Properties of Parallelograms

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 are the properties of opposite sides in a parallelogram?

Back

In a parallelogram, opposite sides are congruent (equal in length).

Front

What are the properties of opposite angles in a parallelogram?

Back

In a parallelogram, opposite angles are congruent (equal in measure).

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 120 degrees, what are the measures of the other angles?

Back

The other angles are 60 degrees, 120 degrees, and 60 degrees.

Front

What is the relationship between consecutive angles in a parallelogram?

Back

Consecutive angles in a parallelogram are supplementary, meaning they add up to 180 degrees.

Front

If the length of side AB is 10 cm, what is the length of side CD in a parallelogram?

Back

The length of side CD is also 10 cm, as opposite sides are equal.

Front

How do you find the area of a parallelogram?

Back

The area of a parallelogram is found using the formula: Area = base × height.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other, meaning they cut each other in half.

Front

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

Back

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