinearRing} Linear ring.
+ */
+ol.geom.Polygon.prototype.getLinearRing = function(index) {
+  goog.asserts.assert(0 <= index && index < this.ends_.length);
+  if (index < 0 || this.ends_.length <= index) {
+    return null;
+  }
+  var linearRing = new ol.geom.LinearRing(null);
+  linearRing.setFlatCoordinates(this.layout, this.flatCoordinates.slice(
+      index === 0 ? 0 : this.ends_[index - 1], this.ends_[index]));
+  return linearRing;
+};
+
+
 /**
  * @return {Array.<ol.geom.LinearRing>} Linear rings.
  * @todo stability experimental
@@ -257,6 +290,13 @@ ol.geom.Polygon.prototype.setCoordinates = function(coordinates, opt_layout) {
  */
 ol.geom.Polygon.prototype.setFlatCoordinates =
     function(layout, flatCoordinates, ends) {
+  if (goog.isNull(flatCoordinates)) {
+    goog.asserts.assert(!goog.isNull(ends) && ends.length === 0);
+  } else if (ends.length === 0) {
+    goog.asserts.assert(flatCoordinates.length === 0);
+  } else {
+    goog.asserts.assert(flatCoordinates.length == ends[ends.length - 1]);
+  }
   this.setFlatCoordinatesInternal(layout, flatCoordinates);
   this.ends_ = ends;
   this.dispatchChangeEvent();
diff --git a/test/spec/ol/geom/linestring.test.js b/test/spec/ol/geom/linestring.test.js
index a09ee352be..f4546bc59e 100644
--- a/test/spec/ol/geom/linestring.test.js
+++ b/test/spec/ol/geom/linestring.test.js
@@ -37,6 +37,13 @@ describe('ol.geom.LineString', function() {
       expect(lineString.getStride()).to.be(2);
     });
 
+    it('can append coordinates', function() {
+      lineString.appendCoordinate([1, 2]);
+      expect(lineString.getCoordinates()).to.eql([[1, 2]]);
+      lineString.appendCoordinate([3, 4]);
+      expect(lineString.getCoordinates()).to.eql([[1, 2], [3, 4]]);
+    });
+
   });
 
   describe('construct with 2D coordinates', function() {
diff --git a/test/spec/ol/geom/multilinestring.test.js b/test/spec/ol/geom/multilinestring.test.js
index 8fe2d205a0..76d18f9ec1 100644
--- a/test/spec/ol/geom/multilinestring.test.js
+++ b/test/spec/ol/geom/multilinestring.test.js
@@ -37,6 +37,17 @@ describe('ol.geom.MultiLineString', function() {
       expect(multiLineString.getStride()).to.be(2);
     });
 
+    it('can append line strings', function() {
+      multiLineString.appendLineString(
+          new ol.geom.LineString([[1, 2], [3, 4]]));
+      expect(multiLineString.getCoordinates()).to.eql(
+          [[[1, 2], [3, 4]]]);
+      multiLineString.appendLineString(
+          new ol.geom.LineString([[5, 6], [7, 8]]));
+      expect(multiLineString.getCoordinates()).to.eql(
+          [[[1, 2], [3, 4]], [[5, 6], [7, 8]]]);
+    });
+
   });
 
   describe('construct with 2D coordinates', function() {
@@ -142,6 +153,17 @@ describe('ol.geom.MultiLineString', function() {
       expect(multiLineString.getStride()).to.be(3);
     });
 
+    it('can return individual line strings', function() {
+      var lineString0 = multiLineString.getLineString(0);
+      expect(lineString0).to.be.an(ol.geom.LineString);
+      expect(lineString0.getLayout()).to.be(ol.geom.GeometryLayout.XYM);
+      expect(lineString0.getCoordinates()).to.eql([[1, 2, 3], [4, 5, 6]]);
+      var lineString1 = multiLineString.getLineString(1);
+      expect(lineString1).to.be.an(ol.geom.LineString);
+      expect(lineString1.getLayout()).to.be(ol.geom.GeometryLayout.XYM);
+      expect(lineString1.getCoordinates()).to.eql([[7, 8, 9], [10, 11, 12]]);
+    });
+
     describe('#getCoordinateAtM', function() {
 
       describe('with extrapolation and interpolation', function() {
diff --git a/test/spec/ol/geom/multipoint.test.js b/test/spec/ol/geom/multipoint.test.js
index 336b5558c9..26535273c6 100644
--- a/test/spec/ol/geom/multipoint.test.js
+++ b/test/spec/ol/geom/multipoint.test.js
@@ -37,6 +37,13 @@ describe('ol.geom.MultiPoint', function() {
       expect(multiPoint.getStride()).to.be(2);
     });
 
+    it('can append points', function() {
+      multiPoint.appendPoint(new ol.geom.Point([1, 2]));
+      expect(multiPoint.getCoordinates()).to.eql([[1, 2]]);
+      multiPoint.appendPoint(new ol.geom.Point([3, 4]));
+      expect(multiPoint.getCoordinates()).to.eql([[1, 2], [3, 4]]);
+    });
+
   });
 
   describe('construct with 2D coordinates', function() {
@@ -125,6 +132,26 @@ describe('ol.geom.MultiPoint', function() {
       expect(multiPoint.getStride()).to.be(3);
     });
 
