Polygon Angles and Parallelogram Properties

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are both parallel and equal in length.

Tags

CCSS.3.G.A.1

Front

How can you determine if a quadrilateral is a parallelogram?

Back

A quadrilateral is a parallelogram if its diagonals bisect each other.

Tags

CCSS.HSG.CO.C.11

Front

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

Back

Front

What is the measure of each interior angle of a regular polygon with n sides?

Back

Front

What is the measure of each exterior angle of a regular polygon with n sides?

Back

Front

If the measure of an interior angle of a regular polygon is 160°, how many sides does it have?

Back

The polygon has 18 sides.

Front

If the measure of an interior angle of a regular polygon is 144°, how many sides does it have?

Back

The polygon has 10 sides.

Front

If the measure of an exterior angle of a regular polygon is 45°, how many sides does it have?

Back

The polygon has 8 sides.

Front

What is the measure of each interior angle of a regular 20-gon?

Back

Each interior angle of a regular 20-gon measures 162°.

Front

What is the relationship between the number of sides and the measure of an exterior angle in a regular polygon?

Back

The measure of an exterior angle is inversely proportional to the number of sides: as the number of sides increases, the measure of each exterior angle decreases.