Convex vs. Non-Convex
In the applets below,[br][br]Any polygon that is [color=#ff7700][b]orange[/b][/color] is a [color=#ff7700][b]CONVEX POLYGON.[/b] [br][/color]Any polygon that is [color=#1e84cc][b]blue[/b][/color] is a [b][color=#1e84cc][b]NON-CONVEX[/b] POLYGON. [br][br][/color][/b]Interact with these applets for a few minutes. [br]As you do, be sure to move the polygon's BIG WHITE VERTICES AROUND! [br]Then, answer the questions that follow.
1.
2.
1.
According to the 2nd applet, how would you describe what it means for a polygon to be [color=#ff7700][b]convex[/b][/color]? How would you describe what it means for a polygon to be [color=#1e84cc][b]non-convex[/b][/color]?
2
Take another look at the 1st applet. How could you define the terms [i][color=#ff7700][b]convex[/b][/color][/i] and [i][color=#1e84cc][b][b]non-convex[/b][/b][/color][/i] with respect to the segment "inside" the polygon?
3.
Is it ever possible for a triangle to be [color=#1e84cc][b][b]non-convex[/b][/b][/color]? Why or why not?