Convex polygons
Convex polygons are polygons for which a line segment joining any two points in the
interior
lies completely within the figure
The word interior is important. You cannot choose one point inside and one point outside the figure
The following figure is convex:
No matter how I choose two points inside this polygon, the line segment joining these two points will always be inside
the figure.
Notice that a triangle, isosceles, scalene, right, or obtuse is always convex
Rectangles, squares, and trapezoid too are always convex
Finally, all regular polygons, such as a pentagon, hexagon, septagon, octagon, and so forth are always convex
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