Convex and Concave Polygons

This video tutorial introduces students to the concepts of convex and concave polygons. It explains that convex polygons have all sides pushed outward, while concave polygons have at least two sides pushed inward. The teacher provides examples of each type and offers mnemonic devices to help students remember the differences. The lesson concludes with a review and a homework assignment to draw examples of both types of polygons.

What is the main focus of this lesson?

• Understanding the properties of circles

• Identifying different types of triangles

• Exploring the history of geometry

• Learning about convex and concave polygons

Which of the following is a characteristic of a convex polygon?

• All sides are pushed inward

• At least two sides are pushed inward

• All sides are pushed outward

• At least one side is curved

Which shape is NOT an example of a convex polygon?

• Hexagon with all sides outward

• Star with some sides inward

• Square with all sides outward

• Triangle with all sides outward

What is a common feature of all convex polygons?

• They have curved sides

• All sides are pushed inward

• All sides are pushed outward

• They have no angles

What is another term for concave polygons?

• Regular polygons

• Non-convex polygons

• Irregular polygons

• Convex polygons

How many sides must be pushed inward for a polygon to be considered concave?

• At least two

• At least one

• All sides

• None

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

• A hexagon with all sides outward

• A square with all sides outward

• A star with some sides inward

• A triangle with all sides outward

Which of the following is true about non-convex polygons?

• All sides are pushed outward

• At least two sides are pushed inward

• They are also known as convex polygons

• They have no sides

What mnemonic device is suggested to remember concave polygons?

• Think of a balloon expanding

• Imagine a roof caving in

• Visualize a straight line

• Picture a circle

What is the mnemonic device related to concave polygons?

• A roof caving in

• A balloon expanding

• A straight line

• A circle