Basic Properties of Parallelograms

Front

What is a parallelogram?

Back

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

Front

What are the properties of opposite angles in a parallelogram?

Back

In a parallelogram, opposite angles are equal.

Front

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

Back

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

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°.

Front

What happens to the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

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

Back

The opposite angle is also 70°, and the consecutive angles are 110° each.

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

Area = base × height.

Front

If the base of a parallelogram is 5 cm and the height is 10 cm, what is the area?

Back

Area = 5 cm × 10 cm = 50 cm².

Front

What is the relationship between the sides of a parallelogram?

Back

Opposite sides of a parallelogram are equal in length.