Polygons, Centroids & Circumcentres!

Geometry Level 3

XX is a polygon with n[3]n [\geq3] sides. The centroid and the circumcentre of XX happens to be the same point. Read the following statements about XX

[1][1]. If n=3n=3, then XX is a regular polygon.

[2][2] If n=4n=4, then XX is not necessarily a regular polygon.

[3][3]. XX is a regular polygon whenever n4n\neq 4.

Which of these statements are correct?


This problem is from the set "MCQ Is Not As Easy As 1-2-3". You can see the rest of the problems here.

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