Polygon Angles, Parallelograms, and Rectangles

Front

What is a polygon?

Back

A polygon is a closed figure formed by a finite number of straight line segments connected end to end.

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 given by the formula: (n - 2) × 180°.

Front

How do you find the measure of one interior angle in a regular polygon?

Back

To find the measure of one interior angle in a regular polygon, use the formula: \( \frac{(n - 2) \times 180°}{n} \) where n is the number of sides.

Front

What is a parallelogram?

Back

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

Front

What are the properties of a rectangle?

Back

A rectangle is a parallelogram with four right angles and opposite sides that are equal in length.

Front

If one diagonal of a rectangle is 9 in, what is the measure of the other diagonal?

Back

9 in (both diagonals of a rectangle are equal in length).

Front

What is the measure of one interior angle in a regular pentagon?

Back

108°.

Front

What is the relationship between interior and exterior angles of a polygon?

Back

The interior and exterior angles of a polygon are supplementary, meaning they add up to 180°.

Front

How do you find the measure of an exterior angle of a regular polygon?

Back

The measure of an exterior angle of a regular polygon is given by the formula: \( \frac{360°}{n} \) where n is the number of sides.

Front

If an exterior angle of a regular polygon has a measure of 36 degrees, how many sides does it have?

Back

10 sides.