GEO Chapter 7 Polygons

Front

What is a polygon?

Back

A polygon is a closed figure formed by a finite number of straight line segments that connect to form a closed chain or circuit.

Front

What are the characteristics of 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

What are the characteristics of a concave polygon?

Back

A concave polygon is a polygon that has at least one interior angle greater than 180 degrees, causing at least one line segment between two points on the boundary to lie outside the polygon.

Front

What is the sum of the exterior angles of any polygon?

Back

The sum of the exterior angles of any polygon is always 360 degrees, regardless of the number of sides.

Front

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

Back

To find the measure of one exterior angle of a regular polygon, divide 360 degrees by the number of sides (n): Exterior angle = 360/n.

Front

What is a decagon?

Back

A decagon is a polygon with 10 sides and 10 angles.

Front

What is the formula for the sum of the interior angles of a polygon?

Back

The sum of the interior angles of a polygon can be calculated using the formula: (n - 2) × 180 degrees, where n is the number of sides.

Front

What is the measure of one interior angle of a regular octagon?

Back

To find the measure of one interior angle of a regular octagon, use the formula: ((n - 2) × 180)/n. For an octagon (n=8), it is 135 degrees.

Front

What is a regular polygon?

Back

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

Front

What is the difference between a polygon and a non-polygon?

Back

A polygon is a closed figure with straight sides, while a non-polygon may have curved sides or may not be closed.