Question

A polygon is convex if and only if a segment connecting any two vertices never passes through the exterior of the polygon.If this statement is true, then which of the following statements must also be true?A.A segment connecting any two vertices of a polygon never passes through the exterior of a polygon if and only if the polygon is not convex.B.A polygon is not convex if and only if a segment connecting any two vertices never passes through the exterior of the polygon.C.A polygon is convex if and only if a segment connecting any two vertices never passes through the interior of the polygon.D.A polygon is not convex if and only if a segment connecting any two vertices passes through the exterior of the polygon.

Answer 1

Answer:

D

Explanation:

A is the same thing as the statement, only that it says if the polygon is convex. Same thing for B. C could've worked if it said exterior instead of interior. D is basically the converse of the statement.