Determine if set of points is convex.

This problem asks whether a given set of points is convex or not. A set of points is convex if, for any two points in the set, the line segment connecting them lies entirely within the set.

Isosceles Triangle Theorem

This theorem states that a triangle is isosceles if and only if the sum of the squares of its two shorter sides is equal to the square of its longest side.

Sum of Interior Angles of a Polygon

The sum of the interior angles of a polygon with n sides is (n-2)*180 degrees.