Properties of 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 opposite sides in a parallelogram?

Back

In a parallelogram, opposite sides are congruent (equal in length).

Front

What are the properties of opposite angles in a parallelogram?

Back

In a parallelogram, opposite angles are congruent (equal in measure).

Front

What is the property of consecutive angles in a parallelogram?

Back

In a parallelogram, consecutive angles are supplementary, meaning they add up to 180 degrees.

Front

What is the property of diagonals in a parallelogram?

Back

In a parallelogram, the diagonals bisect each other, meaning they cut each other in half.

Front

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

Back

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

Front

How do you find the length of a side in a parallelogram if you know the lengths of the other sides?

Back

In a parallelogram, opposite sides are equal, so if one side is known, the opposite side will be the same 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

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

Back

Area = 10 cm × 5 cm = 50 cm².

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other but are not necessarily equal in length.