Introduction to Polygons

Tell whether the figure is a polygon. If it is a polygon, name it by the number of its sides.

• polygon, decagon
• polygon, hexagon
• polygon, dodecagon
• not a polygon,

Tell whether the polygon is regular or irregular. Tell whether it is concave or convex.

• regular and concave
• irregular and concave
• regular and convex
• irregular and convex

What is the measure of each exterior angle of a dodecagon?

• 30⁰
• 36⁰
• 40⁰
• 60⁰

The door on a spacecraft is formed with 6 straight panels that overlap to form a regular hexagon. What is the measure of ∠YXZ?

• m∠YXZ = 60⁰
• m∠YXZ = 120⁰
• m∠YXZ = 180⁰
• m∠YXZ = 220⁰

What is the Sum of Interior Angles of a Polygon?

• 180(n-2)
• 180(n-2)/n
• 360(n-2)
• 360(n-2)/n

What is the Interior Angle of a Regular Polygon?

• 180(n-2)
• 180(n-2)/n
• 360(n-2)
• 360(n-2)/n

The Sum of Exterior Angles of a Polygon.

• The sum of measure is 90⁰
• The sum of measure is 180⁰
• The sum of measure is 270⁰
• The sum of measure is 360⁰

A segment that connects any two nonconsecutive vertices is a ___________.

• Angle
• Diagonal
• Side
• Vertex

A _________ is one that is both equilateral and equiangular.

• Concave Polygon
• Convex Polygon
• Irregular Polygon
• Regular Polygon

Find the sum of the interior angle of a regular 45-gon.

• 172⁰
• 176⁰
• 7740⁰
• 8100⁰