Exploring Polygons: Sides, Angles, and Congruence

This video tutorial introduces polygons, explaining their properties, naming conventions, and differences between regular and irregular polygons. It covers the concept of congruence, using tick and arc marks to denote congruent sides and angles. The tutorial also discusses the sum of interior angles in polygons, emphasizing the importance of counting sides accurately.

What defines a polygon?

• A closed plane figure formed by three or more line segments

• An open figure formed by two line segments

• A figure with only curved lines

• A shape with any number of sides

What does the prefix 'hexa-' signify in polygon names?

• Eight sides

• Seven sides

• Six sides

• Five sides

What does the prefix 'penta-' indicate?

• Four sides

• Three sides

• Five sides

• Six sides

How many sides does a decagon have?

• 12

• 10

• 9

• 8

How many vertices does a hexagon have?

• 6

• 7

• 5

• 8

What makes two polygons congruent?

• Having the same size and shape

• Having a different number of sides

• Being both polygons

• Having the same color

What is a regular polygon?

• A polygon with all sides and angles congruent

• A polygon that can fit inside a circle

• A polygon with all sides and angles of different lengths and measures

• A polygon with only right angles

What are irregular polygons?

• Polygons that are not closed figures

• Polygons with only right angles

• Polygons with all sides of the same length

• Polygons with sides of different lengths

What is the sum of the interior angles of a triangle?

• 540 degrees

• 90 degrees

• 180 degrees

• 360 degrees

What is the sum of the interior angles of a quadrilateral?

• 180 degrees

• 90 degrees

• 540 degrees

• 360 degrees