Problem : Is the following polygon convex or concave?

Convex

Problem : Is the following polygon convex or concave?

Convex

Problem : Is the following polygon convex or concave?

Concave

Problem : Is the following polygon convex or concave?

Concave

Problem : A line l is the perpendicular bisector of one side of a regular polygon. Besides the midpoint of the bisected segment, where does l intersect the polygon?

If the polygon has an even number of sides, l intersects the polygon at the midpoint of the opposite segment. If the polygon has an odd number of sides, l intersects the polygon at a vertex.