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.
About this solution: The candidate's solution is correct and demonstrates a level of completeness. The approach is straightforward and easy to understand.
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.
About this solution: This solution is correct.
The sum of the interior angles of a polygon with n sides is (n-2)*180 degrees.
About this solution: The candidate's solution is correct and demonstrates a good understanding of the problem. The approach is clear and concise.