Properties of Parallelograms

Front

What is a parallelogram?

Back

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

Front

What theorem states that the diagonals of a parallelogram bisect each other?

Back

The theorem that states the diagonals of a parallelogram bisect each other is known as the Diagonal Bisector Theorem.

Front

What can be concluded if one pair of opposite sides of a quadrilateral is both parallel and congruent?

Back

If one pair of opposite sides of a quadrilateral is both parallel and congruent, then the quadrilateral is a parallelogram.

Front

Are the opposite angles of a parallelogram congruent?

Back

Yes, the opposite angles of a parallelogram are congruent.

Front

What is the sum of the interior angles of a parallelogram?

Back

The sum of the interior angles of a parallelogram is 360 degrees.

Front

If one angle of a parallelogram is 70 degrees, what are the measures of the other angles?

Back

The opposite angle is also 70 degrees, and the adjacent angles are each 110 degrees.

Front

True or False: The diagonals of a parallelogram are always equal in length.

Back

False. The diagonals of a parallelogram bisect each other but are not necessarily equal in length.

Front

What is the relationship between the consecutive angles of a parallelogram?

Back

The consecutive angles of a parallelogram are supplementary, meaning they add up to 180 degrees.

Front

If the lengths of two adjacent sides of a parallelogram are 5 cm and 12 cm, what is the perimeter?

Back

The perimeter of the parallelogram is 34 cm (P = 2*(5 + 12)).

Front

What is the formula for the area of a parallelogram?

Back

The area of a parallelogram is given by the formula: Area = base × height.