Parallelograms

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with two sets of parallel sides.

Front

What are the properties of consecutive angles in a parallelogram?

Back

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

Front

What can be said about the opposite angles of a parallelogram?

Back

The opposite angles of a parallelogram are congruent, meaning they are equal in measure.

Front

If one angle of a parallelogram is 70 degrees, what is the measure of the opposite angle?

Back

The opposite angle is also 70 degrees.

Front

If two angles of a parallelogram are 120 degrees and 60 degrees, what can be said about the other two angles?

Back

The other two angles are also 120 degrees and 60 degrees, respectively, as opposite angles 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

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

Back

The length of the diagonal can be found using the formula: d = √(a² + b² - 2ab*cos(θ)), where a and b are the sides and θ is the angle between them.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

If the lengths of the sides of a parallelogram are 5 cm and 10 cm, what is the perimeter?

Back

The perimeter of the parallelogram is 30 cm (P = 2(a + b) = 2(5 + 10)).

Front

What is the area of a parallelogram?

Back

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