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 a parallelogram?

Back

1. Opposite sides are equal in length. 2. Opposite angles are equal. 3. The diagonals bisect each other. 4. Consecutive angles are supplementary.

Front

How do you calculate the area of a parallelogram?

Back

Area = base × height.

Front

What is the relationship between the angles in a parallelogram?

Back

The sum of the interior angles of a parallelogram is 360 degrees. Opposite angles are equal, and consecutive angles are supplementary.

Front

If one angle of a parallelogram is 48 degrees, what are the other angles?

Back

The opposite angle is also 48 degrees, and the consecutive angles are 132 degrees each.

Front

What is the formula for the perimeter of a parallelogram?

Back

Perimeter = 2 × (base + height).

Front

If the lengths of the sides of a parallelogram are 10 cm and 8 cm, what is its perimeter?

Back

Perimeter = 2 × (10 cm + 8 cm) = 36 cm.

Front

What is the significance of the diagonals in a parallelogram?

Back

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

Front

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

Back

Front

What is the relationship between the sides of a parallelogram?

Back

Opposite sides are equal in length, and adjacent sides can be of different lengths.