diff --git a/Lib/fontTools/svgLib/path/__init__.py b/Lib/fontTools/svgLib/path/__init__.py
index 017ff57e6..5dd3329cf 100644
--- a/Lib/fontTools/svgLib/path/__init__.py
+++ b/Lib/fontTools/svgLib/path/__init__.py
@@ -55,6 +55,10 @@ class SVGPath(object):
         # xpath | doesn't seem to reliable work so just walk it
         for el in self.root.iter():
             pb.add_path_from_element(el)
-        for path in pb.paths:
+        original_pen = pen
+        for path, transform in zip(pb.paths, pb.transforms):
+            if transform:
+                pen = TransformPen(original_pen, transform)
+            else:
+                pen = original_pen
             parse_path(path, pen)
-
diff --git a/Lib/fontTools/svgLib/path/shapes.py b/Lib/fontTools/svgLib/path/shapes.py
index efbfc91a6..4cc633ada 100644
--- a/Lib/fontTools/svgLib/path/shapes.py
+++ b/Lib/fontTools/svgLib/path/shapes.py
@@ -1,3 +1,6 @@
+import re
+
+
 def _prefer_non_zero(*args):
     for arg in args:
         if arg != 0:
@@ -16,12 +19,28 @@ def _strip_xml_ns(tag):
     return tag.split('}', 1)[1] if '}' in tag else tag
 
 
+def _transform(raw_value):
+    # TODO assumes a 'matrix' transform.
+    # No other transform functions are supported at the moment.
+    # https://developer.mozilla.org/en-US/docs/Web/SVG/Attribute/transform
+    # start simple: if you aren't exactly matrix(...) then no love
+    match = re.match(r'matrix\((.*)\)', raw_value)
+    if not match:
+        raise NotImplementedError
+    matrix = tuple(float(p) for p in re.split(r'\s+|,', match.group(1)))
+    if len(matrix) != 6:
+        raise ValueError('wrong # of terms in %s' % raw_value)
+    return matrix
+
+
 class PathBuilder(object):
     def __init__(self):
         self.paths = []
+        self.transforms = []
 
     def _start_path(self, initial_path=''):
         self.paths.append(initial_path)
+        self.transforms.append(None)
 
     def _end_path(self):
         self._add('z')
@@ -68,6 +87,25 @@ class PathBuilder(object):
     def v(self, y):
         self._vhline('v', y)
 
+    def _line(self, c, x, y):
+        self._add('%s%s,%s' % (c, _ntos(x), _ntos(y)))
+
+    def L(self, x, y):
+        self._line('L', x, y)
+
+    def l(self, x, y):
+        self._line('l', x, y)
+
+    def _parse_line(self, line):
+        x1 = float(line.attrib.get('x1', 0))
+        y1 = float(line.attrib.get('y1', 0))
+        x2 = float(line.attrib.get('x2', 0))
+        y2 = float(line.attrib.get('y2', 0))
+
+        self._start_path()
+        self.M(x1, y1)
+        self.L(x2, y2)
+
     def _parse_rect(self, rect):
         x = float(rect.attrib.get('x', 0))
         y = float(rect.attrib.get('y', 0))
@@ -105,6 +143,10 @@ class PathBuilder(object):
             self._start_path('M' + poly.attrib['points'])
             self._end_path()
 
+    def _parse_polyline(self, poly):
+        if 'points' in poly.attrib:
+            self._start_path('M' + poly.attrib['points'])
+
     def _parse_circle(self, circle):
         cx = float(circle.attrib.get('cx', 0))
         cy = float(circle.attrib.get('cy', 0))
@@ -134,4 +176,6 @@ class PathBuilder(object):
         if not callable(parse_fn):
             return False
         parse_fn(el)
+        if 'transform' in el.attrib:
+            self.transforms[-1] = _transform(el.attrib['transform'])
         return True
diff --git a/Tests/svgLib/path/shapes_test.py b/Tests/svgLib/path/shapes_test.py
index 6202d60f6..99c70fdbe 100644
--- a/Tests/svgLib/path/shapes_test.py
+++ b/Tests/svgLib/path/shapes_test.py
@@ -7,71 +7,127 @@ import pytest
 
