diff --git a/manimlib/mobject/svg/svg_mobject.py b/manimlib/mobject/svg/svg_mobject.py
index 3eaf86e0..744e5dd6 100644
--- a/manimlib/mobject/svg/svg_mobject.py
+++ b/manimlib/mobject/svg/svg_mobject.py
@@ -281,8 +281,7 @@ class SVGMobject(VMobject):
             matrix[:, 1] *= -1
 
             for mob in mobject.family_members_with_points():
-                # TODO, directly apply matrix?
-                mob.set_points(np.dot(mob.get_points(), matrix))
+                mob.apply_matrix(matrix.T)
             mobject.shift(x * RIGHT + y * UP)
         except:
             pass
@@ -355,10 +354,13 @@ class VMobjectFromSVGPathstring(VMobject):
         # higher up to Mobject somehow.
         hasher = hashlib.sha256(self.path_string.encode())
         path_hash = hasher.hexdigest()[:16]
-        filepath = os.path.join(get_mobject_data_dir(), f"{path_hash}.npy")
+        points_filepath = os.path.join(get_mobject_data_dir(), f"{path_hash}_points.npy")
+        tris_filepath = os.path.join(get_mobject_data_dir(), f"{path_hash}_tris.npy")
 
-        if os.path.exists(filepath):
-            self.set_points(np.load(filepath))
+        if os.path.exists(points_filepath) and os.path.exists(tris_filepath):
+            self.set_points(np.load(points_filepath))
+            self.triangulation = np.load(tris_filepath)
+            self.needs_new_triangulation = False
         else:
             self.relative_point = np.array(ORIGIN)
             for command, coord_string in self.get_commands_and_coord_strings():
@@ -373,7 +375,8 @@ class VMobjectFromSVGPathstring(VMobject):
             # SVG treats y-coordinate differently
             self.stretch(-1, 1, about_point=ORIGIN)
             # Save to a file for future use
-            np.save(filepath, self.get_points())
+            np.save(points_filepath, self.get_points())
+            np.save(tris_filepath, self.get_triangulation())
         check_and_fix_percent_bug(self)
 
     def get_commands_and_coord_strings(self):