When you want to tell the difference between convex and concave polygons, it helps to visualize them. Let’s break it down into simple terms!

Convex Polygons:

• What It Is: A convex polygon is a shape where all its angles are less than 180 degrees. This means if you connect two points inside the shape, the line stays inside the polygon.
• Examples: Think of shapes like squares, rectangles, and regular pentagons. They have smooth, outward curves.

Concave Polygons:

• What It Is: A concave polygon has at least one angle that is more than 180 degrees. This creates a "caving in" look. If you draw a line between two points inside the shape, the line could go outside the polygon.
• Examples: Common examples include star-shaped polygons or some odd quadrilaterals that have inward dents.

How to Tell Them Apart:

1. Look at the Angles: Check the angles. If any angle is more than 180 degrees, it's concave.
2. Draw Lines in Your Mind: Imagine connecting two points inside the shape:
   • If the line stays inside, it's convex.
   • If it goes outside, then it's concave.

Fun Tip:

You can use your hands to feel these shapes! By bending your fingers to form angles, it can be easier to see the difference than just looking at pictures.

So, when you come across polygons in your math class, remember these simple tricks to help you figure them out!