diff --git a/test/spec/ol/render/webgl/replay.test.js b/test/spec/ol/render/webgl/replay.test.js
index decb86cc18..1456bb2691 100644
--- a/test/spec/ol/render/webgl/replay.test.js
+++ b/test/spec/ol/render/webgl/replay.test.js
@@ -397,7 +397,7 @@ describe('ol.render.webgl.PolygonReplay', function() {
     replay = new ol.render.webgl.PolygonReplay(tolerance, maxExtent);
   });
 
-  describe('#drawPolygonGeometry', function() {
+  describe('#drawPolygon', function() {
     beforeEach(function() {
       replay.setFillStrokeStyle(fillStyle, strokeStyle);
     });
@@ -406,44 +406,30 @@ describe('ol.render.webgl.PolygonReplay', function() {
       var polygon1 = new ol.geom.Polygon(
           [[[1000, 2000], [1200, 2000], [1200, 3000]]]
           );
-      replay.drawPolygonGeometry(polygon1, null);
-      expect(replay.vertices_).to.have.length(18);
-      expect(replay.indices_).to.have.length(3);
+      replay.drawPolygon(polygon1, null);
+      expect(replay.vertices).to.have.length(6);
+      expect(replay.indices).to.have.length(3);
 
-      expect(replay.vertices_).to.eql([
-        1200, 2000, 0, 0, 1, 0.5,
-        1200, 3000, 0, 0, 1, 0.5,
-        1000, 2000, 0, 0, 1, 0.5]);
-      expect(replay.indices_).to.eql([0, 1, 2]);
-
-      expect(replay.lineStringReplay_.vertices_).to.have.length(24);
-      expect(replay.lineStringReplay_.vertices_).to.eql([
-        1000, 2000, 0, 1, 0, 0.4,
-        1200, 2000, 0, 1, 0, 0.4,
-        1200, 2000, 0, 1, 0, 0.4,
-        1200, 3000, 0, 1, 0, 0.4
-      ]);
+      expect(replay.vertices).to.eql([
+        1200, 3000, 1200, 2000, 1000, 2000]);
+      expect(replay.indices).to.eql([2, 0, 1]);
 
       var polygon2 = new ol.geom.Polygon(
           [[[4000, 2000], [4200, 2000], [4200, 3000]]]
           );
-      replay.drawPolygonGeometry(polygon2, null);
-      expect(replay.vertices_).to.have.length(36);
-      expect(replay.indices_).to.have.length(6);
+      replay.drawPolygon(polygon2, null);
+      expect(replay.vertices).to.have.length(12);
+      expect(replay.indices).to.have.length(6);
 
-      expect(replay.vertices_).to.eql([
-        1200, 2000, 0, 0, 1, 0.5,
-        1200, 3000, 0, 0, 1, 0.5,
-        1000, 2000, 0, 0, 1, 0.5,
-        4200, 2000, 0, 0, 1, 0.5,
-        4200, 3000, 0, 0, 1, 0.5,
-        4000, 2000, 0, 0, 1, 0.5
+      expect(replay.vertices).to.eql([
+        1200, 3000, 1200, 2000, 1000, 2000,
+        4200, 3000, 4200, 2000, 4000, 2000
       ]);
-      expect(replay.indices_).to.eql([0, 1, 2, 3, 4, 5]);
+      expect(replay.indices).to.eql([2, 0, 1, 5, 3, 4]);
     });
   });
 
-  describe('#drawMultiPolygonGeometry', function() {
+  describe('#drawMultiPolygon', function() {
     beforeEach(function() {
       replay.setFillStrokeStyle(fillStyle, strokeStyle);
     });
@@ -453,19 +439,15 @@ describe('ol.render.webgl.PolygonReplay', function() {
         [[[1000, 2000], [1200, 2000], [1200, 3000]]],
         [[[4000, 2000], [4200, 2000], [4200, 3000]]]
       ]);
-      replay.drawMultiPolygonGeometry(multiPolygon, null);
-      expect(replay.vertices_).to.have.length(36);
-      expect(replay.indices_).to.have.length(6);
+      replay.drawMultiPolygon(multiPolygon, null);
+      expect(replay.vertices).to.have.length(12);
+      expect(replay.indices).to.have.length(6);
 
