Classifying Polygons Review

Front

What is a concave polygon?

Back

A concave polygon is a polygon that has at least one interior angle greater than 180 degrees, causing it to 'cave in'.

Front

What is a convex polygon?

Back

A convex polygon is a polygon where all interior angles are less than 180 degrees, and no line segment between any two points on the boundary ever goes outside the polygon.

Front

How can you identify a concave polygon?

Back

A concave polygon can be identified if at least one of its angles is greater than 180 degrees, or if a line segment drawn between two points on the boundary lies outside the polygon.

Front

How can you identify a convex polygon?

Back

A convex polygon can be identified if all its angles are less than 180 degrees, and any line segment drawn between two points on the boundary remains inside the polygon.

Front

What is the sum of the interior angles of a polygon with n sides?

Back

The sum of the interior angles of a polygon with n sides is (n-2) × 180 degrees.

Front

What is a regular polygon?

Back

A regular polygon is a polygon with all sides and all angles equal.

Front

What is an irregular polygon?

Back

An irregular polygon is a polygon that does not have all sides and angles equal.

Front

Can a polygon have more than one concave angle?

Back

Yes, a polygon can have multiple concave angles, making it a concave polygon.

Front

What is the difference between a concave and a convex polygon?

Back

The main difference is that a concave polygon has at least one interior angle greater than 180 degrees, while a convex polygon has all interior angles less than 180 degrees.

Front

Give an example of a concave polygon.

Back

An example of a concave polygon is a star-shaped polygon.