Draw smaller polygon inside larger one

These are points for a 5x sided polygon, Im using "g.DrawPolygon(Pens.Black, some_Points)" to draw it on the screen. In my program they change whenever you resize or move the polygon.
70, 160
150, 100
280, 100
280, 230
70, 230

How should I draw a smaller dotted line around the inside edge of this polygon? I realise I can use g.DrawPolygon again but I cant think of a way to work out the new points for the inside shape :)

If a picture helps, Im trying to draw the inner dashed line kind of like this:
http://i65.photobucket.com/albums/h219/photocosi/testroof2.png

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craigdevAsked:
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omegaomegaConnect With a Mentor DeveloperCommented:
Hello, Craig,

I would try creating a GraphicsPath object from the points of your polygon.  (See the AddPolygon method of the GraphicsPath object.)  Then you could use the Transform method to scale and translate the path into the new size and position.

Cheers,
Randy
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