# Polygons: Convex vs. Concave

- Author:
- Alex Fetterman, Tim Brzezinski

- Topic:
- Polygons

In the applets below,
Any polygon that is

**orange**is a**CONVEX POLYGON.**Any polygon that is**blue**is a**CONCAVE POLYGON.**Interact with these applets for a few minutes. As you do, be sure to move the polygon's BIG WHITE VERTICES AROUND! 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 **convex**? How would you describe what it means for a polygon to be **concave**?

## 2

Take another look at the 1st applet. Place BOTH the endpoints of the adjustable line segment somewhere on the boundary of a variety of different shapes. How might you define the terms * convex* and

*with respect to this line segment?*

**concave**## 3.

Is it ever possible for a triangle to be **concave**? Why or why not?