Properties and Definitions of Polygons

The video introduces polygons, defining them as plane figures made of segments joined at endpoints. It explains vertices and sides, differentiates between simple and complex polygons, and discusses diagonals. The video also covers convex and concave polygons, and concludes with regular polygons, highlighting their equal sides and angles.

What is a polygon?

• A figure with no vertices

• A three-dimensional shape

• A plane figure made up of segments joined at endpoints

• A figure with curved edges

Which of the following is NOT a characteristic of a polygon?

• Being made up of line segments

• Having vertices

• Being a plane figure

• Having curved edges

What distinguishes a simple polygon from a complex polygon?

• The number of sides

• The number of vertices

• The presence of curved edges

• Whether the sides intersect

How are diagonals of a polygon defined?

• Segments connecting the center to vertices

• Segments connecting the midpoint of sides

• Segments connecting adjacent vertices

• Segments connecting non-adjacent vertices

What is a characteristic of a convex polygon?

• All diagonals are inside the polygon

• It has no diagonals

• At least one diagonal is outside the polygon

• All diagonals are outside the polygon

What is a defining feature of a concave polygon?

• All diagonals are inside the polygon

• At least one diagonal passes outside the polygon

• It has no vertices

• It is a three-dimensional shape

What defines a regular polygon?

• All sides are of different lengths

• It has no diagonals

• All sides are equal in length and all angles are equal in measure

• All angles are of different measures

How can you identify equal sides in a regular polygon?

• By using letters

• By using different colors

• By using hash marks

• By using numbers

What is the purpose of using arcs in regular polygons?

• To mark the center of the polygon

• To identify equal angles

• To show the number of vertices

• To indicate the length of sides

Which of the following is true for a regular polygon?

• It has sides of varying lengths

• It has angles of varying measures

• It is both equilateral and equiangular

• It has no vertices