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 angles in a parallelogram?

Back

The opposite angles of a parallelogram 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 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 (supplementary to 70 degrees).

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

How do you find the length of a diagonal in a parallelogram?

Back

Use the formula: d = √(a² + b² - 2ab cos(θ)), where a and b are the lengths of the sides and θ is the angle between them.

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.

Front

If the base of a parallelogram is 5 cm and the height is 3 cm, what is the area?

Back

The area is 15 cm² (Area = 5 cm × 3 cm).

Front

What is the relationship between adjacent angles in a parallelogram?

Back

Adjacent angles in a parallelogram are supplementary (they add up to 180 degrees).

Front

If the lengths of the sides of a parallelogram are 8 cm and 6 cm, what can be said about the opposite sides?

Back

The opposite sides are equal in length; thus, one side is 8 cm and the opposite side is also 8 cm, while the other two sides are 6 cm each.