Convex polygons

Convex polygons are polygons for which a line segment joining any two points in the interior lies completely within the figure.

The figure above with six sides meets this criteria and therefore is a convex polygon.

No matter how I choose two points inside this polygon, the line segment joining these two points will always be inside the figure.

More examples of convex polygons

Notice that a triangle such as an isosceles triangle, a scalene triangle, a right triangle, or an obtuse triangle is always a convex polygon.

Rectangles, squares, and trapezoids too are always convex as well

Finally, all regular polygons, such as a pentagon, hexagon, septagon, octagon, and so forth are always convex

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