diff --git a/modules/juce_graphics/geometry/juce_Line.h b/modules/juce_graphics/geometry/juce_Line.h
index cf1b9646a3..95665c5235 100644
--- a/modules/juce_graphics/geometry/juce_Line.h
+++ b/modules/juce_graphics/geometry/juce_Line.h
@@ -153,6 +153,18 @@ public:
     bool operator!= (const Line& other) const noexcept                      { return start != other.start || end != other.end; }
 
     //==============================================================================
+    /** Finds the intersection between two lines.
+
+        @param line     the line to intersect with
+        @returns        the point at which the lines intersect, even if this lies beyond the end of the lines
+    */
+    Point<ValueType> getIntersection (const Line& line) const noexcept
+    {
+        Point<ValueType> p;
+        findIntersection (start, end, line.start, line.end, p);
+        return p;
+    }
+
     /** Finds the intersection between two lines.
 
         @param line             the other line
@@ -170,16 +182,11 @@ public:
         return findIntersection (start, end, line.start, line.end, intersection);
     }
 
-    /** Finds the intersection between two lines.
-
-        @param line     the line to intersect with
-        @returns        the point at which the lines intersect, even if this lies beyond the end of the lines
-    */
-    Point<ValueType> getIntersection (const Line& line) const noexcept
+    /** Returns true if this line intersects another. */
+    bool intersects (const Line& other) const noexcept
     {
-        Point<ValueType> p;
-        findIntersection (start, end, line.start, line.end, p);
-        return p;
+        Point<ValueType> ignored;
+        return findIntersection (start, end, other.start, other.end, ignored);
     }
 
     //==============================================================================
diff --git a/modules/juce_graphics/geometry/juce_Rectangle.h b/modules/juce_graphics/geometry/juce_Rectangle.h
index 7dc0e736be..4c38837f37 100644
--- a/modules/juce_graphics/geometry/juce_Rectangle.h
+++ b/modules/juce_graphics/geometry/juce_Rectangle.h
@@ -563,6 +563,16 @@ public:
             && other.w > ValueType() && other.h > ValueType();
     }
 
+    /** Returns true if any part of the given line lies inside this rectangle. */
+    bool intersects (const Line<ValueType>& line) const noexcept
+    {
+        return contains (line.getStart()) || contains (line.getEnd())
+                || line.intersects (Line<ValueType> (getTopLeft(),     getTopRight()))
+                || line.intersects (Line<ValueType> (getTopRight(),    getBottomRight()))
+                || line.intersects (Line<ValueType> (getBottomRight(), getBottomLeft()))
+                || line.intersects (Line<ValueType> (getBottomLeft(),  getTopLeft()));
+    }
+
     /** Returns the region that is the overlap between this and another rectangle.
         If the two rectangles don't overlap, the rectangle returned will be empty.
     */