Diagonals and Properties of Polygons

The video tutorial covers the classification of polygons based on the number of sides and explores the concept of diagonals within polygons. It distinguishes between simple and complex polygons, as well as convex and concave polygons. The tutorial provides specific names for polygons with different numbers of sides and explains how to calculate the number of diagonals using a formula. The video aims to enhance understanding of polygon properties and their geometric characteristics.

What is a simple polygon?

• A polygon with curved edges

• A polygon with more than four sides

• A polygon with non-intersecting sides

• A polygon with intersecting sides

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

• Some sides cave into the interior

• All diagonals are outside the polygon

• All diagonals are inside the polygon

• It has at least one curved edge

What is a polygon with five sides called?

• Heptagon

• Pentagon

• Quadrilateral

• Hexagon

How many diagonals does a triangle have?

• Two

• One

• Zero

• Three

If a quadrilateral has four sides, how many diagonals does it have?

• Four

• Three

• Two

• One

How many diagonals are there in a pentagon?

• Three

• Five

• Four

• Six

For a hexagon, how many diagonals can be drawn from each vertex?

• One

• Two

• Three

• Four

What is the total number of diagonals in a hexagon?

• Seven

• Eight

• Ten

• Nine

How many diagonals does a heptagon have?

• Fifteen

• Fourteen

• Thirteen

• Twelve

What is the formula to calculate the number of diagonals in a polygon with n sides?

• n(n-1)/2

• n(n-4)/2

• n(n-2)/2

• n(n-3)/2