The video tutorial explains how to determine if a polygon is convex or concave. Convex polygons have sides that, when extended, do not cross the interior, while concave polygons have sides that do. The method involves extending each side of the polygon; if any extension enters the interior, the polygon is concave. The video provides examples of both convex and concave polygons to illustrate these concepts.

What is a key characteristic of a convex polygon?

• It has at least one side that is curved.

• Its sides, when extended, do not cross the interior.

• Its sides, when extended, cross the interior.

• It has more than four sides.

How can you determine if a polygon is concave?

• By counting the number of vertices.

• By measuring the angles to see if they are all acute.

• By extending the sides and seeing if any enter the interior.

• By checking if all sides are equal.

What happens when you extend the sides of a concave polygon?

• They cross the interior.

• They form a circle.

• They become parallel.

• They never cross the interior.

In the examples given, what indicates a polygon is concave?

• All sides are of different lengths.

• At least one side extension enters the interior.

• The polygon has more than five sides.

• The polygon is symmetrical.

What is true about the sides of a convex polygon in the examples?

• They are all perpendicular to each other.

• They are all parallel to each other.

• They form a closed loop without crossing the interior.

• They are all equal in length.