Properties and Calculations of Polygons

The video tutorial explains polygons, focusing on regular and irregular types. It covers naming conventions for polygons based on the number of sides and delves into calculating interior and exterior angles. The tutorial provides formulas for determining the sum of interior angles and individual angles in regular polygons. It also explores the relationship between interior and exterior angles, offering practical examples and exam-style questions to reinforce understanding.

What defines a polygon?

• A shape with no sides

• An open shape with straight sides

• A closed shape with straight sides

• A shape with curved sides

Which of the following is a regular polygon?

• A shape with curved sides

• A shape with unequal sides

• A shape with open sides

• A shape with all sides and angles equal

What is a regular polygon with four sides called?

• Rhombus

• Square

• Rectangle

• Trapezoid

How many degrees do the interior angles of a triangle add up to?

• 180°

• 270°

• 90°

• 360°

What is the formula to find the interior angle sum of a polygon with n sides?

• (n - 2) * 180

• (n - 2) * 90

• n * 90

• n * 180

What is the interior angle of a regular hexagon?

• 135°

• 120°

• 108°

• 90°

How do you calculate the exterior angle of a regular polygon?

• 360 divided by the number of sides

• 180 minus the interior angle

• 360 minus the interior angle

• 180 divided by the number of sides

If the exterior angle of a regular polygon is 30°, how many sides does it have?

• 12

• 15

• 18

• 10

In a regular polygon, what is the relationship between the interior and exterior angles?

• They are equal

• They add up to 360°

• They add up to 90°

• They add up to 180°