Parallelogram

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 a parallelogram?

Back

1. Opposite sides are equal in length. 2. Opposite angles are equal. 3. The diagonals bisect each other.

Front

If the opposite angles of a parallelogram are 70 degrees, what are the measures of the other two angles?

Back

The other two angles are 110 degrees each.

Front

How do you find the area of a parallelogram?

Back

Area = base × height.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

If one angle of a parallelogram is 60 degrees, what are the measures of the other angles?

Back

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

Front

Solve for x: In a parallelogram, if one angle is (2x + 10) degrees and the adjacent angle is (3x - 20) degrees, what is x?

Back

x = 10.

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

Back

Perimeter = 2 × (5 cm + 12 cm) = 34 cm.

Front

What is the formula for the length of the diagonals of a parallelogram?

Back

The lengths of the diagonals can be found using the formula: d1 = √(a² + b² - 2ab cos(θ)) and d2 = √(a² + b² + 2ab cos(θ)), where a and b are the lengths of the sides and θ is the angle between them.