 
 @pytest.mark.parametrize(
-    "svg_xml, expected_path",
+    "svg_xml, expected_path, expected_transform",
     [
         # path: direct passthrough
         (
-          "<path d='I love kittens'/>",
-          "I love kittens"
+            "<path d='I love kittens'/>",
+            "I love kittens",
+            None
         ),
         # path no @d
         (
-          "<path duck='Mallard'/>",
-          None
+            "<path duck='Mallard'/>",
+            None,
+            None
+        ),
+        # line
+        (
+            '<line x1="10" x2="50" y1="110" y2="150"/>',
+            'M10,110 L50,150',
+            None
+        ),
+        # line, decimal positioning
+        (
+            '<line x1="10.0" x2="50.5" y1="110.2" y2="150.7"/>',
+            'M10,110.2 L50.5,150.7',
+            None
         ),
         # rect: minimal valid example
         (
             "<rect width='1' height='1'/>",
             "M0,0 H1 V1 H0 V0 z",
+            None
         ),
         # rect: sharp corners
         (
             "<rect x='10' y='11' width='17' height='11'/>",
             "M10,11 H27 V22 H10 V11 z",
+            None
         ),
         # rect: round corners
         (
             "<rect x='9' y='9' width='11' height='7' rx='2'/>",
             "M11,9 H18 A2,2 0 0 1 20,11 V14 A2,2 0 0 1 18,16 H11"
             " A2,2 0 0 1 9,14 V11 A2,2 0 0 1 11,9 z",
+            None
+        ),
+        # rect: simple
+        (
+            "<rect x='11.5' y='16' width='11' height='2'/>",
+            "M11.5,16 H22.5 V18 H11.5 V16 z",
+            None
+        ),
+        # rect: the one above plus a rotation
+        (
+            "<rect x='11.5' y='16' transform='matrix(0.7071 -0.7071 0.7071 0.7071 -7.0416 16.9999)' width='11' height='2'/>",
+            "M11.5,16 H22.5 V18 H11.5 V16 z",
+            (0.7071, -0.7071, 0.7071, 0.7071, -7.0416, 16.9999)
         ),
         # polygon
         (
             "<polygon points='30,10 50,30 10,30'/>",
-            "M30,10 50,30 10,30 z"
+            "M30,10 50,30 10,30 z",
+            None
+        ),
+        # polyline
+        (
+            "<polyline points='30,10 50,30 10,30'/>",
+            "M30,10 50,30 10,30",
+            None
         ),
         # circle, minimal valid example
         (
             "<circle r='1'/>",
-            "M-1,0 A1,1 0 1 1 1,0 A1,1 0 1 1 -1,0"
+            "M-1,0 A1,1 0 1 1 1,0 A1,1 0 1 1 -1,0",
+            None
         ),
         # circle
         (
             "<circle cx='600' cy='200' r='100'/>",
-            "M500,200 A100,100 0 1 1 700,200 A100,100 0 1 1 500,200"
+            "M500,200 A100,100 0 1 1 700,200 A100,100 0 1 1 500,200",
+            None
         ),
         # circle, decimal positioning
         (
             "<circle cx='12' cy='6.5' r='1.5'></circle>",
-            "M10.5,6.5 A1.5,1.5 0 1 1 13.5,6.5 A1.5,1.5 0 1 1 10.5,6.5"
+            "M10.5,6.5 A1.5,1.5 0 1 1 13.5,6.5 A1.5,1.5 0 1 1 10.5,6.5",
+            None
+        ),
+        # circle, with transform
+        (
+            '<circle transform="matrix(0.9871 -0.1602 0.1602 0.9871 -7.525 8.6516)" cx="49.9" cy="51" r="14.3"/>',
+            'M35.6,51 A14.3,14.3 0 1 1 64.2,51 A14.3,14.3 0 1 1 35.6,51',
+            (0.9871, -0.1602, 0.1602, 0.9871, -7.525, 8.6516)
         ),
         # ellipse
         (
             '<ellipse cx="100" cy="50" rx="100" ry="50"/>',
-            'M0,50 A100,50 0 1 1 200,50 A100,50 0 1 1 0,50'
+            'M0,50 A100,50 0 1 1 200,50 A100,50 0 1 1 0,50',
+            None
         ),
         # ellipse, decimal positioning
         (
             '<ellipse cx="100.5" cy="50" rx="10" ry="50.5"/>',
-            'M90.5,50 A10,50.5 0 1 1 110.5,50 A10,50.5 0 1 1 90.5,50'
+            'M90.5,50 A10,50.5 0 1 1 110.5,50 A10,50.5 0 1 1 90.5,50',
+            None
+        ),
+        # ellipse, with transform
+        (
+            '<ellipse transform="matrix(0.9557 -0.2945 0.2945 0.9557 -14.7694 20.1454)" cx="59.5" cy="59.1" rx="30.9" ry="11.9"/>',
+            'M28.6,59.1 A30.9,11.9 0 1 1 90.4,59.1 A30.9,11.9 0 1 1 28.6,59.1',
+            (0.9557, -0.2945, 0.2945, 0.9557, -14.7694, 20.1454)
         ),
     ]
 )
-def test_el_to_path(svg_xml, expected_path):
+def test_el_to_path(svg_xml, expected_path, expected_transform):
     pb = shapes.PathBuilder()
     pb.add_path_from_element(etree.fromstring(svg_xml))
     if expected_path:
-        expected = [expected_path]
+        expected_paths = [expected_path]
+        expected_transforms = [expected_transform]
     else:
-        expected = []
-    assert pb.paths == expected
+        expected_paths = []
+        expected_transforms = []
+    assert pb.paths == expected_paths
+    assert pb.transforms == expected_transforms