Polygon Properties and Angle Sums

The video tutorial introduces polygons, explaining that they are closed geometrical figures with three or more sides. It covers various types of polygons, including triangles, quadrilaterals, pentagons, hexagons, and more, detailing their side counts. The tutorial then explains how to calculate the sum of the interior angles of a polygon using a formula based on dividing the polygon into triangles. Examples are provided for quadrilaterals, hexagons, and nonagons to illustrate the calculation process. The video concludes by encouraging further exploration of polygon angle sums.

What is a polygon?

• A shape with curved lines

• A closed figure with three or more line segments

• A figure with only two sides

• A shape with no sides

How many sides does a triangle have?

• Six

• Five

• Three

• Four

What is a four-sided polygon called?

• Hexagon

• Quadrilateral

• Pentagon

• Triangle

Which polygon has five sides?

• Octagon

• Hexagon

• Pentagon

• Nonagon

What is the name of a seven-sided polygon?

• Decagon

• Septagon

• Hexagon

• Octagon

What is the name of a ten-sided polygon?

• Octagon

• Hexagon

• Nonagon

• Decagon

Which polygon is known as an octagon?

• A polygon with nine sides

• A polygon with eight sides

• A polygon with seven sides

• A polygon with six sides

How do you calculate the sum of the interior angles of a polygon?

• Add 2 to the number of sides and multiply by 180

• Subtract 2 from the number of sides and multiply by 180

• Multiply the number of sides by 180

• Divide the number of sides by 180

What is the formula to find the number of triangles a polygon can be divided into?

• Number of sides minus 2

• Number of sides minus 1

• Number of sides plus 2

• Number of sides divided by 2

How many triangles can a quadrilateral be divided into?

• One

• Two

• Three

• Four