A polygon is convex if, for every pair of points, P and Q belonging to the polygon, the line segment PQ lies completely inside or on the polygon. Which one of the following is NOT a convex polygon?

A polygon is convex if, for every pair of points, P and Q belonging to the polygon, the line segment PQ lies completely inside or on the polygon. Which one of the following is NOT a convex polygon? Correct Answer <img alt="F2 Gaurav Mankar 31-3-2021 Swati D06" src="//storage.googleapis.com/tb-img/production/21/03/F2_Gaurav%20Mankar_31-3-2021_Swati_D06.png" style="width: 87px; height: 85px;">

Given:

Different types of figures

Calculation:

⇒ In any two points are inside in polygon, then line by joining these points will also be inside same polygon.

⇒ The polygon in the first image is not convex because if you take any two corner points then it will not be inside the polygon.

∴ The required result will be an option "1".

Related Questions

The letters P, Q, R, S, T and U are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order. Consider the following statements: The line segment joining R and S is longer than the line segment joining P and Q. The line segment joining R and S is perpendicular to the line segment joining P and Q. The line segment joining R and U is parallel to the line segment joining T and Q. Based on the above statements, which one of the following options is CORRECT?