+    it('can return individual points', function() {
+      var point0 = multiPoint.getPoint(0);
+      expect(point0.getLayout()).to.be(ol.geom.GeometryLayout.XYM);
+      expect(point0.getCoordinates()).to.eql([1, 2, 3]);
+      var point1 = multiPoint.getPoint(1);
+      expect(point1.getLayout()).to.be(ol.geom.GeometryLayout.XYM);
+      expect(point1.getCoordinates()).to.eql([4, 5, 6]);
+    });
+
+    it('can return all points', function() {
+      var points = multiPoint.getPoints();
+      expect(points).to.have.length(2);
+      expect(points[0]).to.be.an(ol.geom.Point);
+      expect(points[0].getLayout()).to.be(ol.geom.GeometryLayout.XYM);
+      expect(points[0].getCoordinates()).to.eql([1, 2, 3]);
+      expect(points[1]).to.be.an(ol.geom.Point);
+      expect(points[1].getLayout()).to.be(ol.geom.GeometryLayout.XYM);
+      expect(points[1].getCoordinates()).to.eql([4, 5, 6]);
+    });
+
   });
 
   describe('construct with 4D coordinates', function() {
@@ -170,3 +197,4 @@ describe('ol.geom.MultiPoint', function() {
 
 goog.require('ol.extent');
 goog.require('ol.geom.MultiPoint');
+goog.require('ol.geom.Point');
diff --git a/test/spec/ol/geom/multipolygon.test.js b/test/spec/ol/geom/multipolygon.test.js
index 564ff9e90d..03dad6ab5b 100644
--- a/test/spec/ol/geom/multipolygon.test.js
+++ b/test/spec/ol/geom/multipolygon.test.js
@@ -10,6 +10,28 @@ describe('ol.geom.MultiPolygon', function() {
     }).not.to.throwException();
   });
 
+  describe('with an empty MultiPolygon', function() {
+
+    var multiPolygon;
+    beforeEach(function() {
+      multiPolygon = new ol.geom.MultiPolygon(null);
+    });
+
+    it('can append polygons', function() {
+      multiPolygon.appendPolygon(
+          new ol.geom.Polygon([[[0, 0], [0, 2], [1, 1], [2, 0]]]));
+      expect(multiPolygon.getCoordinates()).to.eql(
+          [[[[0, 0], [0, 2], [1, 1], [2, 0]]]]);
+      multiPolygon.appendPolygon(
+          new ol.geom.Polygon([[[3, 0], [4, 1], [5, 2], [5, 0]]]));
+      expect(multiPolygon.getCoordinates()).to.eql([
+        [[[0, 0], [0, 2], [1, 1], [2, 0]]],
+        [[[3, 0], [4, 1], [5, 2], [5, 0]]]
+      ]);
+    });
+
+  });
+
   describe('with a simple MultiPolygon', function() {
 
     var multiPolygon;
@@ -20,6 +42,29 @@ describe('ol.geom.MultiPolygon', function() {
       ]);
     });
 
+    it('can return individual polygons', function() {
+      var polygon0 = multiPolygon.getPolygon(0);
+      expect(polygon0).to.be.an(ol.geom.Polygon);
+      expect(polygon0.getCoordinates()).to.eql(
+          [[[0, 0], [0, 2], [1, 1], [2, 0]]]);
+      var polygon1 = multiPolygon.getPolygon(1);
+      expect(polygon1).to.be.an(ol.geom.Polygon);
+      expect(polygon1.getCoordinates()).to.eql(
+          [[[3, 0], [4, 1], [5, 2], [5, 0]]]);
+    });
+
+    it('can return all polygons', function() {
+      var polygons = multiPolygon.getPolygons();
+      expect(polygons).to.be.an(Array);
+      expect(polygons).to.have.length(2);
+      expect(polygons[0]).to.be.an(ol.geom.Polygon);
+      expect(polygons[0].getCoordinates()).to.eql(
+          [[[0, 0], [0, 2], [1, 1], [2, 0]]]);
+      expect(polygons[1]).to.be.an(ol.geom.Polygon);
+      expect(polygons[1].getCoordinates()).to.eql(
+          [[[3, 0], [4, 1], [5, 2], [5, 0]]]);
+    });
+
     describe('#getSimplifiedGeometry', function() {
 
       it('returns the expected result', function() {
@@ -38,3 +83,4 @@ describe('ol.geom.MultiPolygon', function() {
 
 
 goog.require('ol.geom.MultiPolygon');
+goog.require('ol.geom.Polygon');
diff --git a/test/spec/ol/geom/polygon.test.js b/test/spec/ol/geom/polygon.test.js
index a245dc21ca..fd1254dcb5 100644
--- a/test/spec/ol/geom/polygon.test.js
+++ b/test/spec/ol/geom/polygon.test.js
@@ -37,6 +37,17 @@ describe('ol.geom.Polygon', function() {
       expect(polygon.getStride()).to.be(2);
     });
 
+    it('can append linear rings', function() {
+      polygon.appendLinearRing(
+          new ol.geom.LinearRing([[1, 2], [3, 4], [5, 6]]));
+      expect(polygon.getCoordinates()).to.eql(
+          [[[1, 2], [3, 4], [5, 6]]]);
+      polygon.appendLinearRing(
+          new ol.geom.LinearRing([[7, 8], [9, 10], [11, 12]]));
+      expect(polygon.getCoordinates()).to.eql(
+          [[[1, 2], [3, 4], [5, 6]], [[7, 8], [9, 10], [11, 12]]]);
+    });
+
   });
 
   describe('construct with 2D coordinates', function() {
@@ -73,6 +84,11 @@ describe('ol.geom.Polygon', function() {
       expect(polygon.getStride()).to.be(2);
     });
 
+    it('can return individual rings', function() {
+      expect(polygon.getLinearRing(0).getCoordinates()).to.eql(outerRing);
+      expect(polygon.getLinearRing(1).getCoordinates()).to.eql(innerRing);
+    });
+
     it('has the expected rings', function() {
       var linearRings = polygon.getLinearRings();
       expect(linearRings).to.be.an(Array);