Is there an easy way to know if a point is in the filled area of a polygon ?

In an educative game, i paved the screen with irregular polygons (like the
pieces of a puzzle). Of course, the rect of the polygon overlap, but not their
visible area.
I grab a button.
In the mouseUp script of the button i need to know which polygon is under the
center of the grabed button.
How could i perform this task ?

Claude Lemmel

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