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A convex polygon is a polygon such that no side extended cuts any other side or vertex; it can be cut by a straight line in at most two points Example: A square is a convex polygon, as is an eqilateral triangle. A star shaped polygon is NOT convex. More generally, In Euclidean space, objects are convex if for every pair of points within the object, every point on the straight line segment that joins them is also within the object.

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Q: What is convex and given an example?
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