Polygon Flashcard Review 4-30-25

Front

What is a parallelogram?

Back

A parallelogram is a four-sided figure (quadrilateral) with opposite sides that are parallel and equal in length.

Front

What is the formula to find the measure of each interior angle of a regular polygon?

Back

The formula is: \( \text{Interior Angle} = \frac{(n-2) \times 180}{n} \), where \( n \) is the number of sides.

Front

How do you solve for x in a rectangle when given the lengths of the sides?

Back

Use the properties of rectangles, where opposite sides are equal, to set up an equation and solve for x.

Front

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

Back

The sum of the interior angles is given by the formula: \( (n-2) \times 180 \) degrees.

Front

What is the relationship between the angles in a parallelogram?

Back

In a parallelogram, opposite angles are equal, and adjacent angles are supplementary (sum to 180 degrees).

Front

If m∠BCA = 58° in a rectangle, what is m∠AEB?

Back

m∠AEB = 180° - m∠BCA = 180° - 58° = 122°.

Front

What is the measure of each interior angle of a regular 30-gon?

Back

Each interior angle of a regular 30-gon is 168°.

Front

What is the definition of a rectangle?

Back

A rectangle is a quadrilateral with four right angles (90 degrees) and opposite sides that are equal in length.

Front

How do you find the value of x in a parallelogram when given one angle?

Back

Use the property that opposite angles are equal and adjacent angles are supplementary.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is given by the formula: \( A = \text{length} \times \text{width} \).