See this discussion:
graphics - Point in Polygon aka hit test - Stack Overflow
A possible simple solution (which actually delegates the problem to the native graphics code):
1. Create a Path object that follows the polygon sides.
2. Use Canvas.ClipPath to limits the drawings to the polygon.
3. Fill the polygon using Canvas.DrawRect with a color that is slightly different than the background.
When the user touches the screen you should check Canvas.Bitmap.GetPixel and find the point color. The color will tell you whether this point is inside or outside the polygon.
Note that you should first check the value of a known inner-point to find the actual color value, as it might change.