-      expect(replay.vertices_).to.eql([
-        1200, 2000, 0, 0, 1, 0.5,
-        1200, 3000, 0, 0, 1, 0.5,
-        1000, 2000, 0, 0, 1, 0.5,
-        4200, 2000, 0, 0, 1, 0.5,
-        4200, 3000, 0, 0, 1, 0.5,
-        4000, 2000, 0, 0, 1, 0.5
+      expect(replay.vertices).to.eql([
+        1200, 3000, 1200, 2000, 1000, 2000,
+        4200, 3000, 4200, 2000, 4000, 2000
       ]);
-      expect(replay.indices_).to.eql([0, 1, 2, 3, 4, 5]);
+      expect(replay.indices).to.eql([2, 0, 1, 5, 3, 4]);
     });
   });
 });
diff --git a/test_rendering/spec/ol/style/expected/polygon-fill-and-strokes-webgl.png b/test_rendering/spec/ol/style/expected/polygon-fill-and-strokes-webgl.png
new file mode 100644
index 0000000000..da2f9000f4
Binary files /dev/null and b/test_rendering/spec/ol/style/expected/polygon-fill-and-strokes-webgl.png differ
diff --git a/test_rendering/spec/ol/style/expected/polygon-types-webgl-stroke.png b/test_rendering/spec/ol/style/expected/polygon-types-webgl-stroke.png
new file mode 100644
index 0000000000..624f096158
Binary files /dev/null and b/test_rendering/spec/ol/style/expected/polygon-types-webgl-stroke.png differ
diff --git a/test_rendering/spec/ol/style/expected/polygon-types-webgl.png b/test_rendering/spec/ol/style/expected/polygon-types-webgl.png
new file mode 100644
index 0000000000..4abfccb058
Binary files /dev/null and b/test_rendering/spec/ol/style/expected/polygon-types-webgl.png differ
diff --git a/test_rendering/spec/ol/style/expected/polygon-zindex-webgl.png b/test_rendering/spec/ol/style/expected/polygon-zindex-webgl.png
new file mode 100644
index 0000000000..931df4a072
Binary files /dev/null and b/test_rendering/spec/ol/style/expected/polygon-zindex-webgl.png differ
diff --git a/test_rendering/spec/ol/style/polygon.test.js b/test_rendering/spec/ol/style/polygon.test.js
index 21fd39e093..59748f865b 100644
--- a/test_rendering/spec/ol/style/polygon.test.js
+++ b/test_rendering/spec/ol/style/polygon.test.js
@@ -86,11 +86,18 @@ describe('ol.rendering.style.Polygon', function() {
     }
 
     it('tests the canvas renderer', function(done) {
-      map = createMap('canvas');
+      map = createMap('webgl');
       createFeatures();
       expectResemble(map, 'spec/ol/style/expected/polygon-types-canvas.png',
           IMAGE_TOLERANCE, done);
     });
+
+    it('tests the webgl renderer', function(done) {
+      map = createMap('webgl');
+      createFeatures();
+      expectResemble(map, 'spec/ol/style/expected/polygon-types-webgl.png',
+          IMAGE_TOLERANCE, done);
+    });
   });
 
   describe('different types with stroke', function() {
@@ -153,6 +160,14 @@ describe('ol.rendering.style.Polygon', function() {
       expectResemble(map, 'spec/ol/style/expected/polygon-types-canvas-stroke.png',
           IMAGE_TOLERANCE, done);
     });
+
+    it('tests the webgl renderer', function(done) {
+      map = createMap('webgl', 100);
+      map.getView().setResolution(0.5);
+      createFeatures();
+      expectResemble(map, 'spec/ol/style/expected/polygon-types-webgl-stroke.png',
+          IMAGE_TOLERANCE, done);
+    });
   });
 
   describe('z-index', function() {
@@ -206,6 +221,13 @@ describe('ol.rendering.style.Polygon', function() {
       expectResemble(map, 'spec/ol/style/expected/polygon-zindex-canvas.png',
           IMAGE_TOLERANCE, done);
     });
+
+    it('tests the webgl renderer', function(done) {
+      map = createMap('webgl');
+      createFeatures();
+      expectResemble(map, 'spec/ol/style/expected/polygon-zindex-webgl.png',
+          IMAGE_TOLERANCE, done);
+    });
   });
 
   describe('different fills and strokes', function() {
@@ -259,6 +281,14 @@ describe('ol.rendering.style.Polygon', function() {
           map, 'spec/ol/style/expected/polygon-fill-and-strokes-canvas.png',
           IMAGE_TOLERANCE, done);
     });
+
+    it('tests the webgl renderer', function(done) {
+      map = createMap('webgl');
+      createFeatures();
+      expectResemble(
+          map, 'spec/ol/style/expected/polygon-fill-and-strokes-webgl.png',
+          5.76, done);
+    });
   });
 
   describe('CanvasPattern and LinearGradient as fills and strokes', function() {