diff --git a/lib/matplotlib/tests/baseline_images/test_offsetbox/paddedbox.png b/lib/matplotlib/tests/baseline_images/test_offsetbox/paddedbox.png
new file mode 100644
index 000000000000..dfb68e2c35a1
Binary files /dev/null and b/lib/matplotlib/tests/baseline_images/test_offsetbox/paddedbox.png differ
diff --git a/lib/matplotlib/tests/test_offsetbox.py b/lib/matplotlib/tests/test_offsetbox.py
index a0116d5dfcd9..cd57122272df 100644
--- a/lib/matplotlib/tests/test_offsetbox.py
+++ b/lib/matplotlib/tests/test_offsetbox.py
@@ -5,15 +5,15 @@
 from numpy.testing import assert_allclose
 import pytest
 
-from matplotlib.testing.decorators import image_comparison
+from matplotlib.testing.decorators import check_figures_equal, image_comparison
 import matplotlib.pyplot as plt
 import matplotlib.patches as mpatches
 import matplotlib.lines as mlines
 from matplotlib.backend_bases import MouseButton, MouseEvent
 
 from matplotlib.offsetbox import (
-    AnchoredOffsetbox, AnnotationBbox, AnchoredText, DrawingArea, OffsetBox,
-    OffsetImage, PaddedBox, TextArea, _get_packed_offsets, HPacker, VPacker)
+    AnchoredOffsetbox, AnnotationBbox, AnchoredText, DrawingArea, HPacker,
+    OffsetBox, OffsetImage, PaddedBox, TextArea, VPacker, _get_packed_offsets)
 
 
 @image_comparison(['offsetbox_clipping'], remove_text=True)
@@ -28,6 +28,7 @@ def test_offsetbox_clipping():
     fig, ax = plt.subplots()
     size = 100
     da = DrawingArea(size, size, clip=True)
+    assert da.clip_children
     bg = mpatches.Rectangle((0, 0), size, size,
                             facecolor='#CCCCCC',
                             edgecolor='None',
@@ -386,10 +387,66 @@ def test_packers(align):
                     [(px + x_height, py), (px, py - y2)])
 
 
-def test_paddedbox():
+def test_paddedbox_default_values():
     # smoke test paddedbox for correct default value
     fig, ax = plt.subplots()
     at = AnchoredText("foo",  'upper left')
     pb = PaddedBox(at, patch_attrs={'facecolor': 'r'}, draw_frame=True)
     ax.add_artist(pb)
     fig.draw_without_rendering()
+
+
+def test_annotationbbox_properties():
+    ab = AnnotationBbox(DrawingArea(20, 20, 0, 0, clip=True), (0.5, 0.5),
+                        xycoords='data')
+    assert ab.xyann == (0.5, 0.5)  # xy if xybox not given
+    assert ab.anncoords == 'data'  # xycoords if boxcoords not given
+
+    ab = AnnotationBbox(DrawingArea(20, 20, 0, 0, clip=True), (0.5, 0.5),
+                        xybox=(-0.2, 0.4), xycoords='data',
+                        boxcoords='axes fraction')
+    assert ab.xyann == (-0.2, 0.4)  # xybox if given
+    assert ab.anncoords == 'axes fraction'  # boxcoords if given
+
+
+def test_textarea_properties():
+    ta = TextArea('Foo')
+    assert ta.get_text() == 'Foo'
+    assert not ta.get_multilinebaseline()
+
+    ta.set_text('Bar')
+    ta.set_multilinebaseline(True)
+    assert ta.get_text() == 'Bar'
+    assert ta.get_multilinebaseline()
+
+
+@check_figures_equal()
+def test_textarea_set_text(fig_test, fig_ref):
+    ax_ref = fig_ref.add_subplot()
+    text0 = AnchoredText("Foo", "upper left")
+    ax_ref.add_artist(text0)
+
+    ax_test = fig_test.add_subplot()
+    text1 = AnchoredText("Bar", "upper left")
+    ax_test.add_artist(text1)
+    text1.txt.set_text("Foo")
+
+
+@image_comparison(['paddedbox.png'], remove_text=True, style='mpl20')
+def test_paddedbox():
+    fig, ax = plt.subplots()
+
+    ta = TextArea("foo")
+    pb = PaddedBox(ta, pad=5, patch_attrs={'facecolor': 'r'}, draw_frame=True)
+    ab = AnchoredOffsetbox('upper left', child=pb)
+    ax.add_artist(ab)
+
+    ta = TextArea("bar")
+    pb = PaddedBox(ta, pad=10, patch_attrs={'facecolor': 'b'})
+    ab = AnchoredOffsetbox('upper right', child=pb)
+    ax.add_artist(ab)
+
+    ta = TextArea("foobar")
+    pb = PaddedBox(ta, pad=15, draw_frame=True)
+    ab = AnchoredOffsetbox('lower right', child=pb)
+    ax.add_artist(ab)