Convex and Concave Polygons

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 tutorial provides methods to identify these types by extending the sides of polygons and checking if they enter the interior. Examples of both convex and concave polygons are demonstrated to reinforce the concepts.

What is the main difference between convex and concave polygons?

• Convex polygons have sides that cross the interior.

• Concave polygons have sides that never cross the interior.

• Concave polygons have no sides.

• Convex polygons have sides that never cross the interior.

Which of the following is true about convex polygons?

• Their sides can cross the interior.

• Their sides never cross the interior.

• They are always regular polygons.

• They have at least one side that crosses the interior.

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

• They never cross the interior.

• They always form a circle.

• They cross the interior.

• They become parallel.

How can you determine if a polygon is concave?

• By checking if all sides are equal.

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

• By measuring the angles.

• By counting the number of sides.

Which of the following is an example of a convex polygon?

• A polygon with a hole.

• A star-shaped polygon.

• A regular hexagon.

• A polygon with a dent.

Which of the following is NOT a property of convex polygons?

• Their sides never cross the interior.

• They are always simple polygons.

• They can have sides that cross the interior.

• All interior angles are less than 180 degrees.

What is a common feature of all convex polygons?

• They have at least one angle greater than 180 degrees.

• They are always irregular.

• Their sides can be extended without crossing the interior.

• They always have equal sides.

What is a characteristic of a concave polygon?

• All angles are less than 90 degrees.

• At least one interior angle is greater than 180 degrees.

• All sides are equal.

• It has no vertices.

In a concave polygon, what is true about the extension of its sides?

• They intersect the interior.

• They never intersect the interior.

• They are always parallel.

• They form a closed loop.

What is the best method to identify a concave polygon?

• Measure the perimeter.

• Count the number of vertices.

• Extend the sides and see if any enter the interior.

• Check if it has more than four sides.