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 is the formula for the area of a parallelogram?

Back

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

Front

How do you find the height of a parallelogram if the area and base are known?

Back

To find the height, use the formula: height = Area / base.

Front

What is the relationship between the base and height of a parallelogram?

Back

The base and height are perpendicular to each other; the height is the vertical distance from the base to the opposite side.

Front

What is the area of a parallelogram with a base of 10 cm and a height of 5 cm?

Back

Area = base × height = 10 cm × 5 cm = 50 cm².

Front

If the area of a parallelogram is 120 ft² and the base is 20 ft, what is the height?

Back

Height = Area / base = 120 ft² / 20 ft = 6 ft.

Front

What are the properties of the sides of a parallelogram?

Back

In a parallelogram, opposite sides are equal in length and parallel.

Front

What are the properties of the angles in a parallelogram?

Back

In a parallelogram, opposite angles are equal, and adjacent angles are supplementary (add up to 180°).

Front

How do you determine if a quadrilateral is a parallelogram?

Back

A quadrilateral is a parallelogram if one pair of opposite sides is both parallel and equal in length.

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.